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Ms. Parker determined that the mean test score in her first-period class was 81 with a standard deviation of 7.06. The mean test score in her second-period class was 88 with a standard deviation of 8.24. Which conclusion can be made about her students’ test scores?
Period 2 had scores that were less spread out around the mean than Period 1.
Period 1 had scores that were less spread out around the mean than Period 2.
Period 2 had scores that were less spread out around the median than Period 1.
Period 1 had scores that were less spread out around the median than Period 2.
Kyle created the box plot based on the data shown:
1, 5, 5, 6, 1, 8, 3, 5, 6, 6, 7, 8, 2, 3, 4, 8
Where did Kyle make a mistake in creating the box plot?
Quartile 1 is on the wrong number.
The median is on the wrong number.
Quartile 3 is on the wrong number.
He did not make a mistake.
Athena compared her science and math test grades. Her results are shown below.
Math: 94, 82, 99, 87, 93, 88, 41, 94, 90
Science: 71, 75, 81, 79, 82, 77, 78, 75, 79
Which statement describes the data sets?
The median of her math grades is larger than that of her science grades, but the interquartile range of her science grades is larger than that of her math grades.
The median of her science grades is larger than that of her math grades, but the interquartile range of her math grades is larger than that of her science grades.
Both the median and interquartile range of her math grades are larger than those of her science grades.
Both the median and interquartile range of her science grades are larger than those of her math grades.
Jason recorded the annual salary, in millions of dollars, for twelve professional athletes in the table below.
Jason calculated the mean and the median salaries. Then, Jason added an additional player’s salary of $21 million to the table. How did this additional salary affect the mean and the median?
Only the mean increased.
Only the median increased.
Both the mean and the median increased.
Neither the mean nor the median increased.
For a set of data, the lower quartile is 19, the median is 31, and the upper quartile is 48. Which value would be an outlier using 1.5 × IQR criteria?
-13
12
75
96
Which of the box-and-whisker plots represent data that has a median of 18 and a lower quartile of 16?
Plot 2
Plot 3
Plots 1 and 2
Plots 1 and 3
Jason recorded the number of minutes he practiced playing the piano each day for two weeks. The results are listed below.
Week 1: 20, 30, 30, 20, 30, 35, 25
Week 2: 20, 35, 25, 35, 35, 40, 30
What was the approximate difference in the mean number of minutes Jason practiced each week?
The mean number of minutes Jason practiced each day in week 1 was 4 fewer than in week 2.
The mean number of minutes Jason practiced each day in week 1 was 5 fewer than in week 2.
The mean number of minutes Jason practiced each day in week 1 was 4 more than in week 2.
The mean number of minutes Jason practiced each day in week 1 was 5 more than in week 2.
The salaries, in thousands of dollars, of employees at two different small businesses are listed below.
Business 1: 20, 30, 35, 45, 50, 80
Business 2: 25, 30, 40, 40, 45, 75
What is the difference in the interquartile ranges of the salaries at each business?
The interquartile range of salaries at Business 1 is $5,000 less than the interquartile range of salaries at Business 2.
The interquartile range of salaries at Business 1 is $5,000 more than the interquartile range of salaries at Business 2.
The interquartile range of salaries at Business 1 is $10,000 less than the interquartile range of salaries at Business 2.
The interquartile range of salaries at Business 1 is $10,000 more than the interquartile range of salaries at Business 2.
Dave records the number of hours he spent watching television each day for a period of 10 days as shown.
5, 1, 2, 6, 3, 4, 7, 8, 10, 4
Which box-and-whisker plot represents the data he recorded?
A card store sells greeting cards that range from less than $1 to $10. The histogram below shows the distribution of cards throughout several price ranges and was determined to be the most accurate way of representing these data.
Which of these mostlikely describes the data shown in the histogram?
The cards are grouped into five intervals according to price. The prices of the cards vary within each interval, and the highest frequency is 21.
The cards are grouped into twenty-two intervals according to price. The prices of the cards vary within each interval, and the highest frequency is 10.
The cards are grouped into five intervals according to price. The prices of the cards are limited to a few whole number values, and the highest frequency is 21.
The cards are grouped into twenty-two intervals according to price. The prices of the cards are limited to a few whole number values, and the highest frequency is 10.
In a gym class, each student counted how many sit-ups he could do in one minute. The frequency data are shown in the table below. The class has 41 students.
The histogram below shows the ages of the members of a club.
Which of these correctly describes the data shown in the histogram?
The club is more desirable to an older audience because the data are skewed to the right.
The club is more desirable to an older audience because the data are skewed to the left.
The club is equally desirable to all age groups because the data are uniformly distributed.
The club is equally desirable to all age groups because the data are symmetric.
John recorded the number of rotten tomatoes in each crate delivered to a store.
Which histogram correctly represents the data from the table?
Linda’s quiz scores are 95, 88, 98, 92, 100, and 50. If the outlier is removed, how is the shape of the distribution of the scores affected?
The distribution will become skewed right.
The distribution will become skewed left.
The distribution will become more normal.
The distribution will not change.
The number of sandwiches sold by four stores during one week is shown in the graphs. Which store has the MOST skewed data?