IBDP Mathematical Studies Internal Assessment

What is the Relationship between the Free Throw Success Rate and
Height/Weight of Basketball Players in the NBA?

1
INTRODUCTION
The National Basketball Association is the flagship league in the world of competitive
basketball. The NBA is a top tier league in the world of basketball and only the very best
players are able to compete at this level. We see that there are hundreds of players in this
association and as a result, they all belong to different ethnicities and races. Since this large
variation occurs, there are many players attempting free throws as well. Free throws are taken
by the player who was fouled and not by any specific player of the team at all times. A free
throw is an unimpeded attempt at a basket (worth one point) awarded to a player following a
foul or other infringement. As a result of the high number of individuals, the ranges of height
in the NBA is also extremely high and perhaps this same height could be a possible factor in
terms of shooting ability in terms of free throws for the players. Similarly, there will also be a
range of weight across the NBA and this too could be a possible factor that affects the
shooting ability of the player taking the free throw. This topic was extremely interesting as
the diversity of results was astounding and insightful about how sports is also highly affected
by mathematical data.

STATEMENT OF TASK
The main purpose of this investigation is to determine whether there is a relationship between
the height and/or weight of an NBA player and his shooting ability in terms of free throws.
The data that will be analysed and collected will be that of the various heights and weights of
the NBA players that took part in the 2015/16 season and the number of free throws they
attempted as well as the number of free throws they completed out of those attempts. The
range of the data shall be from the shortest players of the NBA (5 feet 9 inches) to the tallest
players of the NBA (7 feet 2 inches) and secondly ranging from the lightest players (161-170
pounds) to the heaviest players (281-290 pounds). All the data collected for the height
category will be split into 17 columns and that of weight into 13 columns.

PLAN OF INVESTIGATION
I will be investigating the relationship of the success rate of free throws of NBA players and
their height/weight. I will collect data on NBA players on the basis of their statistics for the
2015/2016 season. Using the collected data, various mathematical processes will be used to
analyse the said data. These will be the Standard Deviation Process, Pearson’s Correlation
Coefficient and the Scatter Plot Graphing system and the Chi-Squared Test. These processes
are being used in order to achieve a clear and accurate result for this investigation. Commented [K1]: Student produces a clear title , a
statement of task and a clear description of plan.
Criteria A

2
MATHEMATICAL INVESTIGATION

COLLECTED DATA

TABLE 1. Height in relation to Free Throws Success

This data was collected and amassed in order to allow the investigation of the suggested
correlation. The data has been collected as per the 2015/16 statistics of the NBA and has been
arranged in an increasing order of height.

HEIGHT (X) NUMBER OF SUM SUM

PLAYERS (FTA)(Y1) (FTM)(Y2)

175.26 2 394 333

180.34 3 490 359

182.88 12 1530 1261

185.42 14 1949 1564

187.96 16 1856 1517

190.5 30 4880 4037

193.04 29 3462 2658

195.58 23 3559 2895

198.12 40 3621 2677

200.66 37 4683 3702

203.2 42 5716 4209

205.74 67 7521 5328

208.28 36 4818 3441

210.82 39 5924 3976

213.36 28 3886 2801

215.9 7 1390 1007

218.44 2 303 249

TOTAL 427 55982 42014

3
TABLE 2. Weight in relation to Free Throw Success %
This data was collected and amassed in order to allow the investigation of the suggested
correlation. The data has been collected as per the 2015/16 statistics of the NBA and has been
arranged in an increasing order of weight.

Weight Range NUMBER of Sum (FTA) Sum (FTM)

players

161-170 6 548 450

171-180 19 1951 1588

181-190 40 5899 4675

191-200 43 5917 4763

201-210 45 5542 4337

211-220 56 8417 6624

221-230 50 4877 3601

231-240 58 7015 4910

241-250 50 6426 4616

251-260 33 4371 3155

261-270 15 3082 1862

271-280 8 1344 989

281-290 4 593 444

TOTAL 427 55982 42014

Commented [K2]: Relevant information collected
Criterion B↓

4
 MATHEMATICAL PROCESSES

Standard Deviation

Purpose: The Standard Deviation process has been used in this investigation as the values
attained will allow further investigation on the nature of the variance of the data collected.

