What is the average of all of the integers from 17 to 55? enter a numerical value only?
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The average of a set of data is the sum of all values of that data divided by the number of values.
Between 17-55, there are:
(55 - 17) + 1 = 38 + 1 = 39 data points
The sum of all integers in this range is the sum of the first and last, multiplied by the number of data points (39) and divided by 2:
So we have:
(55 + 17) * 39 / 2
Then that gets divided by 39 since there are 39 data points, so:
((55 + 17) * 39 / 2) / 39
The 39's cancel out leaving:
(55 + 17) / 2
And now we simplify what's left:
72 / 2
36
Between 17-55, there are:
(55 - 17) + 1 = 38 + 1 = 39 data points
The sum of all integers in this range is the sum of the first and last, multiplied by the number of data points (39) and divided by 2:
So we have:
(55 + 17) * 39 / 2
Then that gets divided by 39 since there are 39 data points, so:
((55 + 17) * 39 / 2) / 39
The 39's cancel out leaving:
(55 + 17) / 2
And now we simplify what's left:
72 / 2
36
Answered by
1
Step-by-step explanation:
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