Three distributions, labeled (a), (b), and (c) are represented below by their histograms. Each distribution is symmetrical and is made of 10 measurements. Without performing any calculations, order their respective standard deviations o, O, and o. (a) (b) 3 4 5 6 7 8 9 10 11 12 13 14 9 10 11 12 13 14 (c) 5 6 7 8 9 10 11 12 13 14

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Three distributions, labeled (a), (b), and (c) are represented below by their histograms. Each distribution is symmetrical and is made of 10 measurements.
Without performing any calculations, order their respective standard deviations o,g, Op, and o,.
(a)
(b)
2
3 4 5
6
7 8
10 11 12 13 14
3
4 5
6.
7 8 9 10 11 12 13 14
(c)
由由
1
2 3 4
6 7 8 9 10 11 12 13 14
Transcribed Image Text:Three distributions, labeled (a), (b), and (c) are represented below by their histograms. Each distribution is symmetrical and is made of 10 measurements. Without performing any calculations, order their respective standard deviations o,g, Op, and o,. (a) (b) 2 3 4 5 6 7 8 10 11 12 13 14 3 4 5 6. 7 8 9 10 11 12 13 14 (c) 由由 1 2 3 4 6 7 8 9 10 11 12 13 14
Expert Solution
Step 1

The standard deviation is a measure of dispersion of data around the mean.

The histogram is a plot which is used to depict the distribution of data with frequency on vertical axis and variable on horizontal axis. 

By observing the histogram, one can tell whether the data is skewed or symmetric. Greater the variation in heights of bars of the histogram, higher is the standard deviation of data. Wider the histogram, higher is the standard deviation of data.

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