2 Commented [K3]: Incorrect mathematical notation

Σ(𝑥𝑖 − 𝑥𝑚) Criterion G↓
𝑆𝑡𝑎𝑛𝑑𝑎𝑟𝑑 𝐷𝑒𝑣𝑖𝑎𝑡𝑖𝑜𝑛 = √
𝑛

𝑥𝑖 denotes the individual x values of the data table

𝜇 denotes the mean of the x values of the data table

n represents the total number of values present in the x value table

Table 1: Calculations for the Standard deviation for height and free throws made

The average number of free throws between the players was undertaken in order to
achieve accurate results about height may truly have an effect on the success rate of a
free throw as there is a large difference in the number of players present in each
category of height.

Free Throws Avg Free Throws

HEIGHT number of players 𝑥𝑖 − 𝑥𝑚 (𝑥𝑖 − 𝑥𝑚)2 Commented [K4]: Incorrect mathematical notation
Made Made
Criterion G↓

175.26 2 333
1 166.5 -22.7105882 515.7708164

180.34 3 359
2 119.6666667 -17.6305882 310.8376403

182.88 12 1261
3 105.0833333 -15.0905882 227.7258522

185.42 14 1564
4 111.7142857 -12.5505882 157.5172642

187.96 16 1517
5 94.8125 -10.0105882 100.2118761

5
6 190.5 30 4037 134.5666667 -7.4705882 55.80968805

7 193.04 29 2658 91.65517241 -4.9305882 24.3107

8 195.58 23 2895 125.8695652 -2.3905882 5.714911942

9 198.12 40 2677 66.925 0.1494118 0.022323886

10 200.66 37 3702 100.0540541 2.6894118 7.23293583

11 203.2 42 4209 100.2142857 5.2294118 27.34674777

12 205.74 67 5328 79.52238806 7.7694118 60.36375972

13 208.28 36 3441 95.58333333 10.3094118 106.2839717

14 210.82 39 3976 101.9487179 12.8494118 165.1073836

15 213.36 28 2801 100.0357143 15.3894118 236.8339955

16 215.9 7 1007 143.8571429 17.9294118 321.4638075

17 218.44 2 249 124.5 20.4694118 418.9968194

TOTAL 3365.5 1862.508826 2741.550494

MEAN 197.9705882 109.5593427

Calculation of Standard Deviation for Height/Free Throws Made

Σ(𝑥𝑖 − 𝑥𝑚)2
√
𝑛

2741.550494
=√
17

= 12.69912108 Commented [K5]: No interpretation of obtained result.

Criterion D↓

6
Table 1: Calculations for the Standard deviation for weight and free throws made

The average number of free throws between the players was undertaken in order to
achieve accurate results about weight may truly have an effect on the success rate of a
free throw as there is a large difference in the number of players present in each
category of height.

Weight Avg. Free number of

Range Throws Made players 𝑥𝑖 − 𝜇 (𝑥𝑖 − 𝜇)2

165.5 75 6 -60 3600

175.5 83.57894737 19 -50 2500

185.5 116.875 40 -40 1600

195.5 110.7674419 43 -30 900

205.5 96.37777778 45 -20 400

215.5 118.2857143 56 -10 100

225.5 72.02 50 0 0

235.5 84.65517241 58 10 100

245.5 92.32 50 20 400

255.5 95.60606061 33 30 900

265.5 124.1333333 15 40 1600

275.5 123.625 8 50 2500

285.5 111 4 60 3600

TOTAL 2931.5 1304.244448 18200

MEAN 225.5 100.326496

7
 Σ(𝑥𝑖 −𝜇)2
Calculations:√
𝑛

18200
√
13

=37.41657387 Commented [K6]:

No interpretations Criterion D↓

As observed, we see that there is a large standard deviation in both cases suggesting there is a large

variance in the data collected.

8
 Pearson’s Correlation Coefficient

The purpose of using the Pearson’s correlation Coefficient is that it allows for an accurate
measurement of the possible correlations in the investigated factors of the collected data and
is key to reaching a concise conclusion for the investigation as to whether height and weight
are correlated to the success rate of free throws made by NBA players.

Σ𝑥𝑦
Formula:𝑟 =
√Σ𝑥 2 Σ𝑦 2

In this formula :

r denotes the correlation of the values being measured.

x denotes the difference between the individual values of height and the mean of all values of
height.

y denotes the difference between the average free throw success and the mean of the same.

