Question

the median of the given series of observation 46,33,34,38,40,52,56,58​

Answer 1

median of the following is 40

Step-by-step explanation:

no.of .increasing order are: 33,34,38,40,46,52,56,58

median =

$( \frac{n}{2} )$

so

$\frac{8}{2} \: \: \: \: = 4$

4 th value is 40

so median is 40

Answer 2

Given:

A set of numbers 46, 33, 34, 38, 40, 52, 56, and 58.

To Find:

The median of the given set of numbers is?

Solution:

1. The given set of numbers are 46, 33, 34, 38, 40, 52, 56, and 58.

2. To Find the median of the given set of numbers,

=> Arrange the set of numbers in either ascending or descending order.

=> If the total number of terms is odd, the median is the middlemost term of the set of numbers after rearranging in either ascending or descending order.

=> If the total number of terms is even, the median is the average of the two middlemost terms of the set of numbers after rearranging in either ascending or descending order.

3. Arrange the given set of numbers in ascending order,

=> 33, 34, 38, 40, 46, 52, 56, 58

=> The number of terms is even, ( 8 terms ).

=> Median = (4th term + 5th term)/2,

=> Median = (40 + 46)/2,

=> Median = 43.

Therefore, the median of the given data is 43.