Shoppers were surveyed about their spending for holiday shopping. The standard deviation of the amount shoppers spent was $125. Which of the following is the best interpretation of this value?

A. Fifty percent of the amount shoppers spent is above $125.
B. The middle half of the amount shoppers spent has a range that is $125 wide.
C. The amount shoppers spent typically varies by about $125 from the mean.
D. The difference between the largest and smallest amounts shoppers spent was $125.

Question

04-12-2023
Mathematics

High School

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Shoppers were surveyed about their spending for holiday shopping. The standard deviation of the amount shoppers spent was $125. Which of the following is the best interpretation of this value?

A. Fifty percent of the amount shoppers spent is above $125.
B. The middle half of the amount shoppers spent has a range that is $125 wide.
C. The amount shoppers spent typically varies by about $125 from the mean.
D. The difference between the largest and smallest amounts shoppers spent was $125.

Answer :

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sinlin404 sinlin404 · Answer 1 · 2024-11-12T00:11:25-05:00

sinlin404 sinlin404

12-11-2024

Answer:

C. The amount shoppers spent typically varies by about $125 from the mean.

Step-by-step explanation:

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KarpaT KarpaT · Answer 2 · 2024-11-26T14:16:25-05:00

The best interpretation of the given standard deviation value of $125 is:

The amount shoppers spent typically varies by about $125 from the mean.

Standard deviation measures the average amount of variability or dispersion from the mean in a dataset. In this case, a standard deviation of $125 suggests that, on average, the individual amounts spent by shoppers for holiday shopping can deviate or vary by approximately $125 from the mean amount spent. This interpretation indicates the extent of variability in spending habits among the shoppers.

Therefore, The best interpretation of the given standard deviation value of $125 is: The amount shoppers spent typically varies by about $125 from the mean.

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