TABLE 1: Calculation of Pearson’s Correlation Coefficient for Height.

number
AVG
HEIGHT of SUM x y xy 𝑥2 𝑦2
FTM
players

175.26 2 333 166.5 22.7105882 56.9406573 -1293.15582 515.7708164 3242.238454

119.66666
180.34 3 359
67 -17.6305882 10.10732397 -178.1980667 310.8376403 102.1579978

105.08333
182.88 12 1261
33 -15.0905882 -4.476009367 67.54561413 227.7258522 20.03465985

111.71428
185.42 14 1564
57 -12.5505882 2.154943014 -27.04580237 157.5172642 4.643779395

187.96 16 1517 94.8125 -10.0105882 -14.7468427 147.6245695 100.2118761 217.4693696

134.56666
190.5 30 4037
67 -7.4705882 25.00732397 -186.8194193 55.80968805 625.366252

91.655172
193.04 29 2658
41 -4.9305882 -17.90417029 88.27809074 24.3107 320.5593136

125.86956
195.58 23 2895
52 -2.3905882 16.31022252 -38.99102549 5.714911942 266.0233586

198.12 40 2677 66.925 0.1494118 -42.6343427 -6.370073885 0.022323886 1817.687177

100.05405
200.66 37 3702
41 2.6894118 -9.505288646 -25.56363545 7.23293583 90.35051224

100.21428
203.2 42 4209
57 5.2294118 -9.345056986 -48.86915127 27.34674777 87.33009007

9
 79.522388
205.74 67 5328
06 7.7694118 -30.03695464 -233.3694698 60.36375972 902.2186441

95.583333
208.28 36 3441
33 10.3094118 -13.97600937 -144.0844359 106.2839717 195.3288378

101.94871
210.82 39 3976
79 12.8494118 -7.610624751 -97.79205148 165.1073836 57.9216091

100.03571
213.36 28 2801
43 15.3894118 -9.523628414 -146.5630395 236.8339955 90.69949817

143.85714
215.9 7 1007
29 17.9294118 34.29780016 614.9393829 321.4638075 1176.339096

218.44 2 249 124.5 20.4694118 14.9406573 305.8264668 418.9968194 223.2232406

T
O
T
A 1862.5088
L 3365.5 26 -1202.607867 2741.550494 9439.59189

M
E
A 109.55934
N 197.9705882 27

Correlation between Free Throws Made

and Height
200
AVG FREE THROWS MADE

150
y = -0.4387x + 196.4
100
R² = 0.0559 AVG FTM
50 Linear (AVG FTM)

0
150 170 190 210 230
Height

Calculation of Pearson’s correlation coefficient in terms of height

Method 1: Manual Calculations via data measured in Microsoft Excel

Σ𝑥𝑦
𝑟=
√Σ𝑥 2 Σ𝑦 2
−1202.607867
=
√2741.550494 𝑋9439.59189

−1202.607867
=
√25879115.37

−1202.607867
= = -0.2364010097
5087.15199

10
 Method 2: Graphic Display Calculator

TABLE 2: CALCULATION OF PEARSON’S CORRELATION COEFFICIENT WITH

WEIGHT
Weight Avg. FTM NUMBE Sum (FTM) x y xy
Range R of 𝑥2 𝑦2
players

165.5 75 6 450 -60 -25.326496 1519.58976 3600 641.4313996

175.5 83.57894737 19 1588 -50 -16.74754863 837.3774316 2500 280.4803852

185.5 116.875 40 4675 -40 16.548504 -661.94016 1600 273.8529846

195.5 110.7674419 43 4763 -30 10.44094586 -313.2283758 900 109.0133505

205.5 96.37777778 45 4337 -20 -3.948718222 78.97436444 400 15.5923756

215.5 118.2857143 56 6624 -10 17.95921829 -179.5921829 100 322.5335214

225.5 72.02 50 3601 0 -28.306496 0 0 801.2577158

235.5 84.65517241 58 4910 10 -15.67132359 -156.7132359 100 245.5903829

245.5 92.32 50 4616 20 -8.006496 -160.12992 400 64.1039782

255.5 95.60606061 33 3155 30 -4.720435394 -141.6130618 900 22.28251031

265.5 124.1333333 15 1862 40 23.80683733 952.2734933 1600 566.7655038

275.5 123.625 8 989 50 23.298504 1164.9252 2500 542.8202886

285.5 111 4 444 60 10.673504 640.41024 3600 113.9236876

TOTAL 2931.5 1304.244448 3580.333553 18200 3999.648084

MEAN 225.5 100.326496

11
 Free Throws Made in Relation to
Weight
140
Average Free Thrrows Made

120 y = 0.1967x + 55.966

100 R² = 0.1761
80
60 Avg. FTM
40 Linear (Avg. FTM)
20
0
150 200 250 300
Height

Calculation of Pearsons correlation coefficient

Method 1: Manual Calculations through data measured in Microsoft Excel

Σ𝑥𝑦
𝑟=
√Σ𝑥 2 Σ𝑦 2

3580.333553
=
√18200𝑋 3999.648084
3580.333553
=
√72793595

3580.333553
=
8531.916264

= 0.4196400249

Method 2: Graphing Display Calculator

12
We see that the correlation between height and shooting ability is weakly negative in
correlation showing that height has a negative effect on the success rate of an NBA player as
it increases.

