CROSS NIGHT
21 JUNE 2025
PAPER 2 PREPARATION
6 TO 6
STATISTICS [20]
1 MEASURES OF CENTRAL TENDENCY AND SPREAD
Five Number Summary and Box and Ogive
Whisker Plot
▪ Minimum ▪ Cumulative Frequency curve.
▪ Lower Quartile , i.e. Q1 ▪ Used to estimate quartiles in
▪ Median, i.e. Q2 grouped data.
▪ Ground.
▪ Upper Quartile, i.e. Q3 ▪ Smooth curve – No Ruler
▪ Maximum ▪ Use upper limit of interval.
▪ Range = Max – Min ▪ To Calculate positions of the
▪ Interquartile Range(IQR) = Q 3 − Q 1 quartiles:
1
✓ Q = (n + 1)
1
4
1
✓ Q = (n + 1)
2
2
3
✓ Q = (n + 1)
3
4
2 MEAN AND STANDARD DEVIATION
sumofvalues
▪ Mean =
numberofvalues
▪ For grouped data, use midpoint of each interval and then Calculator with
Frequency mode ON( Mode setup, Stat).
▪ Standard Deviation
✓ A measure of spread about the mean.
✓ Calculator: Stat Mode : Var
✓ Variance : 2
✓ Data within n standard deviation of the mean : (x n )
3 REGRESSION LINE
▪ Least-squares regression line: yˆ = a + bx
▪ Correlation Coefficient (r) : Indicates strength of relationship between variables.
4 CALCULATOR SKILLS
1. Mean
E.g. 4; 7; 1; 9; 4; 8; 11; 10; 19; 2; 5; 7; 19; 3
CASIO SHARP
[MODE] [2: STAT] [1: 1 – VAR] [MODE] [1: STAT] [0: SD] [2ndF] [CA]
4 [=] 7 [=] 1 [=] 9 [=] 4 [=] 8 [=] 11 [=] 4 [DATA] 7 [DATA] 1 [DATA] 9 [DATA] 4
10 [=] 19 [=] 2 [=] 5 [=] 7 [=] 19 [=] 3 [=] [DATA] 8 [DATA] 11 [DATA] 10 [DATA]
[AC] 19 [DATA] 2 [DATA] 5 [DATA] 7 [DATA]
[SHIFT] [1: STAT] [4: VAR] 19 [DATA] 3 [DATA]
[2: 𝑥̅] [=] [ALPHA] [=] [𝑥̅]
Copyright reserved 1
QUESTION 2
Maths Literacy teachers are always complaining about their learners’ language
and reading skills.
Below we have the June results for some matric learners in English and Mathematical Literacy.
MATHS LIT 25 38 40 46 47 12 49 49 54 55 59 64
ENGLISH 34 53 62 40 44 20 50 55 61 63 54 59
2.1 Use the grid provided on DIAGRAM SHEET 1 to draw a scatter plot for the data. (3)
2.2 Using the least squares method, show by calculation(Calculator) that the relationship (4)
between the English and Math Literacy results is given by y = 17,32 + 0,72x .
2.3 Draw the least squares line for the data on the scatter plot diagram drawn in (2)
QUESTION 1.2 (DIAGRAM SHEET 1).
2.4 Estimate the Math Literacy results for a learner who gets 58% for English. (2)
2.5 Estimate the English results for a learner who gets 69% for Math Literacy. (2)
2.6 Determine the correlation between the English and Math Literacy results. (2)
2.7 Use the correlation coefficient to comment on the relationship between the English (2)
and Math Literacy results.
2.8 Determine the standard deviation of the Math Literacy results. (2)
[19]
QUESTION 3
The data in the table below represents the marks obtained by 10 Grade 12
learners for English Home Language (HL) and Afrikaans First Additional
Language (FAL).
English HL 42 54 85 32 63 71 92 62 58 66
Afrikaans FAL 50 58 80 45 60 65 98 75 71 58
3.1 Draw a scatter plot of the data above by making use of the grid provided in the SPECIAL
ANSWER BOOK. (4)
3.2 Calculate the equation of the least squares regression line for this data. (3)
3.3 Calculate the correlation coefficient. (2)
3.4 Describe the correlation between English Home Language and Afrikaans First
Additional Language. (1)
3.5 Predict the final English Home Language mark for the learner who obtained 74 marks in Afrikaans
First Additional Language. (2)
