Middle Measures
Are you a statistic?
Boxes-and-Whiskers
Plot the Dots
Hoppin' Histograms
100

3. Bob has a fish tank with the following items in it: 2 clown fish, 1 puffer fish, 3 goldfish, 2 coral, 4 plants, 210 rocks, and 2 snails.  Find the mode, or the number that appears most often.

2

100

How long do most 6th graders spend on homework each night?

Statistical Question

100

16. What is the median of the data represented in the box plot?

40

100

10. Find the median of the dot plot.

1

100

13. The histogram shows the number of books read by four different age groups over the summer. How many total books were read from the entire group?

125 books

200

2. Bob has a fish tank with the following items in it: 2 clown fish, 1 puffer fish, 3 goldfish, 2 coral, 4 plants, 210 rocks, and 2 snails.  Find the median, or middle value.

2 clown fish OR 2 coral OR 2 snails

200

Who received the highest score in this class on the last math quiz?

Not a statistical question

200

11. What is the interquartile range of the data represented in the box plot?

30

200

12. What is the median of the data represented in the dot plot below?

11

200

15) The histogram shows the lengths of kite strings held by students in a contest. How long were most students’ kite strings?

6-10 in.

300

1. Bob has a fish tank with the following items in it: 2 clown fish, 1 puffer fish, 3 goldfish, 2 coral, 4 plants, 210 rocks, and 2 snail. Find the MEAN, or average.

32 items

300

How far away from school do students live?

Statistical Question

300

The minimum of a set of data is the ____________, where as the maximum of a set of data is the ____________.


A. Smallest

B. Largest 

The minimum of a set of data is the SMALLEST, where as the maximum of a set of data is the LARGEST.

300

True or False: The information given on a dot plot can be used to create a box-and-whisker plot.

True!  A box-and-whisker plot and a dot plot use the same information, as well as provide the same information -- median, range, etc.

300

True or False: A histogram can be used to find all measures of central (mean, median, range, etc.).

False!  It does not give specific information about a set of data.

400

4. Bob has a fish tank with the following items in it: 2 clown fish, 1 puffer fish, 3 goldfish, 2 coral, 4 plants, 210 rocks, and 2 snails.  Find the range of the data.

209

400

What is a statistical question?

A statistical question has more than one answer.

400

Explain how to find the interquartile range on a box-and-whisker plot.

Subtract the upper quarter from the lower quartile.

400

Explain how to find the MOde of a set of data.

MO stands for MOST OFTEN.  The mode is a value that appears most often in a set.

400

Explain what a histogram is used for.

A histogram is a type of bar graph that represents the frequencies of data with intervals or categories. 

500

5. Bob has a fish tank with the following items in it: 2 clown fish, 1 puffer fish, 3 goldfish, 2 coral, 4 plants, 210 rocks, and 2 snails.  What is the outlier?  Why is this the outlier?

210 rocks; 210 is significantly higher than the other given amounts.

500

Give an example of a statistical question.

Answers will vary

500

Explain how to find the range of a set of data.

Subtract the highest value from the lowest value.

500

Explain how to find the median, or middle, of the set of data.

Put the data in order from least to greatest.  Cross out the values in order from least to greatest until there is one or two values left.


If, there are two values left then, add them together and divide by two.

500

14. Alana rode her bicycle 10 miles on Monday, 20 miles on Tuesday and 30 miles on Wednesday. What is the mean number of miles she rode her bike in the three-day period?

20 miles