Cpm Statistics

What does standard deviation represent?

• How many different variations are in the data set.

• How the population varies compared to the sample.

• How spread out each data value is from the mean.

• The range, but with a bunch of other stuff going on.

All of the below sets have the same mean.
Set 1-Standard Deviation=3.1
Set 2-Standard Deviation=4.9
Set 3-Standard Deviation=1.7
Set 4-Standard Deviation=3.2
Which set of data probably has the points closest to the mean?

• 1

• 2

• 3

• 4

All of the below sets have the same mean.

Set 1-Standard Deviation=3.1

Set 2-Standard Deviation=4.9

Set 3-Standard Deviation=1.7

Set 4-Standard Deviation=3.2

Which set of data probably has the points furthest to the mean?

• 1

• 2

• 3

• 4

The table on the right shows the statistics for the number of hours of homework per night during Term 1 and Term 2 for a group of students. What must be true?

• Term 1 students spent less time on homework than Term 2, but there was more variation in the number of hours spent on the homework.

• Term 2 students spent less time on homework than Term 1, but there was more variation in the number of hours spent on the homework.

• Term 1 students spent less time on homework than Term 2, but there was less variation in the number of hours spent on the homework.

• Term 2 students spent less time on homework than Term 1, but there was less variation in the number of hours spent on the homework.

The chart on the left shows the statistics on test scores in period 1 and period 5. Which is true?

• The average test score is higher for period 5, but the data is more spread out.

• The average test score is higher for period 1, but the data is more spread out.

• The average test score is higher for period 5, and the data is more consistent (closer to the mean) than period 1.

• The average test score is higher for period 1, and the data is more consistent (closer to the mean) than period 5.

The ages of the employees at Company A tend to be closer together, than those at Company B.

• True

• False

If a bowler needs to hit exactly 6 pins, which bowler is more reliable to hit that number?

• Bowler A

• Bowler B

• Both

• Neither

If the two batters each hit 10 balls, which batter probably hit the farthest ball and the shortest ball? 

• Batter A

• Batter B

• Both

• Neither

What does a standard deviation of 0 mean?

• There is no spread of data

• The spread of data is close to the mean

• The data is more spread out from the mean

• There is no mean

It is the branch of applied mathematics dealing with data collection, organization, analysis, interpretation and presentation.

• Algebra

• Trigonometry

• Statistics

• Geometry