AP Stats Q1.1

A running club consisting of 28 members challenged one another to keep up with their training in preparation for a marathon. The dotplot below shows the distances each runner reported running in the three weeks prior to the marathon, rounded to the nearest mile. Which of the following is true about the dotplot?

• The dotplot is roughly symmetric and centered around 75 miles.

• The dotplot is strongly skewed left and centered around 80 miles.

• The dotplot is strongly skewed right and centered around 80 miles.

• It would be impossible to calculate the mean of the rounded data set from the dotplot.

• It would be impossible to calculate the median of the rounded data set from the dotplot.

A student randomly selected 20 novels from the local library and recorded the number of pages in each of the novels. The data are as follows: 225, 252, 191, 218, 246, 259, 204, 216, 219, 247, 207, 279, 241, 224, 216, 225, 222, 218, and 220. To make a stemplot, what should the stems be?

• 9, 1, 2, 3, 4, 5, 6, 7

• 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

• 19, 20, 21, 22, 24, 25, 27

• 19, 20, 21, 22, 23, 24, 25, 26, 27

• This data cannot be displayed using a stemplot.

A sample of 150 high school students was asked how many days each week they use social media. The histogram below shows the distribution of responses to the question. The best description of the histogram is

• skewed right and unimodal.

• skewed left and unimodal.

• roughly symmetric and unimodal.

• skewed right and bimodal.

• skewed left and bimodal.

Consider the histograms below comparing weights, in pounds, of US adults in 1950 and 2015. Which of the following statements is not correct?

• Both distributions are unimodal.

• Both histograms have the same skewed-left shape.

• Neither distribution of weights appears to have outliers.

• Both sets of data have approximately the same range of weights.

• The median of the weights in 1950 is similar to the median of 2015.

Thirty students were asked how many books they read over the past year. The stemplot below shows the results. which value would the number of books read be considered an outlier?

• 34

• 46

• 49

• 61

• 71

The US Census Bureau provides a questionnaire that asks the respondent about the number of people who live in the household, the state in which the respondent resides, and the household income. The US Census Bureau also records whether the respondent answered the census by phone, mail, or the internet. Which of the following statements is true concerning the variables recorded by the US Census Bureau in this scenario?

• Four variables are measured, one of which is categorical.

• Three variables are measured, one of which is categorical.

• Four variables are measured, three of which are categorical.

• Four variables are measured, two of which are categorical.

• Three variables are measured, two of which are categorical.

All seniors voted for this year’s prom theme. The bar graph below shows the distribution of responses of which theme each student selected. Is there a problem with the way the data are displayed in the bar graph?

• Yes, the vertical axis should begin at 0, not at 5.

• Yes, the categories should be displayed in alphabetical order: Beach Party, Masquerade Ball, The 1920s, and Winter Wonderland.

• Yes, the categories should be displayed in increasing order of preference: The 1920s, Masquerade Ball, Winter Wonderland, and Beach Party.

• Yes, the vertical axis should show the percentage of students who voted for each option, not the number of students who voted for each option.

• No, there are no problems with the way the data are displayed.