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# Data Distributions

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1. Based on the display, the mode (or modes) for this distribution of values is ???

1 000
1 5688999
2 1112244
2 57
3 134
3 68
4 2
4 7
5 1
5 5
6
6
7
7

2. The following shows the 5 - number summary for the box-and-whisker plot.

Box-and-whisker plot

Five-number Summary
Minimum 142
First Quartile 224
Median 266
Third Quartile 282
Maximum 360

Based on the information presented, one can conclude that distribution of the cholesterol will be ???

https://brainmass.com/statistics/quantative-analysis-of-data/questions-distributions-mode-skewness-117754

#### Solution Preview

1. Based on the display, the mode (or modes) for this distribution of values is

1 000
1 5688999
2 1112244
2 57
3 134
3 68
4 2
4 7
5 1
5 5
6
6
7
7

Answer: 10, 19 and 21 (three modes)

This is a stem and leaf plot. It's used to see if a distribution is symmetrical or skewed in either direction (in this way, it's like a histogram - only on its side, and with numbers instead of bars).

A stem and leaf plot is made by putting the numbers in order from smallest to largest, then organizing them: in this case, the first row has all the numbers from 10 - 14, the second row has all the numbers from 15 - 19, the third row as all the numbers from 20 - 24, etc. The numbers are written with their ten's digit in the ...

#### Solution Summary

The solution consists of answers and explanations to two statistics questions. The first question involves the mode(s) of a stem-and-leaf plot. The second question involves determining whether or not a distribution is skewed right, skewed left, or is symmetrical.

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