Question

The number of pages read by Angel on 5 days is given.

If each value of the data is increased by 5, then the median will

• A. increase
• B. decrease
• C. remain same

Answer 1

The correct option is A increase

The given data set is

60, 66, 74, 48, 52

Arranging the number in ascending order, we get:
48, 52, 60, 66, 74

For a set with an odd number of values, the median is the middle value of the data set when it is arranged in an ascending or descending order.

$\therefore$ Median = 60

When each value in the data set is increased by 5. we get

60+5, 66+5, 74+5, 48+5, 52+5

65, 71, 79, 53, 57

Arranging the numbers in ascending order, we get

53, 57, 65, 71, 79

The new median is 65.

Hence, the median increases.