Question

The double dot plot represents the number of cakes sold by two confectioneries in 11 days.Using the data, choose the correct statement from the following:

• A. IQR of confectionery 1 is 0
• B. Medians of confectionery 1 and confectionery 2 are equal
• C. Difference in medians of confectionery 1 and confectionery 2 is 8.
• D. IQR of confectionery 1 and confectionery 2 are not equal

Answer 1

The correct option is B Medians of confectionery 1 and confectionery 2 are equal

For confectionery 1:

Median = 20
Median of lower half (Q1) = 16
Median of upper half(Q3) = 24
IQR = Q3-Q1
= 24-16 = 8

For confectionery 2:

Median = 20
Median of lower half (Q1) = 16
Median of upper half(Q3) = 24
IQR = Q3-Q1
= 24-16= 8

Here,
IQR of confectionery 1 = IQR of confectionery 2

Medians of confectionery 1 and confectionery 2 are equal
$\therefore$ Difference in median = 20 - 20
= 0