The following data represents the number of tests conducted in a day by employees at Sharp Labs

Number of tests Frequency
[50: 60) 12
[60: 70) 20
[70: 80) 9
[80: 90) 6
[90: 100) 3

Calculate the average number of tests conducted by employees in the Labs (2)
Calculate the median (2)
Calculate the mode (2)
From 1.1, 1.2 and 1.3 above what will be your comment in relation to skewness? (1)
Calculate standard deviation (3)
Draw a histogram (2)


Part of a study to determine factors influencing family medical expenses involves finding a relationship between the number of people in a family (X) and the average monthly medical expenditure (Y). The data for a pilot sample of 10 families was summarised below:

Number of

people in family (X)

Average monthly

medical expenditure (Y)

3 850
2 750
3 800
5 1250
4 950
5 1000
6 1300
8 1650
2 690
7 1350

Assuming the relationship is linear find the least squares regression line for the data above.
Calculate the Pearson correlation coefficient for the data above (2)
Interpret the value of the correlation coefficient calculated above. (1)
Estimate the medical expense of a family with 5 members. (1)


The following table provides the prices (in Rand) and quantities (in kilograms) of brands of tea purchased weekly during the years 2018 and 2019.

  2021 2022
Price Quantity Price Quantity
Rooibos tea 12.00 30 15.00 25
Ceylon tea 5.60 7 4.99 8
Green tea 7.50 20 8.20 18
Total 25.10 57 28.19 51

Using 2021 as a base year, calculate and interpret the simple price index for Rooibos tea. (1)
Using 2021 as a base year, calculate and interpret the simple quantity index for Green tea. (1)
Using 2021 as a base year, calculate and interpret the Laspeyres Price Index. (3)

Get Completed Answers on Above Questions on Statistics

Answer 1: The calculation of average number of tests conducted by empployees in the labs is performed as follows:


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