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Britany surveyed the students in three different Chemistry classes regarding the average number of hours of sleep they get each night. She calculated the mean and standard deviation (SD) of the data and recorded the results in the table below.

| Class A | Class B | Class C |
|----------------|----------------|----------------|
| Mean = 7.35 | Mean = 6.87 | Mean = 8.14 |
| SD = 2.92 | SD = 3.65 | SD = 3.10 |

Use the information provided to complete the following statement:

Class [ ] shows the most consistency in the number of hours slept per night because the [ ] is the [ ].



Answer :

GinnyAnswer
Given the data for the average number of hours of sleep and their standard deviations for the three classes, the task is to determine which class shows the most consistency in sleep hours.

To understand consistency, we look at the standard deviation (SD), which measures the amount of variation or dispersion in a set of values. The smaller the standard deviation, the more consistent the data.

Here are the standard deviations for the three classes:
- Class A: SD = 2.92
- Class B: SD = 3.65
- Class C: SD = 3.10

Among these, the smallest standard deviation is for Class A, which is 2.92. Therefore, Class A shows the most consistency in the number of hours slept per night.

So, with this information, we can complete the statement as follows:

Class [tex]$\text{A}$[/tex] shows the most consistency in the number of hours slept per night because the [tex]$\text{standard deviation}$[/tex] is the [tex]$\text{smallest}$[/tex].

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