Concept explainers
Over six months, a family’s electric bills averaged $55 per month, the bills for the first five months were $57.60, $60, $53.25, $50.75, and $54.05. What was the electric bill in the sixth month? Find the median, mode, and range of the six electric bills.
Find the electric bill in the sixth month. Find the median, mode , and range of the sex electric bills.
Answer to Problem 28P
Electric bill of sixth month = $54.35
Median = 54.2
Mode = no mode
Range = 9.25
Explanation of Solution
Given:
Over six months , a family’s electric bills averaged $55 per month. The bills for the first five months were $57.60 , $60, $53.25 , $50.75 , $54.05.
Calculation:
Let the electric bill of sixth month = x
Then total number of entries = 6
Mean =
So, the electric bill in sixth month = $54.35
Arrange the given data in ascending order :
50.75 , 53.25 , 54.05 , 54.35 , 57.60 , 60
Median = The
Mode = The entry that appeares maximum number of times = since all the data values occur only once , so , there is no mode.
Range is the difference of the highest and lowest value of the data =60-50.75=9.25
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