Statistics Chapter

Ervin bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the sample standard deviation of Ervin's scores?

• 511.33

• 22.61

• 438.48

• 20.94

What is the population standard deviation for the data given:

{12, 13, 29, 18, 61, 35, 21}

• 293.67

• 15.87

• 17.14

• 41.98

What is the population variance for the data given:

• 47.49

• 102.01

• 52.77

• 81

At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What percentage of students at the high school have a GPA between 2.3 and 3.5?

• 68%

• 99.7%

• 95%

• 84%

The average of the number of trials it took a sample of mice to learn to traverse a maze was 12. the standard deviation was 2. Using Chebyshev's theorem, find the minimum percentage of of data values that will fall in the range of 4 to 20 trials.

• 75%

• 88.89%

• 93.75%

• 96%

• 97.22%

A and B are both sets of ratio-level data.
A has a mean of 12 and a standard deviation of 0.6. B has a mean of 6 and a standard deviation of 0.4.
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Use the Coefficient of Variation to determine which set has more variation.

• Set A

• Set B

• They have the same variation

• It is impossible to tell with this information

The average height for men is 69.4 inches and a standard deviation of 2.3 inches. Find the z-score for a man with a height of 78 inches.
hint: z(x) = (x - μ) / σ

• 3.74

• 47.83

• -3.74

• 1.11

If heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard deviation of 2.5 inches, what is the z score of a 3rd grader who is 47 inches tall? 

• -5

• -2

• 2

• 5

Find the median, first quartile, third quartile, and interquartile range of the data.

32, 53, 72, 66, 47, 54, 49, 67, 71

• Median: 54

  First Quartile: 49

  Third Quartile: 67

  IQR: 18

• Median: 54

  First Quartile: 48

  Third Quartile: 69

  IQR: 21

• Median: 54

  First Quartile: 48

  Third Quartile: 69

  IQR: 22

• Median: 54

  First Quartile: 49

  Third Quartile: 69

  IQR: 20

What is the theoretical probability that a number greater than 4 was rolled on the number cube?

• 1/3 or .333

• 1/2 or .5

• 2/3 or .666

• 1/6 or .1666