The box plots below show student grades on the most recent exam compared to overall grades in the class:
two box plots shown. The top one is labeled Class. Minimum at 74, Q1 at 78, median at 85, Q3 at 93, maximum at 98. The bottom box plot is labeled Exam. Minimum at 81, Q1 at 85, median at 93, Q3 at 96, maximum at 99.
Which of the following best describes the information about the medians?
The exam median is only 1–2 points higher than the class median.
The exam median is much higher than the class median.
The additional scores in the second quartile for the exam data make the m
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he 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 box plot is labeled August. Minimum at 80, Q1 at 82, median at 84, Q3 at 90, maximum at 100
What can you tell about the means for these two months?
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.
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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 1, Q1 at 3, median at 10.5, Q3 at 14, maximum at 21. The bottom box plot is labeled Females. Minimum at 0, Q1 at 15, median at 18, Q3 at 21, no maximum shown
Identify any values of data that might affect the statistical measures of spread and center.
The females worked more than the males, and the female Q3 equals the top of the range.
The spread and center are skewed due to the fourth quartile missing with the females.
There is a significant outlier at the low end for the females.
The males have a high outlier, and the females have a low outlier.
The table 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:
50 6 8.5 17 8.5 12 15.4 11.7
28 3 4.5 15 10.5 11 10.5 5.8
Which of the choices below best describes how to measure the spread of this data?
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.