Question

The average monthly temperatures (in Celsius) for Winnipeg between April and October are shown below:

            April    May     June     July     August     September   October

            10        18        ???       25         26               20              11

If the median average monthly temperature for this period is 20 degree Celsius then the average temperature for June:

Select one:

a. must be 20.

b. can be any value.

c. must be less than 11 or greater than 26.

d.
must be between 10 and 20.

e.
must be 20 or more

Answer 1

The average monthly temperatures (in Celsius) for Winnipeg between April and October are given. If the median average monthly temperature for this period is 20 degree Celsius, then we have to find the average temperature for June.

The given temperatures are : 10, 18, 25, 26, 20, 11.

Given median is 20. We know, Median is the middle most value of any data set. Thus, including June's temperature, we have 7 values. Thus, the median is {(n+1)/2}th term. Here, n= 7. Thus, median is the {(7+1)/2}th term = 4th term. So, first let us arrange the given numbers in ascending order. After arranging the six numbers, we have : 10, 11, 18, 20, 25, 26. -----(1)

So, by estimating we can say that the say that the remaining value must be 20 or more than 20. As we know that the median is the 4th term and our given median is 20. Thus, in (1), we can see that the 4th term is 20. So, the remaining term must be 20 or more than 20.

Thus, if the median average monthly temperature for this period is 20 degree Celsius then the average temperature for June must be 20 or more than 20.

Thus, the correct option is (e).