Questions: Find the range of this data set: 41, 45, 52, 42, 40, 44, 53, 56

Transcript text: Find the range of this data set: $41,45,52,42,40,44,53,56$

Solution

Solution Steps

To find the range of a data set, we need to identify the maximum and minimum values in the set and then subtract the minimum value from the maximum value. This will give us the range, which represents the spread of the data.

Step 1: Identify the Maximum and Minimum Values

To find the range of the data set, we first need to identify the maximum and minimum values. Given the data set $[41, 45, 52, 42, 40, 44, 53, 56]$, the maximum value is $56$ and the minimum value is $40$.

Step 2: Calculate the Range

The range of a data set is calculated by subtracting the minimum value from the maximum value. Therefore, the range is:

\[ \text{Range} = 56 - 40 = 16 \]