The correlation between weight and height is positively correlated showing that weight has a
positive effect on the success rate of an NBA player as it increases.

CHI SQUARED TEST

Chi-square is a statistical test commonly used to compare observed data with data we would
expect to obtain according to a specific hypothesis.

(|𝒇𝒐 − 𝒇𝒆 | − 𝟎. 𝟓)𝟐
𝝌𝟐 =
𝒇𝒆

fo = observed frequencies

fe = expected frequencies

Table: Observed Values for height

Height 175-190 190-205 205-220

Free Throws TOTAL

Made

0 – 1000 2 0 1 3

1000 - 2000 3 0 1 4

2000 - 3000 0 3 1 4

3000 - 4000 0 1 4 5

4000 - 5000 1 3 0 4

5000 – 6000 0 1 1 2

TOTAL 6 8 8 Grand
Total = 22
Degrees of freedom

𝑑𝑓 = (𝑟𝑜𝑤𝑠 − 1)(𝑐𝑜𝑙𝑢𝑚𝑛𝑠 − 1)

13
 𝑑𝑓 = (6 − 1)(3 − 1)

𝑑𝑓 = (5)(2)

𝑑𝑓 = 10

Null Hypothesis (H0): The shooting ability of NBA players is independent of their
height.

Alternative Hypothesis (H1): The shooting ability of NBA players is not independent of
their height.

Calculation of expected values

Height 175-190 190-205 205-220

Free Throws Made TOTAL

0 – 1000 (3)(6) (3)(8) (3)(8) 3

22 22 22
1000 - 2000 (4)(6) (4)(8) (4)(8) 4
22 22 22

2000 - 3000 (4)(6) (4)(8) (4)(8) 4

22 22 22

3000 - 4000 (5)(6) (5)(8) (5)(8) 5

22 22 22

4000 - 5000 (4)(6) (4)(8) (4)(8) 4

22 22 22

5000 – 6000 (2)(6) (2)(8) (2)(8) 2

22 22 22
TOTAL 6 8 8 Grand Total = 22

14
Expected Values

Height 175-190 190-205 205-220

Free Throws TOTAL

Made

0 – 1000 0.8181818182 1.090909091 1.090909091 3

1000 - 2000 1.090909091 1.454545455 1.454545455 4

2000 - 3000 1.090909091 1.454545455 1.454545455 4

3000 - 4000 1.363636364 1.81818181818 1.81818181818 5

4000 - 5000 1.090909091 1.454545455 1.454545455 4

5000 – 6000 0.5454545455 0.7272727273 0.7272727273 2

TOTAL 6 8 8 Grand Total

= 22

Commented [K7]: Incorrect mathematical process

Because Yate’s continuity correction is applicable only if
the degree of freedom is 1.
Criterion C↓

