Ungrouped Descriptive Statistics
To gain some insights into the typical price consumers are willing to pay for a stand mixer, a retailer of kitchen
appliances randomly selected 200 relevant invoices for transactions completed in October 2022. Descriptive
statistics, computed to summarise the data, are presented in Table 1 below.
Table 1.
Expenditure (£) on Stand Mixers
Mean
Median 224.00
Mode 220.00
Standard Deviation
Sample Variance 5041.00
Range
Minimum 68.00
Maximum 369.00
Sum 46400.00
Count
Lower Quartile
Upper Quartile 336.00
Inter-quartile range (IQR) 241.00
Coefficient of Variation
Required for Task 1 (50 words Max)
With reference to Table 1, copy and fill in the table. Note: you must use a calculator and show all your workings
for this task.
a. State the value of the count and use it to calculate the mean [1+2 =3marks]
b. Calculate the range [1mark]
c. Calculate the Lower quartile [2marks]
d. Calculate the standard deviation of the sample [2marks]
e. Calculate the coefficient of variation, giving your answer as a percentage (%) to the nearest whole number. [2marks]
f. Interpret the Standard deviation in the context of the scenario provided. [2marks]
g. Interpret the Interquartile range in the context of the scenario provided. [2marks]
h. Interpret the coefficient of variation [2marks]
(NB: You should not describe calculation meth
