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# Data Distributions

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 ???

#### 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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