Question

2.2

Classes	Frequency	Cumulative Frequency	Cumulative Percentage
10-18	3	3	18.75
18-26	6	9	56.25
26-34	3	11	75
34-42	2	13	87.5
42-50	1	14	93.75
50-58	1	15	100
Total	16

Mean = Σxp/n = 443/16=27.6875=28

Median = n+1/2 =after arranging numbers in ascending order

14,14,17,18,19,22,22,22,25,28,31,33, 35,43,46,54

Median=22+25/2=47/2= 23,5=24

Mode = 22 (most frequently occurring number)

2.5 What scale of measurement are the chocolates in this example, and are they continuous or discrete? Justify your answer. (2)

2.6 In this scenario, what measure of central tendency would be most suitable to the data, and why? (2)

2.7 Would you continue keeping the chocolates in stock?

Answer 1

2.5

The scale is ratio as the data is giving us order, interval values, plus the ability to calculate ratios since a “true zero” can be defined.

Data is discrete as it can only take certain values.

2.6

Q1 = 18.25

Q3 = 34.5

IQR = Q3-Q1

= 16.25

L1 = Q1-1.5*IQR

= -6.125

L2 = Q3+1.5*IQR

= 58.875

As we can see that no value of the data lies outside [L1, L2] thus there are no outliers and hence mean can be used as the measure of central tendency.

2.7

Since mean > 20, we will continue stocking it.

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