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8.3 Mean, Median and Mode

Three measures of center, how each is computed, and which one represents a dataset best when outliers or skew drag the average away.

Contemporary Mathematics, 8.3 Mean, Median and Mode

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9 exercises

8.3 Exercise 1

In the example, we looked at a stem-and-leaf plot of the sale prices (in dollars) of a particular collectible trading card:

What is the mode price?

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8.3 Exercise 3

In the example, we created a frequency distribution of the number of siblings of conflict resolution class attendees.

What is the mode of the number of siblings?

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8.3 Exercise 5

In the example, we looked at a stem-and-leaf plot that contained 33 sale prices (in dollars) of a particular collectible trading card:

What is the median price?

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8.3 Exercise 7

In the example, we looked at the number of times different crickets (of differing species, genders, etc.) chirped in a one-minute span. That data is again provided below:

Find the median.

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8.3 Exercise 9

In the example, we created a frequency distribution of the number of siblings of the people who attended a conflict resolution class. Let's review that data again:

What is the median of the number of siblings?

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8.3 Exercise 11

Compute the mean of the numbers 12, 15, 17, 18, 18, and 19.

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8.3 Exercise 13

Refer again to the frequency distribution of the number of siblings people who attended a conflict resolution class reported:

What is the mean of the number of siblings?

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8.3 Exercise 15

The dataset "InState" contains the in-state tuitions of every college and university in the country that reported that data to the Department of Education. Find the mode, median, and mean of those in-state tuition values.

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8.3 Exercise 17

For the following situations, decide which measure(s) of centrality would be best:

  1. You found a used car that you like, and you want to know if the price is too high or too low. You find a list of sale prices for that make and model, and you see that the distribution of those prices is skewed to the right. Some of the prices at the high end are close to the original sale price of the car, so…

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Adapted from Contemporary Mathematics © 2023 Rice University. Licensed under CC BY 4.0. Source: Contemporary Mathematics. Imported at revision fa7c1a1.