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Consider each of the choices separately and select all that apply.

In a population of chickens, the average (arithmetic mean) weight is 6.3 pounds, and the standard deviation is 1.2 pounds. Which of the following weights (in pounds) are within 1.5 units of standard deviation of the mean?

Indicate all weights.

Title

Weight of Chickens

Your Result

Correct

Difficulty

Medium

Your Pace

0:05

Others' Pace

1:21

Video Explanation


Text Explanation

This is a Multiple Answer question with numerical answer choices listed from least to greatest. This suggests that we might be able to find a range of acceptable values to apply to the choices (think minimum and/or maximum).

Standard deviation reflects how far data is spread out from the mean. Let's quickly review the concept of units of standard deviation.

For a data set with a mean of and a standard deviation of , a data point that is units of standard deviation above the mean will be equal to,
,
and a data point that is units below the mean will be equal to,
.

In this question, we have a mean of 6.3 and a standard deviation of 1.2, and we are looking for weights within 1.5 units of standard deviation from the mean. This means the maximum possible weight is 1.5 units above the mean, and the minimum possible weight is 1.5 units below the mean.

The maximum value in this range is,



The minimum value in this range is,



Therefore, acceptable answer choices will be in the range .

All of the answer choices from [B] 4.6 to [G] 7.7 are acceptable.

Answer choices [B], [C], [D], [E], [F], [G] are correct.





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