Look at the two histograms below. Each involves the same number of data. The dat

Question

Look at the two histograms below. Each involves the same number of data. The data are all whole numbers, so the height of each bar represents the number of values equal to the corresponding midpoint shown on the horizontal axis. Notice that both distributions are symmetric.

(a) Estimate the mode, median, and mean for each histogram.

(b) Which distribution has the larger standard deviation? Why?

Distribution (i), because more of the data are farther from the mean.

Distribution (ii), because more of the data are farther from the mean.    

Distribution (i), because more of the data are closer to the mean.

Distribution (ii), because more of the data are closer to the mean.

(i) (ii) mode median mean A Frequency Frequency ON 01 LO + HHHHH 4 5 6 7 8 9 10 4 5 6 7 8 9 10

Explanation / Answer

a)

b) Distribution (ii), because more of the data are father from the mean.

(i) (ii) mode 7 7 median 7 7 mean 7 7

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