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Question
select the correct answer from each drop - down menu. brittany 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
sd = 2.92 | mean = 6.87
sd = 3.65 | mean = 8.14
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
Step1: Understand the concept of consistency
Consistency in data is related to the standard - deviation. A smaller standard - deviation indicates less spread in the data, meaning more consistency.
Step2: Compare the standard - deviations
We have standard - deviation for Class A: $SD_A = 2.92$, for Class B: $SD_B=3.65$, and for Class C: $SD_C = 3.10$.
Since $2.92<3.10 < 3.65$, Class A has the smallest standard - deviation.
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Class A shows the most consistency in the number of hours slept per night because the standard deviation is the smallest.