Standard Deviation Quiz

Benjamin, Lily, and Abigail are conducting a study on the heights of students in their school. They want to measure the average distance between each student's height and the mean height. Which measure of dispersion should they use?

• range

• mean absolute deviation

• variance

• standard deviation

Grace, Maya, and Samuel are conducting a science experiment and they record their results. If the standard deviation of their recorded data is 0, what can you say about their results?

• The results are constant or have no variation.

• The results are missing values.

• The results are normally distributed.

• The results are highly variable.

Luna, Benjamin, and Samuel are studying statistics. They are discussing the relationship between standard deviation and variance in their data. What is the correct relationship?

• Standard deviation is the square root of variance.

• Standard deviation is the sum of variance.

• Standard deviation is the reciprocal of variance.

• Standard deviation is the average of variance.

Hannah, Liam, and Benjamin decided to measure the height of their pet dog every day for a week. However, the dog's height remained the same throughout the week. What is the standard deviation of the dog's height data they collected?

• 1

• 0

• 100

• 10

Oliver, Jackson, and Avery are conducting a study on the number of hours their classmates spend on homework each week. They collected the following data: 5, 10, 7, 12, 0, 20, 15, 22, 8, 2 hours. Use a calculator to find the standard deviation for this data.

• 6.9

• 10.1

• 7.3

• 9

If you have the variance, how do you get the standard deviation?

• square it

• subtract the mean

• take the square root

• Take the reciprocal

Noah, Hannah, and Emma are participating in a game where they collect points. The points they collected in 10 rounds are as follows:

5, 10, 7, 12, 0, 20, 15, 22, 8, 2

What is the standard deviation of the points collected?

• 6.89

• 10.1

• 7.26

• 9

Arjun, Nora, and Olivia are part of a study group and they are trying to understand the concept of variance. They collected some data points from their recent quiz scores:

5, 10, 7, 12, 0, 20, 15, 22, 8, 2

What is the variance for these scores?

• 47.47

• 102.01

• 52.77

• 81

Rohan, Emma, and Aria are conducting a study on the heights of their classmates. If the standard deviation of their data set is 4, what would be the variance?

• 2

• 16

• 4

Casey scored the following grades on her math test: 98, 76, 88, 92, 92, 68, 87, 79, 100, 84. What was Casey's standard deviation rounded to the nearest tenth?

• 10.5

• 86.6

• 5.9

• 9.4