Question

The range of 8, 17, 28, 16, 30, 28, 15, 5, 19 and 35 is ______
A.20
B.18
C.30
D.16

Answer 1

Hint: Range is the total difference between the upper and lower limit of a given data set. To find the range, we will first arrange the given numbers in ascending order, then will find the largest number which will be on right extreme and lowest number which will be on left extreme. After this we can easily subtract the two numbers to get the range of the data.

Complete step-by-step answer:
The given numbers are 8, 17, 28, 16, 30, 28, 15, 5, 19 and 35. We will arrange these numbers in ascending order as 5, 8, 15, 16, 17, 19, 28, 28, 30 and 35.
Now, when we observe the left extreme, the number is 5, which is the lowest number in the data. And when we observe the right extreme we find 35, which is the largest number of the data set.
As we have the upper and lower limit of the data as 35 and 5, we can find out the difference between them and get the range as \[35 - 5 = 30\]. So, the range of the data will be 30.
Hence, option (C) is the correct option.

Note: Value of the range determines the difference between the extreme numbers of a data. A higher range indicates a higher number of different values in the data. But this is not always true, especially if there is an outlier in the data. Outlier is an extremely high or extremely low value in a data compared to the rest of the data.