Graphs and Standard Deviations

This data is normally distributed.  What percent of the data is in the shaded region?

• 68%

• 95%

• 99.7%

• 50%

Which best describes the shaded part of this normal distribution graph?

• All data that is one or higher.

• All data that is one or more standard deviations above the mean.

• All data that is between 1 and 3.

• All data that is above the mean.

Where can we locate the mean in the normal curve?

• to the left portion

• to the right portion

• at the center

• on the z - axis

Between what two standard deviations of a normal distribution contain 68% of the data?

• one below and one above

• two below and two above

• two below and zero

• zero and two above

Both batters have the same average distance. Which one has a greater standard deviation?

• Batter A

• Batter B

• They have about the same standard deviation

On the normal curve graph, the POSITIVE standard deviations represent values ​ (a)   the mean?

• below

• above

When comparing data sets, a higher Standard Deviation indicates...

• More consistency and less variability

• Less consistency and less variability

• More consistency and more variability

• Less consistency and more variability

Four data sets are shown below.

Set 1: {10, 19, 38, 50, 51}

Set 2: {5, 21, 26, 39, 51}

Set 3: {9, 38, 50, 50, 51}

Set 4: {5, 28, 28, 28, 51}

Which data set has the largest standard deviation?

• Set 1

• Set 2

• Set 3

• Set 4

The data sets show the test scores of a group for the last two tests.

Test 1: {75, 75, 85, 80, 65, 70, 65} Test 2: {95, 85, 85, 90, 90, 95, 100}

Which data set had the SMALLER standard deviation?

• Test 1 with a standard deviation of 6.9

• Test 2 with a standard deviation of 6.9

• Test 1 with a standard deviation of 5.2

• Test 2 with a standard deviation of 5.2

What ACT score is 3 standard deviations below the mean?

• 12

• 16

• 20

• 21