Question

Eight people were asked, "How many times have you been on an airplane?" Their responses are listed below. 7,3 , 3, 7,1 ,3 ,9 , 3 Find the range and the mode for the data.

Answer 1

Range = 8

Mode = 3

Explanation:

Given:

The responses of eight people are given as:

7, 3, 3, 7, 1, 3, 9, 3

Let us arrange this ascending order. This gives,

1, 3, 3, 3, 3, 7, 7, 9

Range of set of data is defined as the difference of the highest and lowest value of the data.

The highest value of the given data is 9. The lowest value of the given data is 1. So,

Range = Highest value - Lowest value

Range = 9 - 1 = 8

Therefore, the range for the above set of data is 8.

Now, mode for a given set of data is defined as that element of the data that has repeated most number of times.

For the data given below,

1, 3, 3, 3, 3, 7, 7, 9

Here, '7' is repeated two times and '3' is repeated four times.

So, '3' is the element that has been repeated maximum number of times.

Therefore, the mode of the above data is 3.