Measures of Center and Spread

Mean

100

Find the mean for following set of data

4,2,6,1,2

The answer is 3

200

What is another name for mean?

Average

300

Is the mean a measure of center or measure of variation?

Measure of Center

400

Find the mean for the following set of data

54,32,41,49,86,72,39,36

51.7

500

How do you find the mean of a set of numbers?

Add all the numbers then divide by the amount of numbers

Median

100

Find the median for the following set of data:

11,13,16,17,18,20,21

17

200

Where is the median located?

Middle of the data

300

T/F Median is a Measure of Spread

False

400

Find the median for the following set of data:

21,3,14,35,9,4,10,9,30,25

12

500

How do you find the median if there are two numbers in the middle?

Find their mean

Mode

100

Find the mode of the data set:

7,9,8,5,8,4,7,3,6,9

7,8,9

200

Define "mode"

Data value that occurs most frequently

300

T/F There can only be one mode

False

400

Find the mode:

7,7,7,7,8,8,8,8,9,9,9,9,10,10,10,10

No mode

500

Can all the numbers be the mode?

No

Range

100

Find the range 

25,14,36,19,30,20

22

200

How do you find range?

Subtract the smallest number from largest number

300

T/F Range is a Measure of Spread.

True

400

Find the range

17,27,25,20,36,19,30,29,48

31

500

Find the range 

20,20,20,20

0

Random (sort of!)

100

Name all measures of center we have discussed.

Mean, median, and mode

200

Name all measures of spread we have discussed.

Range, standard deviation.

300

If a data set has a small standard deviation, what does this mean about the data?

It's either closely centered around the mean, or there are very few values farther away from the mean.  

400

Two different Statistics classes took a quiz, and the teacher calculated the mean and standard deviation.

Class A had a mean of 80% and a standard deviation of 2.

Class B had a mean of 75% and a standard deviation of 7.

Which class had more consistent scores, and why? 

Class A had more consistent scores because the standard deviation is smaller. This means the scores are closer to the mean, or fewer students scored far above or below the mean.

500

Give an example of a set of data values with a standard deviation of 0.

Explain how you know the standard deviation would be 0.

If all of the data values are the same, then the standard deviation is 0 because there is no spread or distance from the mean at all.