Question

The double dot plot represents the number of books sold by two shops in 7 days.

Using the data, choose the correct statement from the following:

• A. The difference in number of books sold by shop A and shop B is significantly higher.
• B. Both the shops sold equal number of books
• C. The difference in number of books sold by shop A and shop B is not much.
• D. IQR of shop 1 is not equal to IQR of shop 2

Answer 1

The correct option is C The difference in number of books sold by shop A and shop B is not much.

For Shop 1:

Median = 18
Median of lower half (Q1) = 16
Median of upper half(Q3) = 20
IQR = Q3-Q1
= 20-16
= 4

For shop 2:

Median = 20
Median of lower half (Q1) = 18
Median of upper half(Q3) = 22
IQR = Q3-Q1
= 22-18
= 4
Here,
IQR(beach A) = IQR(beach B)

When two data distributions have similar variabilities, we can compare them by writing the difference in the measures of center as a multiple of the measure of variability.
So,
Difference in median = 20 - 18 = 2
IQR = 4
Ratio of difference in the median to IQR for the given data = 0.5

Since, 0.55 < 2 the difference in number of books sold by shop A and shop B is not much.