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- 1. Multiple Choice
The stem-and-leaf diagram below gives the distribution of the ages in years of 20 participants at a family reunion. Which of the following statements about the distribution is correct?The first quartile is larger than the third quartile.The distribution is strongly skewed to the left.It makes the most sense to use the mean and standard deviation as a numerical summary of the center and spread of this distribution.The mean is larger than the median. - 2. Multiple ChoiceIndependently selected groups of middle-school children were given a poem to memorize. After a certain period of time, they were asked to recall as much of the poem as they could. A back-to-back stem plot of the distribution of the number of words that each group of children could correctly remember is displayed above. Which of the following statements about these data is true?There are more students in Group 1 than in Group 2.The third quartile of the Group 1 distribution is larger than the maximum value of the Group 2 distribution (that is, 25% of the Group 1 values are larger than any Group 2 value).The median of the Group 2 distribution is smaller than the first quartile of the Group 1 distribution (that is, 50% of the Group 2 values are smaller than at least 75% of Group 1 values).The mean number of words remembered for Group 1 is smaller than the mean number of words remember for Group 2.
- 3. Multiple ChoiceWhich of the distributions displayed in the dot plots below has the highest standard deviation?Distribution ADistribution BDistribution C
- 4. Multiple ChoiceAccording to the 1.5 x IQR rule, how many outliers are there in the data set 72, 110, 114, 115, 118, 123, 144, 156?NoneOneTwoThree
- 5. Multiple ChoiceThe histogram shows the typical travel time to school (self-reported) for 50 high school students. Which of the following statements is true about the mean and median of this distribution?Mean > MedianMean < MedianMean = MedianMean ≈ Median
- 6. Multiple Choice
A random sample of 50 students reported their gender, then selected from 4 options of one word that best described how they felt at the time. The results are summarized in the table. What percentage of males felt tired?
1.2 %
12.0%
24.0%
54.5%
57.1%
- 7. Multiple ChoiceThe five number summary for a one-variable dataset is {5, 28, 29, 42, 75}. If you wanted to construct a modified boxplot for the dataset (that is, one that would show outliers if there are any), what would be the maximum possible length of the right side “whisker”?21423314
- 8. Multiple ChoiceA medical researcher collects health data on many women in each of several countries. One of the variables measured for each woman in the study is her weight in pounds. The following list gives the five-number summary for the weights of women in one of the countries.
Country A: 100, 125, 130, 165, 205
About what percent of Country A women weigh between 125 and 205 pounds?25%50%75%80% - 9. Multiple Choice
The box plots compare the gross earnings, in millions of dollars, of movies during the months of August and November. Which statement correctly compares the two data sets?
The median in August is about half of the median in November.
The median in November is about 400 more than the median in August.
The difference in the medians is about half of the range in November.
The difference in the medians is about half of the interquartile range in August.
- 10. Multiple Choice
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- 13. Multiple ChoiceWhich of the following statements about this distribution is not correct?The histogram is skew right.The median is less than the $20.The IQR is $35.The mean is greater then the median.
- 14. Multiple ChoiceA survey was designed to study how business operations vary according to their size. Companies were classified as small,medium, or large. Questionnaires were sent to 200 randomly selected businesses of each size. Because not all questionnaires in a survey of this type are returned, researchers decided to investigate the relationship between the response rate and the size of the business. The data are given in the following two-way table:
What percent of all small companies receiving questionnaires responded?20.8%33.3%50.8%62.5% - 15. Multiple ChoiceWhich of the following is NOT true?There are two outliers in the data.The median IQ score is 100.The IQR is 40.25% of IQ scores are below 93.
- 16. Multiple ChoiceWhich of the following is NOT true.There is more variability in Macaw lifetimes in the wild.25% of Macaws in Captivity live longer than 80 years.75% of Macaws in captivity live longer than 73 years.The mean lifetime for Macaws in the Wild is 54.
- 17. Multiple Choice15 people took a CPR test. What was the median score?5-1010-1515-2020-25
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- 19. Multiple Choice
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