Question

Find the range and coefficient of range of the data; 50, 90, 120,40, 180, 200,80​

Answer 1

Step-by-step explanation:

Range= Highest - lowest

Range= 200-40 = 160

Coefficient  of range = L- s/L +S *100

(i.e) =160/240*100 = 66.67%

Answer 2

Given:

A data.

50, 90, 120, 40, 180, 200, 80.

To find:

The range and coefficient of range of the data.

Solution:

To answer this question, first of all, we should know that the range of a given data is equal to the difference between the highest value and the lowest value in the given data set.

So,

we have data

50, 90, 120, 40, 180, 200, 80.

Here,

the highest value = 200

and

the lowest value = 40.

So, the range is

= 200 - 40 = 160

Now,

The coefficient of the range of data is equal to the difference of the highest value and the lowest value divided by the sum of the highest value and the lowest value in the given data set.

So,

Coefficient of range of data

= difference of highest and lowest value/sum of highest and lowest value

= 200-40/200+40

= 160/240

=2/3 or 0.66

Hence, the range and coefficient of range of the given data are 160 and 2/3 respectively.