𝒇𝒐 𝒇𝒆 |𝒇𝒐 − 𝒇𝒆 | (|𝒇𝒐 − 𝒇𝒆 | (|𝒇𝒐 − 𝒇𝒆 | − 𝟎. 𝟓)𝟐

− 𝟎. 𝟓)𝟐 𝒇𝒆
2 0.818181818 1.181818182 0.464876033 0.568181818

0 1.090909091 -1.090909091 2.530991736 2.320075758

1 1.090909091 -0.090909091 0.349173554 0.320075758

3 1.090909091 1.909090909 1.98553719 1.820075757

0 1.454545455 -1.454545455 3.820247936 2.626420455

1 1.454545455 -0.454545455 0.911157026 0.626420455

0 1.090909091 -1.090909091 2.530991736 2.320075758

3 1.454545455 1.545454545 1.092975206 0.751420454

1 1.454545455 -0.454545455 0.911157026 0.626420455

0 1.363636364 -1.363636364 3.473140497 2.546969697

15
 1 1.818181818 -0.818181818 1.737603306 0.955681818

4 1.818181818 2.181818182 2.828512397 1.555681818

1 1.090909091 -0.090909091 0.349173554 0.320075758

3 1.454545455 1.545454545 1.092975206 0.751420454

0 1.454545455 -1.454545455 3.820247936 2.626420455

0 0.545454546 -0.545454546 1.092975207 2.003787879

1 0.727272727 0.272727273 0.051652893 0.071022727

1 0.727272727 0.272727273 0.051652893 0.071022727

TOTAL 22.88125

(|𝒇𝒐 − 𝒇𝒆 | − 𝟎. 𝟓)𝟐
𝝌𝟐 𝒄𝒂𝒍 =
𝒇𝒆

𝝌𝟐 𝒄𝒂𝒍 =22.88125

Levels of significance (for the case that degrees of freedom is 10)

1% = 23.21

5% = 18.31

10% = 15.99

Since the calculated Chi square value (𝜒 2 𝑐𝑎𝑙 = 22.88125) is more than the critical value at
1%, 5% and 10%, we will reject null hypothesis (𝑯𝑶 ), thus we can see that the shooting
ability of NBA players is dependent on their height. Commented [K8]: Poor understanding of Chi squared
test.
Criterion C↓

Table: Observed Values for weight

16
 WEIGHT 165 - 205 205 - 245 245 - 285

FREE Total
THROWS
MADE

0 - 1000 1 0 2 3

1000 - 2000 1 0 1 2

2000 - 3000 0 0 0 0

3000 - 4000 0 1 1 2

4000 - 5000 3 2 1 6

5000 - 6000 0 0 0 0

6000 - 7000 0 1 0 1

Total 5 4 5 Grand
Total= 14

Degrees of freedom

𝑑𝑓 = (𝑟𝑜𝑤𝑠 − 1)(𝑐𝑜𝑙𝑢𝑚𝑛𝑠 − 1)

𝑑𝑓 = (7 − 1)(3 − 1)

𝑑𝑓 = (6)(2)

𝑑𝑓 = 12

Null Hypothesis (H0): The shooting ability of NBA players is independent of their
weight.

Alternative Hypothesis (H1): The shooting ability of NBA players is not independent of
their weight.

