Question

The table below shows data from a survey about the amount of time students spend doing homework each week. The students were either in college or in high school:

High Low Q1 Q3 IQR Median Mean σ
College 50 5 7.5 15 7.5 11 13.8 6.4
HS 16 0 9.5 14.5 5 13 . 10.7 5.3
Which of the choices below best describes how to measure the spread of this data? (Hint: Use the minimum and maximum values to check for outliers.) (2 points) A:Both spreads are best described with the IQR.
B:Both spreads are best described with the standard deviation.
C:The college spread is best described by the IQR. The high school spread is best described by the standard deviation.
D:The college spread is best described by the standard deviation. The high school spread is best described by the IQR.

Answer 1

Option A is correct

Explanation:

Given is a table which shows data from a survey about the amount of time students spend doing homework each week.

College HS

High 50 16

Low 5 0

Q1 7.5 9.5

Q3 15 14.5

IQR 7.5 5

Median 11 13

Mean 13.8 10.7

Std dev 6.4 5.3

1.5IQR 11.25 7.5

Q1-1.5IQR -9.38 -12

Q3+1.5IQR 37.5 29.5

WE find that there is only one outlier in college with 50 as high.

Except that all others are well within IQR range. Hence outliers are minimum

So option A is right.