Understanding Basic Statistics
Understanding Basic Statistics
Interpretation Histograms of random sample data are often used as an indication of the shape of the underlying population distribution. The histograms on the next page are based on random sample of size 30.50, and 100 from the same population.
(a) Using the midpoint labels of the three histograms, what would you say about the estimated range of the population data from smallest to largest? Does the balk of the data seem to be between 8and 12 in all three histograms?
(b) The population distribution from which the samples were draws is symmetric and mound-shaped, with the top of the mound at10.95% of the data between 8 and 12, and 99.7% of data between 7 and 13. How well does each histogram reflect these characteristics?
(a)
The range of the population data from smallest to largest and whether the bulk of the data seem to be between 8 and 12 in all three histograms.
Using the midpoint labels of the three histograms, the range of the population data from smallest to largest is shown in the following table:
| Â | Smallest | Largest |
| Histogram (i) | 8 | 12 |
| Histogram (ii) | 7 | 12 |
| Histogram (iii) | 7 | 13 |
In the first histogram, the data fall between 8 and 12 but few values fall outside 8...
(b)
To explain: Whether the population distribution of three histograms was symmetric and mound-shaped.
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