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
High School 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)



Both spreads are best described with the IQR.
Both spreads are best described with the standard deviation.
The college spread is best described by the IQR. The high school spread is best described by the standard deviation.
The college spread is best described by the standard deviation. The high school spread is best described by the IQR.

Male and female high school students reported how many hours they worked each week in summer jobs. The data is represented in the following box plots:

two box plots shown. The top one is labeled Males. Minimum at 0, Q1 at 1, median at 20, Q3 at 25, maximum at 50. The bottom box
Identify any values of data that might affect the statistical measures of spread and center. (2 points)


The females worked less than the males, and the female median is close to Q1.
There is a high data value that causes the data set to be asymmetrical for the males.
There are significant outliers at the high ends of both the males and the females.
Both graphs have the required quartiles.

The box plots below show the average daily temperatures in July and August for a U.S. city:

two box plots shown. The top one is labeled July. Minimum at 80, Q1 at 88, median at 96, Q3 at 103, maximum at 105. The bottom
What can you tell about the means for these two months? (1 point)



The August high is above the July median. This makes it hard to know about the means.
Both months have the same low temperature. This makes it hard to know about the means.
It is unlikely, but possible that the July mean could be higher.
There is no way to tell what the means are.
The box plots below show attendance at a local movie theater and high school basketball games:

two box plots shown. The top one is labeled Movies. Minimum at 100, Q1 at 130, median at 165, Q3 at 185, maximum at 200. The bo
Which of the following best describes how to measure the spread of the data? (1 point)



The IQR is a better measure of spread for movies than it is for basketball games.
The standard deviation is a better measure of spread for movies than it is for basketball games.
The IQR is the best measurement of spread for games and movies.
The standard deviation is the best measurement of spread for games and movies.
The table below shows data for a class's mid-term and final exams:

Mid-Term Final
100 98
100 95
100 93
95 91
95 88
92 82
92 78
88 78
85 65
75 60

Which data set has the largest IQR? (1 point)



Mid-term exams
Final exams
They have the same IQR
There is not enough information

Answer 1

Since there is wide range between the maximum and minimum value for the college data and the opposite for the high school data,The college spread is best described by the IQR. The high school spread is best described by the standard deviation.

The data for males are high and assymetrical:There is a high data value that causes the data set to be asymmetrical for the males.
The IQR is the best measurement of spread for games and movies.

Mid-term exams have the larger IQR.