17
CALCULATIONS FOR EXPECTED VALUES

WEIGHT 165 - 205 205 - 245 245 - 285

FREE Total
THROWS
MADE

0 - 1000 (3)(5) (3)(4) (3)(5) 3

14 14 14

1000 - 2000 (2)(5) (2)(4) (2)(5) 2

14 14 14
2000 - 3000 (0)(5) (0)(4) (0)(5) 0
14 14 14

3000 - 4000 (2)(5) (2)(4) (2)(5) 2

14 14 14

4000 - 5000 (6)(5) (6)(4) (6)(5) 6

14 14 14

5000 - 6000 (0)(5) (0)(4) (0)(5) 0

14 14 14

6000 - 7000 (1)(5) (1)(4) (1)(5) 1

14 14 14

Total 5 4 5 Grand
Total= 14
EXPECTED VALUES

WEIGHT 165 - 205 205 - 245 245 - 285

FREE Total
THROWS
MADE

0 - 1000 1.071428571 0.8571428571 1.071428571 3

1000 - 2000 0.7142857143 0.5714285714 0.7142857143 2

2000 - 3000 0 0 0 0

3000 - 4000 0.7142857143 0.5714285714 0.7142857143 2

4000 - 5000 2.142857143 1.714285714 2.142857143 6

5000 - 6000 0 0 0 0

18
 6000 - 7000 0.3571428571 0.2857142857 0.3571428571 1

Total 5 4 5 Grand
Total= 14

CALCULATION OF THE CHI SQUARED VALUE

𝒇𝒐 𝒇𝒆 |𝒇𝒐 − 𝒇𝒆 | (|𝒇𝒐 − 𝒇𝒆 | (|𝒇𝒐 − 𝒇𝒆 | − 𝟎. 𝟓)𝟐

− 𝟎. 𝟓)𝟐 𝒇𝒆
1 1.071428571 -0.071428571 0.326530612 0.304761904

0 0.857142857 -0.857142857 1.841836735 2.148809524

2 1.071428571 0.928571429 0.18367347 0.171428572

1 0.714285714 0.285714286 0.045918367 0.064285714

0 0.571428571 -0.571428571 1.147959184 2.008928571

1 0.714285714 0.285714286 0.045918367 0.064285714

0 0 0 0.25 0

0 0 0 0.25 0

0 0 0 0.25 0

0 0.714285714 -0.714285714 1.474489796 2.064285714

1 0.571428571 0.428571429 0.005102041 0.008928571

1 0.714285714 0.285714286 0.045918367 0.064285714

3 2.142857143 0.857142857 0.12755102 0.059523809

2 1.714285714 0.285714286 0.045918367 0.026785714

1 2.142857143 -1.142857143 2.698979592 1.25952381

0 0 0 0.25 0

0 0 0 0.25 0

0 0 0 0.25 0

0 0.357142857 -0.357142857 0.734693877 2.057142857

19
 1 0.285714286 0.714285714 0.045918367 0.160714286

0
0.357142857 -0.357142857 0.734693877 2.057142857
TOTAL 12.52083333

(|𝒇𝒐 − 𝒇𝒆 | − 𝟎. 𝟓)𝟐 Commented [K9]: Correct mathematical notations

𝝌𝟐 𝒄𝒂𝒍 = G↑
𝒇𝒆

𝝌𝟐 𝒄𝒂𝒍 =12.52083333

Levels of significance (for the case that degrees of freedom is 10)

1% = 26.22

10% = 18.55

50% = 11.340

Since the calculated Chi square value (𝜒 2 𝑐𝑎𝑙 = 12.52083333) is more than the critical value
at 50%, we will reject null hypothesis (𝑯𝑶 ), thus we can see that the shooting ability of NBA
players is partially dependent on their weight. Commented [K10]: Incorrect mathematical process
Because Yate’s continuity correction is applicable only if
the degree of freedom is 1.
Criterion C↓

DISCUSSION/ VALIDITY

Limitations

Throughout the investigation, there may have been limitations that could have had an effect
on the results.

One limitation is that the mean of the data measured had to be taken in order for the tests to
be carried out. The use of the mean may have hindered the results in a negative manner and
not allowed completely accurate results.

Another limitation could be that the ethnicities in the NBA have not been considered. There
may be certain races that may have genetic predispositions to sports and could act as
exceptions to the results which have not been considered in this investigation.

A third limitation of this investigation could be that there may be a lack of players in certain
height categories as there may not have been enough players in certain ranges of height
which may have prevented the results from being absolutely accurate. Due to the lack of

20
players in certain ranges of height, there is the possibility that the results may have been
adversely affected.

Another limitation could be that the factor that the data was collected from players only from
the NBA and not the rest of the world limits the results found to one category and cannot be
generalized to basketball players themselves.

The factor that the expected values in the measurement of the chi- squared test being less
than 5 reduces the validity of the investigation.

Lastly, there may have been several other factors that may have had an impact through
several other unaccounted factors on the results of the investigation. Commented [K11]: Criterion E↑

CONCLUSION

Despite the above stated limitations, the use of the Pearson’s Correlation Coefficient and the
Chi-Squared Test shows a definite correlation, positive in the case of weight and negative in
the case of height and hence we accept the original hypothesis of the investigation that the
success rate and free throw ability of an NBA player is dependent on his height and/or
weight. Commented [K12]: Student produces minimal
interpretations
Criterion D↓

Work Cited

"4. Critical Values Of Chi Square - CHI-SQUARED TEST_EVS." Google Sites. N.p., n.d.
Web. 15 Dec. 2016.

"Chi-Square Statistic: How to Calculate It / Distribution." Statistics How To. N.p., n.d. Web.
15 Dec. 2016.

Blythe, Peter. Mathematical studies. Oxford: Oxford U Press, 2012. Print.

@bball_ref. "Basketball Statistics and History | Basketball-Reference.com." Basketball-

Reference.com. N.p., n.d. Web. 15 Dec. 2016.

21
 Mathematics Studies SL Project

Candidate code: fzl737

Title: What is the Relationship Between the Free Throw Success Rate and
Height/Weight of Basketball Players in the NBA?

General comments

A Introduction: (2/3)
Student produces a clear title, a clear statement of task and a clear description of
plan.
B Information: (2/3)
Information contains secondary data. The Citation for secondary data is given in
the Bibliography.
C Mathematical process: (3/5)
Simple mathematical process has been carried out correctly.

D Interpretation of result: (1/3)

The project contains some interpretations and discussions.

E Validity: (1/1)
There is discussion of the validity on page no 20 and 21.
F Structure and communication: (1/3)
Some attempt has been made to structure the project.
G Notation and terminology: (1/2)
Inappropriate notation used on page no 5, 6, 7 and8.

Total 11 20

22