Unit 1: Exploring One-Variable Data

A distribution that is skewed right has:

A data set has a mean of 50 and a standard deviation of 10. According to the empirical rule, approximately what percentage of data falls between 30 and 70?

The five-number summary of a data set consists of:

An observation is considered an outlier using the 1.5 × IQR rule if it falls:

A [math]-score of [math] indicates that the observation is:

If every value in a data set is multiplied by 3 and then 5 is added, the standard deviation of the new data set is:

A normal distribution is:

The percentile rank of an observation tells you:

A data set has a mean of 50 and a median of 45. Which of the following best describes the shape of the distribution?

Which of the following changes to a data set would increase the standard deviation?

The five-number summary of a data set is {10, 25, 35, 50, 90}. Using the 1.5 × IQR rule, which value is an outlier?

A student scores at the 80th percentile on a standardized test. What does this mean?

A distribution has mean 70 and standard deviation 5. What is the z-score of a value of 82?

Which of the following is NOT a valid way to compare two distributions?

If every value in a data set is multiplied by 3, what happens to the mean and standard deviation?

Which measure of center is more resistant to outliers?

Which type of graph is best for displaying the distribution of a small quantitative data set?

On a cumulative relative frequency plot (ogive), the median corresponds to the value at:

The variance of a data set is 16. What is the standard deviation?

If 10 is added to every value in a data set, what happens to the standard deviation?

Using the 1.5 × IQR rule, which value(s) would be classified as outliers?

How would you describe the shape of this distribution?

Which class has the larger standard deviation?

If the score of 15 is removed from the dataset, which measure of center will change the most?

Which student scored better relative to their class?

Using the empirical rule, approximately what percentage of adult men have heights between 66 and 74 inches?

Which of the following statements is supported by the data?

A student scored 720. At approximately what percentile is this score?

A class of 30 students took a quiz. The five-number summary of the scores is: Min = 42, Q1 = 65, Median = 74, Q3 = 82, Max = 98. Using the 1.5 × IQR rule, which of the following scores would be classified as an outlier?

The dotplot below shows the number of text messages sent per day by 20 students. The distribution has a cluster from 10 to 30 messages, a gap from 31 to 49 messages, and a single dot at 55. A student claims the distribution is approximately normal. Is this claim justified?

A researcher collects data on daily temperatures (°F) for a city across one year. The mean temperature is 62°F with a standard deviation of 18°F. A temperature of 20°F is observed. The researcher switches units to Celsius using C = (5/9)(F − 32). What is the z-score of the 20°F observation in Celsius?

A researcher records the commute times (in minutes) for 50 employees. The five-number summary is: Min = 8, Q1 = 18, Median = 25, Q3 = 38, Max = 95. Using the 1.5 × IQR rule, which values would be classified as outliers?

The mean score on a test is 72 with a standard deviation of 8. If each score is transformed by the rule new score = 1.5(old score) + 10, what are the new mean and new standard deviation?