3.1 Homework

1. The following values represent a population with mean

A sample from this population is , 745, 934736 . Compute the sample mean and indicate whether the sample mean underestimates or overestimates the population mean. Round the sample mean to one decimal place.

The sample mean is _____.  The sample mean ___________ the population mean _______ because the sample mean is _______

2.    A data set has a mean of 4  and a median of 3.8. . Would you expect this data set to be skewed to the right, skewed to the left, or approximately symmetric?

We would expect the data set to be ________

3.   Use the properties of the mean and median to determine which are the correct mean and median for the following histogram.

Choose the correct answer.

Mean is 4.5 and median is 4.1

Mean is 5.7 and median is 5.5

Mean is 6.6 and median is 6.5

Mean is  5.9 and median is  6.7

4.  Use the properties of the mean and median to determine which are the correct mean and median for the following histogram.

Choose the correct answer.

Mean is 4.2 and median is 2.1

Mean is 4.1 and median is 4.2

Mean is 3.3 and median is 3.6

Mean is 2.1 and median is 3.2

5.  Take in a show: The following table presents the weekly attendance, in thousands, at some Broadway shows during the 2012-2013  season.

(a) Find the mean and median weekly attendance. Round the answers to at least two decimal places.

(b) Based on the mean and median, would you expect that a histogram would be skewed to the left, skewed to the right, or approximately symmetric?

6.  Great swimmer: In a recent Summer Olympic Games, Michael Phelps won five gold medals in swimming. Following are the events he won, along with his margin of victory, in seconds.

(a) What was the mean margin of victory? Round the answer to three decimal places as needed.

(b) What was the median margin of victory? Round the answer to three decimal places as needed.

(c) Assume the margin of victory in the 100m individual medley was incorrectly entered as 19.2. Which would increase more, the mean or the median? Explain why

7. Find the mean, median, and mode(s) of the data in the following stem-and-leaf plot. The leaf represents the ones digit.

Find the mean. Round your answer to one decimal place, if necessary.

Find the median. Round your answer to one decimal place, if necessary.

Find the mode(s). If there is more than one, separate them with commas.

1. There is no mode.
2. There is at least one mode.

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