Question

What number should be included in the following data so that the median is 5.2? 4,7,11,5,3​

Answer 1

Answer:

5.4

Explanation:

To find the median, we need to arrange the numbers in numerical order.

Hence, here we have 3, 4, 5, 7, 11.

Given that the question says we should look for numbers that would be included in the following data so that the median is 5.2. Hence, we need to add the number to the set.

Therefore the total number of the set will be 6 making it an even number. Hence we have to add the two numbers in the middle and divide them by 2.

Since the median is 5.2, hence we multiply it by 2 = 10.4

Therefore, we less 5 from 10.4, we have 5.4

To check we now have a set of numbers 3, 4, 5, 5.4, 7, 11

Where 5 + 5.4 = 10.4, then divided by 2 = 5.2 as median.