Question

The observations 56, 58, 63 x-5 x+1 75 81, 85 have been

arranged in ascending onder of the medias' of the data is 64,
find the value of x​

Answer 1

The value of x is 66.

Explanation:

The median of a data set is the term that separates the lower half of the set from the upper half.

In a set with even cardinality, the median is given by the mean of it's two middle terms.

In this question:

Cardinality: 8

Middle terms: 4th and 5th, which are x - 5 and x + 1.

The median is 64.

This means that:

`(x - 5 + x + 1)/(2) = 64`

`2x - 4 = 128`

`2x = 132`

`x = (132)/(2)`

`x = 66`

The value of x is 66.