You are the manager of a small express shop

You are the manager of a small express shop. You wish to determine whether or not you are making adequate sales of a particular type of chocolate. You think that if the average exceeds 20 chocolates in sales for the past 16 days, you will continue stocking it.

The number of sales per day are as follows: 25 18 28 19 22 33 14 54 31 22 43 22 35 17 46 14

2.1 What is the range of the number of chocolates sold? (1)

2.2 Group the data into a grouped frequency table. Ensure that you use 6 classes of equal width. (5)

2.3 What is meant by the terms “mutually exclusive” and “exhaustive”? Use the table to illustrate your answer. (3)

2.4 Using the raw data, calculate the:

2.4.1 mean (3)

2.4.2 median (2)

2.4.3 mode (1)

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?