Question

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

Answer 1

Answer:

The value of x is 66.

Step-by-step 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:

$\frac{x - 5 + x + 1}{2} = 64$

$2x - 4 = 128$

$2x = 132$

$x = \frac{132}{2}$

$x = 66$

The value of x is 66.