Question

Find the range and coefficient of range of
the following data:
45, 42, 39, 40, 48, 41, 45, 44​

Answer 1

Answer:

45 coefficent= x raise to power 0

Explanation:

Range = Highest frequency

45 has highest frequency

Answer 2

Range- 9

Co-efficient of range- 0.103

Range:

The range is defined as largest value minus smallest value.

The formula is,

Range = largest value-smallest value

Arrange the data in ascending order,

39, 40, 41, 42, 44, 45, 45, 48

Largest value = 48

Smallest value = 39

Range = 48-39

Range = 9

Co-efficient of Range:

It is a relative measure of range.

The formula is,

Co-efficient of range = $\frac{L-S}{L+S}$

                                   = $\frac{48-39}{48+39}$

                                   = $\frac{9}{87}$

Co-efficient of range= 0.103