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# Liberty MATH 114 Homework 2 Answers Complete Solutions

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### Question 1

Define and distinguish among mean, median, and mode.

Choose the correct description of the mean below.

### Question 2

What are outliers? Describe the effects of outliers on the mean, median, and mode.

### Question 3

What do we mean when we say that a distribution is symmetric? Give simple examples of a symmetric distribution, a left-skewed distribution, and a right-skewed distribution.

Give a simple example of a symmetric distribution. Choose the correct answer below

Give a simple example of a left-skewed distribution. Choose the correct answer below.

Give a simple example of a right-skewed distribution. Choose the correct answer below.

### Question 4

Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning.

In my data set of 10 exam scores, the median turned out to be the score of the person with the third highest grade. No two people got the same score.

### Question 5

Decide whether each of the following statements makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning.

I made a distribution of 15 apartment rents in my neighborhood. One apartment had a much higher rent than all of the others, and this outlier caused the mean rent to be higher than the median rent.

## STATUS

### Question 6

Decide whether each of the following statements makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning.

The distribution of grades was left-skewed, but the mean, median, and mode were all the same.

### Question 7

The numbers of words defined on randomly selected pages from a dictionary are shown below. Find the mean, median, and mode of the listed numbers.

What is the mean? Select the correct choice below and, if necessary, fill in the answer box within your choice.

What is the median?

What is(are) the mode(s)? Select the correct choice below and, if necessary, fill in the answer box within your choice.

### Question 8

Actual times (in seconds) recorded when statistics students participated in an experiment to test their ability to determine when one minute (60 seconds) had passed are shown below. Find the mean, median, and mode of the listed numbers.

What is(are) the mode(s)? Select the correct choice below and, if necessary, fill in the answer box within your choice.

### Question 9

Cans of soda vary slightly in weight. Given below are the measured weights of seven cans, in pounds. Find the mean and median of these weights. Which, if any, of these weights would be considered an outlier? What are the mean and median weights if the outlier is excluded?

Which, if any, of these weights would be considered an outlier? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

Find the mean with the outlier excluded. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

Find the median with the outlier excluded. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.