Question

Find the median of 3,8,5, 7,6,9, 10, if 9 is replaced by 4, what will be the new median​

Answer 1

Answer:

(i) 7, (ii) 6

Step-by-step explanation:

Before we find the median,

(i) We first arrange the observations in ascending order

so,

3, 5, 6, 7, 8, 9, 10

= 3, 5, 6 --7--8, 9, 10

So, 7 is the median as it is the central value of the observations when arranged in ascending order

(ii) Now, 9 is replaced by 4

so, the new set of observations -->

3, 5, 6, 7, 8, 4, 10

Arranging in ascending order, we get:

3, 4, 5, 6, 7, 8, 10

3, 4, 5 --6-- 7, 8, 10

So, in this case, 6 is the median as it is the central value of the observations when arranged in ascending order