Statistics Midterm Exam Review | Baamboozle - Baamboozle

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Statistics Midterm Exam Review

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True or False? Histograms, stem-plots and line graphs display categorical data.

False

5

True or False? You ask several classmates how many credits they are taking. You have just collected quantitative data.

True

5

A split Stem-plot for a data set is shown. Write out the original data set used to create the split Stem-plot.

10, 13, 13, 14, 15, 25, 28, 28, 30, 31, 36

10

Find the mean age of the following 7 people. Round to the nearest tenth: 17, 19, 35, 36, 39, 51, 61. How many of these people have ages below the mean?

36.9 years, 4 people have ages below the mean.

15

Find the five-number summary with this set of data: 12, 13, 23, 25, 26, 26, 27, 30, 38, 39, 40

L: 12, Q1: 23, M: 26, Q3: 38, H: 40

15

The ages of a group of graduate students are distributed in the following box plot. Give the 5 Number Summary for the data from the box-plot.

L: 24, Q1: 27, M: 31, Q3: 33 , H: 34

15

The ages of a group of graduate students are distributed in the following box plot. Where does the lower 25% of the data lie? Where does the middle 50% of the data lie?

The lower 25% is from 24 to 27 years and the middle 50% is from 27 to 33 years.

15

Multiple choice. From this box-plot, you can conclude that this data set is: a. Symmetric b. Skewed to the right c. Skewed to the left

b. Skewed to the left

15

Fill in the blanks: If a set of data is skewed, then the ________________ will be pulled away from the ________________ in the direction of the _________________.

If a set of data is skewed, then the MEAN will be pulled away from the MEDIAN in the direction of the SKEW.

20

Using the normal curves shown, state the mean and the standard deviation for each distribution.

Blue distribution: mean is 75, standard deviation is 5. Red distribution: mean is 75, standard deviation is 10.

20

Fill in the blanks: The Empirical Rule: About _____% of the data falls within ____ s.d. of the mean. About ____% of the data falls within ____ s.d. of the mean and about _____% of the data falls within ____ s.d. of the mean.

68%, ONE, 95%, TWO, 99.7% THREE

20

Find the percentage of scores which are less than 3.5. Round your answer to the nearest tenth of a percent.

6.2%

20

The weights of bags of flour are normally distributed, with a mean of 5 pounds and a standard deviation of 0.2 pounds. How heavy must a bag be to be in the heaviest 90% of all bags? Round to the nearest tenth of a pound.

4.7 lbs

20

State the mean and standard deviation of the normal curve shown. What is the official name of this normal curve?

The mean is 0 and the standard deviation is 1, Official name: The Standard Normal Curve

20

A runner completed a race in 37.5 minutes. The average time for this race is 48 minutes, with a standard deviation of 6 minutes. What is the runner’s z-score?

z = -1.75

10

Find the percentage of observations that have z-scores above z = -2.75. Round your answer to the nearest tenth of a percent.

99.7%

15