The frequency distribution below summarizes the home sale prices in the city of Summerhill for the month of June.

Statistical Methods

Question 1Provide an appropriate response.

The frequency distribution below summarizes the home sale prices in the city of Summerhill for the month of June. Find the class boundaries for class 80.0-110.9.

Question 2Determine which score corresponds to the higher relative position.

Which is better: a score of 82 on a test with a mean of 70 and a standard deviation of 8, or a score of 82 on a test with a mean of 75 and a standard deviation of 4?

Question 3          Find the mean for the given sample data. Unless indicated otherwise, round your answer to one more decimal place than is present in the original data values.

The students in Hugh Logan’s math class took the Scholastic Aptitude Test. Their math scores are shown below. Find the mean score.

  Question 4Provide an appropriate response.

The frequency distribution below summarizes the home sale prices in the city of Summerhill for the month of June. Determine the width of each class.

Question 5 Use the empirical rule to solve the problem.

The systolic blood pressure of 18-year-old women is normally distributed with a mean of 120 mmHg and a standard deviation of 12 mmHg. What percentage of 18-year-old women have a systolic blood pressure between 96 mmHg and 144 mmHg?

Question 6Solve the problem. Round results to the nearest hundredth.

Scores on a test have a mean of 66 and a standard deviation of 9. Michelle has a score of 57. Convert Michelle’s score to a z-score.

Question 7Find the median for the given sample data.

The weights (in ounces) of 21 cookies are shown. Find the median weight.

 0.88 1.29 0.76 1.62 0.72 0.81 1.20

 1.29 1.53 0.91 0.88 1.48 1.17 0.64

 0.47 1.48 0.81 1.17 1.72 0.72 0.56

Question 8 Find the mode(s) for the given sample data.

7.35 7.41 7.56 7.35 7.88 7.99 7.62

Question 9 Use the data to create a stemplot.

The attendance counts for this season’s basketball games are listed below.

227 239 215 219

221 233 229 233

235 228 245 231

Question 10Find the mean of the data summarized in the given frequency distribution.

The heights of a group of professional basketball players are summarized in the frequency distribution below. Find the mean height. Round your answer to one decimal place.

Question 11        Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present in the original data. 

22.6 16.1 36.1 36.0 23.8 20.3

Question 12        Provide an appropriate response.

The frequency distribution below summarizes the home sale prices in the city of Summerhill for the month of June. Determine the class midpoint for class 235.0-265.9.

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