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MATH 101 Chapter 8 (Part 2)

Practice questions for Math 101 or Math 121

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Math Corequisite (Math 101)

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West Virginia University

Academic year: 2022/2023

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MATH 101 Chapter 8 Assignment (Part 2)

Find the mean of the following data set. Assume the data set is a sample. Round your answer to the nearest hundredth, if necessary.

40, 41, 41, 42, 36, 36, 39, 35, 29, 46, 33

A) 38

B) 41

C) 39

D) 4.

Identify whether the following data set is unimodal, bimodal, multimodal, or has no mode. Assume the data set is a sample and find the modes, if any exist.

26, 39, 22, 28, 32, 29, 29, 35, 34, 34, 33

A) No Mode

B) Bimodal; 29,

C) Bimodal; 29,

D) Bimodal; 32,

Find the range of the following data set. Assume the data set is a sample.

25, 48, 33, 50, 21, 33, 34, 27, 45, 28, 28

A) 33

B) 29

C) 71

D) 50

Find the standard deviation of the following data set. Assume the data set is a sample. Round your answer to the nearest hundredth, if necessary.

88, 53, 53, 54, 48, 48, 85, 47, 41, 90, 45

A) 59.

B) 18.

C) 17.

D) 53

A researcher randomly purchases several different kits of a popular building toy. The following table shows the number of pieces in each kit in the sample. Find the median of the data.

Building Toy Pieces 155 40 260 345 345 40 99 291 260 104 165 203

A) 184

B) 260

C) 231.

D) 160

Suppose that diameters of a new species of apple have a bell-shaped distribution with a mean of 7 cm and a standard deviation of 0 cm. Describe where approximately 95% of apple diameters lie.

A) below 5 and above 8.

B) below 6 and above 7.

C) between 6 and 7.

D) between 6 and 7.

Calculate the standard score of the given 𝑥 value, 𝑥 = 36, where 𝜇 = 31, 𝜎 = 5. Round your answer to two decimal places.

A) −0.

B) −1.

C) 1.

D) 1.

Scores on a test have a mean of 64 and a standard deviation of 9. Tom has a score of
1. Convert Tom's score to a 𝑧-score, rounded to the nearest hundredth.

A) 0.

B) −0.

C) 0.

D) −0.

The rainfall in a town last year measured 42 inches. If the annual rainfall has a mean of 47 inches and a standard deviation of 10 inches, how many standard deviations away from the mean was the rainfall last year? Round your answer to two decimal places.

A) 0.

B) 0.

C) −0.

D) 0.

What percentage of the area under the normal curve is to the left of the following 𝑧- score? Round your answer to two decimal places.

𝑧 = −0. A) 50%

B) 0%

C) 49%

D) 0%

What percentage of the area under the normal curve is to the right of the following 𝑧- score? Round your answer to two decimal places.

𝑧 = 1. A) 0%

B) 1%

C) 96%

D) 3%

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