[Top Answer] MATH225N – Week 3 Assignment Understanding Measures of Central Tendency

Description

Week 3: Measures of Central Tendency and Variation

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Week 3 Assignment – Understanding Measures of Central Tendency

Objectives

3.2 Impact of Outliers on measures of Central Tendency

• Identify the effect of outliers on measures of central tendency

Activity 1

Question

The following histogram shows the dollar amounts of donations collected by a charitable organization over the course of a month. Identify the best measure of central tendency for this dataset.

Select the correct answer below:

• the mean
• the median
• the mode
• none of the above

Answer

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Activity 2

Question

The following histogram shows the monthly rents reported in a survey of university students. Which of the following would be a reasonable measure of central tendency for this dataset? Select all that apply.

Select all that apply:

• the mean
• the median
• the mode
• none of the above

Answer

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Activity 3

Question

The following dataset represents the math test scores for a class of 20 students.

90, 85, 95, 100, 100, 90, 100, 65, 100, 85, 80, 95, 80, 100, 85, 75, 100, 90, 90, 75

Would the mode be a good measure of central tendency for this dataset?

Select the correct answer below:

• Yes, since this database has a well-defined, unique mode.
• Yes, since this dataset contains no outlets.
• No since there are many more data values below the mode than above.
• No, since there are many more data values above the mode than below.
• No, since this dataset does not have a well-defined, unique mode.
• No, since this dataset contains no outliers.

Answer

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Activity 4

Question

The following dataset represents the math test scores for a class of 20 students.

90, 60, 85, 100, 100, 90, 100, 75, 100, 95, 95, 85, 30, 100, 40, 15, 100, 90, 70, 80

Identify the best measure of central tendency for this dataset.

Select the correct answer below:

• the mode, 100
• the mean, 80
• the median, 95
• the median, 90
• the mean, 85

Answer

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Activity 5

Question

The following is a dataset of salaries for a company (in thousands).  Find the mean and median and determine if the mean or median is the better measure of central tendency.

11,87,85,95,92,93,97

Mean =80, Median =92

The median is the better measure of central tendency.

Answer

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Activity 6

Question

The following dataset represents the dollar amounts of donations collected at the entrance to a free museum during one hour.

Is the median a reasonably good measure of central tendency for this dataset? What if the outlier were removed from consideration?

Select the correct answer below:

• The median is a good measure regardless of whether the outlier is included.
• The median is a very poor measure regardless of whether the outlier is included.
• The median is a good measure when the outlier is included, but it would be a very poor measure if the outlier were removed from consideration.
• The median is a very poor measure when the outlier is included, but it would be a good measure if the outlier were removed from consideration.

Answer

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