Question

The given data set contains the price of sneakers at various stores. What will be the new median if a new price of 58 dollars is added to the set?

• A. 49.5
• B. 51.5
• C. 54
• D. 49

Answer 1

The correct option is B 51.5

The given data set is


Arranging the data in ascending order, we get

28, 35, 48, 49, 54, 62, 71

A new price of 58 is added to the set.

Hence, the new data set is


Arranging the data set, we get

28, 35, 48, 49, 54, 58, 62, 71

This data set contains an even number of data.

For a set with an even number of values, the median is the mean of the two middle values.

Median of the data = $\frac{49+54}{2}$

= $\frac{103}{2}$ = 51. 5

Hence, the new median is 51.5