Question

29. A computer club secretary records attendance every week for 34 weeks.The dot plot shown displays the data.Computer Club Weekly AttendanceMean: 9Median: 90 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16Number of StudentsIn the thirty-fifth and the thirty-sixth weeks, the numbers of studentsattending the club meeting are 8 and 15.Select a word or phrase for each box to complete the statementsshowing the effect of the thirty-fifth and the thirty-sixth weeks on themeasures of center and variability. For each box, fill in the bubble beforethe word or phrase that is correct.increasesThe value of the mean decreasesstays the sameThe value of the medianincreasesdecreasesstays the sameincreasesThe value of the range o decreasesstays the same

Answer 1

EXPLANATION

In this case, we have that the value of the mean increases because the number 15 produce a greater scattering.

Also, the value of the median can be computed as shown as follows:

$\text{Median}=\frac{n+1}{2}=\frac{36+1}{2}=\frac{37}{2}=18.5$

The 18.5 number is 9 so the median stays the same.

In the case of the range, it stays the same because the difference between the maximum and minimum value is the same.