3.
Grams per Food Serving The data shown are the number of grams per serving of
30 selected brands of cakes.
32 47 51 41 46 30 46 38 34 34 52 48 48 38 43 41 21 24 25 29 33 45 51 32
32 27 23 23 34 35
a) identify the variable of interest ?
Grams per Food Serving
b) identify sample & population of this experiment ?
c) identify whether the variable is: qualitative or quantitative; discrete or
continuous?
Quantitative and continuous
d) identify the level of measurement scale
Ratio Scale
e) construct the frequency distribution?
class Class boundary frequency
21-26 21.5-26.5 5
27-32 26.5-32.5 6
33-38 32.5-38.5 7
39-44 38.5-44,5 3
45-50 44.5-50.5 6
51-56 50.5-56.5 3
f) Choose appropriate graph to present this data
g) Average; median
Reorder the numbers in ascending order.
21,23,23,24,25,27,29,30,32,32,32,33,34,34,34,35,38,38,41,41,43,45,46,46,47,48,48,5
1,51,52
The mean of a set of numbers is the sum divided by the number of terms.
36.8
h) Sample standard deviation.
The sample standard deviation measures the spread of a data distribution of
the sample. It is usually used to estimate the population standard deviation
9.4
i) Minimum and maximum.
Min= 21 max=52
j) Range.
Subtract the minimum data value from the maximum data value to find the data range.
In this case, the data range is 52−21=3152-21=31.
31
k) Median.
Reorder the numbers in ascending order.
21,23,23,24,25,27,29,30,32,32,32,33,34,34,34,35,38,38,41,41,43,45,46,46,47,48,48,5
1,51,52
the median is the middle value the median will be the average of the two middle
numbers.
34.5
l) Quartiles: first, second, and third.
Qk=
Q1 = 29
Q2 = 34.5
Q3 = 46
m) IQR.
IQR= Q3-Q1=17
n) Which is a better measure of the center of these energy rates, the average or
the median? Why? What interval of energy rates includes most typical values,
as represented by the energy rates in this sample?
