Question

the median of 2,8,6,10,4,12

Answer 1

$\huge\underline{\underline{\red{\mathtt{Solution:}}}}$

First, arrange the series in ascending order:-

2,8,6,10,4,12

=> 2,4,6,8,10,12

• Median means the middle number and there are 2 cases if the total number present are even in counting then we will take 2 middle numbers and take out its average and second if the numbers in counting are odd then the middle one will be the median.

• In this question the numbers in counting are even so we will take the average of 2 middle numbers..

According to question:-

6+8/2

=> 14/2

=> 7

Answer 2

Answer:

The median of the given data 2, 8, 6, 10, 4, 12 is 8.

Step-by-step explanation:

Given,

The data,  2, 8, 6, 10, 4, 12

To find,

The median of the data is 2, 8, 6, 10, 4, and 12.

Concept,

If a number of observations in the given data is even (n) then the median of the data is the average of n/2th, and (n/2) + 1th observation present in the data.

If number of observations in the given data is odd (n) then the median of the data is (n + 1)/2th observation present in the data.

Calculation,

First lets calculate the number of observations present in the data 2, 8, 6, 10, 4, 12.

i.e. n = 6

As 6 is an even number, the median is given by:
$M = \frac{\frac{n}{2}th + \frac{n}{2}+1th }{2}$

⇒ M = (3th + 4th)/2 terms.

Hence, the 4th, and 5th terms are 6 and 10 respectively

⇒ M = (6 + 10)/2

⇒ M = 8

Therefore, the median of the given data 2, 8, 6, 10, 4, 12 is 8.

#SPJ3