# 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 ???

Â© BrainMass Inc. brainmass.com March 4, 2021, 7:42 pm ad1c9bdddfhttps://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.