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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
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 data point
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.
related lessons
watch the lessons below for more detailed explanations of the concepts tested in this question. and don't worry, you'll be able to return to this answer from the lesson page.
