Practice30 Create account

Five observations are $x + 1, x + 4, x + 6, x + 13$ and $x + 16$ . If their mean is 21, what is their median?

Competition practiceStatistics

A19
B21
C13
D20

Step-by-Step Solution

Mean

= x + \frac{1 + 4 + 6 + 13 + 16}{5} = x + 8 = 21 \Rightarrow x = 13

. The middle value is

x + 6 = 19

. (13 is

x

itself.)

Answer: A) 19

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Statistics practice questions

More Statistics practice

The data 3, 5, 7, x, 9, 5, 7, 3 has 7 as its only mode. What is the mean of the data?The histogram shows how long 40 commuters take to reach an office in Gurugram. Using the…Find the median of the distribution: classes 20–30, 30–40, 40–50, 50–60, 60–70 with…In a scholarship test, Reasoning carries weight 3, Maths weight 4 and English weight 3.…The data 2, 4, 4, 5, 7, 7, 7, 9, x has a mean of 6 and its mode is 7. What is x?