Standard Deviation Grouped Data

Given the following grouped data, calculate the standard deviation: | Class Interval | Frequency | |----------------|------------| | 10-20 | 3 | | 20-30 | 7 | | 30-40 | 9 | | 40-50 | 6 |

• 10

• 12

• 11

• 9

Given the following grouped data, calculate the standard deviation: | Class Interval | Frequency | |----------------|------------| | 0-10 | 4 | | 10-20 | 6 | | 20-30 | 8 | | 30-40 | 10 |

• 8

• 9

• 10

• 11

Given the following grouped data, calculate the standard deviation: | Class Interval | Frequency | |----------------|------------| | 5-15 | 5 | | 15-25 | 7 | | 25-35 | 9 | | 35-45 | 11 |

• 9

• 10

• 11

• 12

If a data set has a low standard deviation, what does this indicate about the data points?

• The data points are spread out over a wide range of values.

• The data points are closely clustered around the mean.

• The data points are all the same.

• The data points vary greatly from the mean.

What can be inferred if two different sets of data have the same mean but different standard deviations?

• They have the same number of data points.

• They have the same median.

• They have the same range of data points.

• They differ in how spread out their data points are.

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

• Batter A

• Batter B

What is the standard deviation of the data?

• 0.88 cm

• 0.90 cm

• 0.94 cm

• 1.02 cm

List each set of data by color from the lowest standard deviation to the highest standard deviation.

• blue, green, pink, red

• red, pink, green, blue

• pink, green, red, blue

• blue, green, red, pink

Which of the following would indicate a more consistent performance across a set of data points?

• A standard deviation of 10

• A standard deviation of 2

• A standard deviation of 15

• A standard deviation of 20

What is the standard deviation a measure of in a data set?

• The average value of the data points.

• The total range of the data points.

• The variability or spread of the data points around the mean.

• The median value of the data points.