Answer:
124
Explanation:
To find the number that should be added to the data so that the range of the data is 63, we first need to find the current range of the data.
The range of a set of data is the difference between the largest and smallest values in the set.
So, to find the current range of the data, we need to subtract the smallest value from the largest value:
Range = largest value - smallest value
Range = 97 - 61
Range = 36
This means that the current range of the data is 36.
To increase the range to 63, we need to add a number that is 63 - 36 = 27 larger than the current range.
To do this, we can add 27 to the largest value in the data set, which is 97:
97 + 27 = 124
So, we should add 27 to the data set to increase the range to 63.
Therefore, the complete set of data would be:
78, 61, 95, 77, 85, 97, 124
Check:
To find the range of the data set 78, 61, 95, 77, 85, 97, 124, we need to subtract the smallest value from the largest value:
Range = largest value - smallest value
Range = 124 - 61
Range = 63
Therefore, the range of the data set 78, 61, 95, 77, 85, 97, 124 is 63.