BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

If a set of numbers consists of \(10, 15, 0, 3,\) and \(x,\) and the range of the set is \(30,\) what are the possible

Expert replies
by Gmat_mission » Thu Sep 10, 2020 12:50 am

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty

If a set of numbers consists of \(10, 15, 0, 3,\) and \(x,\) and the range of the set is \(30,\) what are the possible values for the median of the set?

A. -15 and 30
B. 15 and 10
C. 0 and 3
D. 3 and 15
E. 3 and 10

Answer: E

Source: Princeton Review
Join the discussion
Source: — Problem Solving |

The range is the difference b/w smallest and the largest values of the set.

To make the range 30, x could take only 2 values
-45 or 30

The median is the middlemost value of the set when the numbers are arranged in ascending (or descending) order. Arranging the constants in ascending order,

We get 0,3,10,15

now if x is -45, the median is 3
and if x is +30, the median is 10

so median could be any of 3 and 10

Correct answer is E
Join the discussion

The range is the difference b/w smallest and the largest values of the set.

To make the range 30, x could take only 2 values
-45 or 30

The median is the middlemost value of the set when the numbers are arranged in ascending (or descending) order. Arranging the constants in ascending order,

We get 0,3,10,15

now if x is -45, the median is 3
and if x is +30, the median is 10

so median could be any of 3 and 10

Correct answer is E
Join the discussion