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ID: 2946734 • Letter: S
Question
score in gradebook: 0 out of 1 Try another similar question, reattempt last question below, or select another question Which of the following graphs has a higher standard deviation? - 4.79 ?-5.00 15 1 6 0 0 1 2 3 45678 9 10 0 1 2 3 4567 8 9 10 Score Score O It is impossible to determine from these graphs O Graph B Both graphs have the same standard deviation O Graph A Points possible: 1 This is attempt 3 of 3. Score on last attempt: 0. Score in gradebook: 0 Subgit When you are done, click here to see a summary of your scores. acBook AirExplanation / Answer
Standard deviation is a measure of dispersion. It measures the distances of each observation from its mean. The formula for standard deviation is given by SQRT{sum(Xi-Xbar)^2/(n-1)}.
The histogram represent the frequency on the y-axis and the observation on the x-axis.
It is everything from the histogram that in graph A, there are a lot of observations with high frequencies which are at distance apart from the mean (4.79). however in graph B, there are very few observations with low frequencies which are at a distance from the mean (5). Hence I expect a high standard deviation for graph A.
The tall bars corresponding to score 1, 2, 9, 10 in graph A, are the indication towards high frequencies which are at distance apart from the mean (4.79). The short bars corresponding to score 1, 2, 9, 10 in graph B, are the indication towards low frequencies which are at distance apart from the mean (5).
Thus, the correct option is GRAPH A
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