Data Trends and Central Tendency

by Felix Gabathuler

| 16 Questions1

1

For which group of data does the median equal the mean? sharing is caring

84, 84, 85, 86

74, 79, 82, 87

63, 66, 67, 68

14, 16, 18, 19

2

1

Consider the following sets of data above. Which set has the greatest mode?

Set A

Set B

Set C

Set D

3

1

In which set of data are the mean, median, and mode equal?

73, 74, 75, 75, 76

73, 75, 75, 76, 77

73, 75, 76, 76, 80

73, 75, 77, 79, 79

If you need a little extra help with Mean, Median, and Mode, watch the following video and complete the lesson. If you feel really good about this concept, move on to question #7.

Here's a few videos that explain when to use Mean, Median, and Mode when anaylzing data. Have a look!

4

1

Should you always rearrange your data to least to greatest when finding a central tendency like mean, median, or mode?

Yes

No

Maybe

5

1

Explain why you would sometimes use the median to find a trend instead of the mean. Use an example to help make your point.

6

1

Complete the following lesson to show off your new MMMs skills!

Mean, Median, Mode

Not done

Done!

7

1

Complete the following lesson even if you're feeling really good about the MMMs

Which one should I use?

Finished!

Not finished

8

1

Using the information above, which measure of central tendency (mean, median, or mode) gives a better sense of the price of gas during the 10 month period?

mean because it includes the extremes of $3.38 and $3.96

mean because it indicates absolute price per gallon

median because it leaves out the extremes of $3.38 and $3.96

median because it indeicates the expected range of gas prices.

What is the average length of the words in a book? A sample of ten words was randomly selected from a 304-page book and the average length (measured in letters) of the ten words was calculated. This process was repeated 15 times. The average word length of each of these fifteen samples is shown in the table below and in the histogram below. Use this information to answer the following questions.

9

1

What is the population in this study?

10

1

Why was a sample taken instead of studying the entire population?

11

1

What is the arithmetic mean of the word length for the population? (Pssst... arithmetic mean is the same thing as mean, just sounds more "proper")

12

1

Since the words for each sample were selected using random sampling, does this mean that the samples are more or less likely to be representative of the words in the entire book.

New Material Alert! New Material Alert! Watch the following video to learn about how to find the Mean Absolute Deviation of a set of data. You're going to need it to answer some of the the following questions! Don't skip! I repeat, don't skip! THIS IS NOT A DRILL PEOPLE!!!

13

1

The dot plot above represents the various wait times for a fast food joint. What is the mean of the data in minutes?

14

1

Using the same data, what is the MAD (Mean Absolute Deviation) of the data?

15

1

Given the data above, what is the difference in MAD between the two teachers' basketball skills?

16

1

In your opinion, who is the better free throw shooter? Why?

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