Question

If 35 is removed from the data, 30, 34, 35, 36, 37, 38, 39, 40 then the median increases by ______.

Options

• 2

• 1.5

• 1

• 0.5

Answer 1

If 35 is removed from the data, 30, 34, 35, 36, 37, 38, 39, 40 then the median increases by 0.5.

Explanation:-

We have

30, 34, 35, 36, 37, 38, 39, 40

The data has 8 observations, so there are two middle terms, 4^th and 5^th term i.e. 36 and 37.

The median is the mean of both these terms.

Median = `(36 + 37)/2`

Median = 36.5

When 35 is removed from given data as 30, 35, 36, 37, 38, 39, 40 then the number of observations becomes 7.

Now the median is the middlemost i.e 4^th term which is equal to 37.

Therefore median is increased by 37 - 36.5 = 0.5