Question

What is the range in the set of data below$35,39,25,57,62,46,53,41?$

Answer 1

Hint: The range is one of the commonly used measures of variability it usually tells how the given data spread from the lowest to the highest value in the distribution. It is the easiest measure of variability to find.
To find the range, we need to simply subtract the lowest values from the highest value in the given collection of data.
To calculate the range of a set, just follow these two steps listed below.
1) First, we need to arrange the given set of values either in ascending order or in descending order.
2) We need to find the difference between the highest value and the lowest values in the given set.
Formula to be used:
The formula to calculate the range of a set is $R = H - L$
Where, R denote the range of the given set,
$H$ is the highest value and
$L$ is the lowest valve.

Complete step-by-step solution:
In the given question, a set contains $35,39,25,57,62,46,53,41$.
Here, we have to arrange them in an order. So, we have $25,35,39,41,46,53,57,62$ from the arranged set, we get,
Highest value, $H = 62$
Lowest value, $L = 25$
So, by substituting these values in the above formula,
Range, $R = 62 - 25$
$ = 37$
Therefore, the range of the given data is 37.

Note: The measure of variability is a statistic that usually provides the information that how far apart the data points lie from each other and from the center of a distribution. We usually prefer the low variability because it allows us to predict information about the population based on the sample data. We don't have variability because these values are less consistent which makes it harder to make predictions. Generally, the measure of variability needs the range, the variance and the standard deviation.