Question

Find the range of the data 14, 16, 20, 12, 13, 4, 5, 7, 29, 32 and 6.
A.4
B.12
C.28
D.32

Answer 1

Hint: As we know, range of any given data is the difference between the maximum and minimum value of the data. So in this question, we will first sort the data in ascending or descending order for the sake of simplicity. Then, we can easily get the minimum value of the data and maximum value of the data. After that, we will find the difference of the maximum and minimum values to obtain the range of the given data

Complete step-by-step answer:
The data given in the question is 14, 16, 20, 12, 13, 4, 5, 7, 29, 32 and 6.

Now, we will sort the data in ascending order.
The data will be written as:
\[4 < 5 < 6 < 7 < 12 < 13 < 14 < 16 < 20 < 29 < 32\]
Now, we can find the range by finding the minimum value and maximum value.
Minimum value in the data = 4
Maximum value in the data = 32
So, to calculate range we have:
Range = maximum value – minimum value
Range $ = 32 - 4 = 28$
Therefore, the range is 28.
Hence, option C is correct.

Note: As we know, attention is needed to do these types of questions because we have to take values in calculation and we cannot make mistakes in the values. To calculate the range in any question, we should first sort the data in ascending or descending order to avoid mistakes. Also, we can find the range directly.