Stats final review

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A random sample of 374 United States pennies was collected, and the age of each penny was determined. According to the boxblot below, what is the approximate interquartile range (IQR) of the ages?

16

Two sections of a class took the same quiz. Section A had 15 students who had a mean score of 80, and Section B had 20 students who had a mean score of 90. Overall, what was the approximate mean score for all of the students on the quiz?

85.7

A company determines the mean and standard deviation of the number of sick days taken by its employees in one year. Which of the following is the best description of the standard deviation?

Approximately the mean distance between the number of sick days taken by individual employees and the mean number of sick days taken by all employees

A scientist recorded the duration of the eruptions of the Old Faithful geyser in Yellowstone National Park that occurred during a one-month time period. The histogram below shows the distribution of the duration, in seconds, of the eruptions. Based on the histogram, which of the following is the best description of the distribution?

The distribution displays two clusters, with one cluster centered at about 260 seconds, and has a range of at most 250 seconds

A school is having a contest in which students guess the number of candies in a jar. The student whose guess is the closest to the correct number of candies in the jar wins a prize. The number of candies guessed by male and female students is shown in the back-to-back stemplot below. Which of the following statements in true about the distribution of guesses?

The distribution of guesses for male and female students are both skewed to the left

A graph (not shown) of the selling prices of homes in a certain city for the month of April reveals that the distribution is skewed to the left. Which o the following statements is the most reasonable conclusion about the selling prices based on the graph

The value of maximum minus third quartile is less than the value of first quartile minus minimum

In a certain school district, students from grade 6 through grade 12 can participate in a school-sponsored community service activity. The following bar chart shows the relative frequency of students from each grade who participate in the community service activity. Which of the following is supported by the bar chart?

grade 12 had the least relative frequency of participation students

A veterinarian collected data on the weights of 1,000 cats and dogs treated in a veterinary clinic. The weight of each animal was classified as either healthy, underweight, or overweight. The data are summarized in the table. Based on the data in the table, which of the following is the most appropriate type of graph to visually show whether a relationship exists between the type of animal and the weight classification?

segmented bar chart

A random sample of 25 households from the mountain view school district was surveyed. In this survey, data were collected on the age of the youngest child living in each household. The histogram below displays the data collected in the survey. In which of the following intervals in the median of these data located?

8 years old to less than 10 years old

The number of siblings was recorded for each student of a group of 80 students. Some summary statistics ad a histogram displaying the results are shown. An outlier is often defined as a number that is more than 1.5 times the interquartile range below the first quartile or above the third quartile. Using the definition of an outlier and the given information, which of the following can be concluded?

the median is less than the mean, and the distribution has two outliers.


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