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math 163 week 3

by | Dec 2, 2023 | Posted Questions

1. The following graph represents weights of a sample of people.
a. Describe the shape of the distribution of data. (using statistical names)
b. What real world situation might cause the graph to have this shape?
50
40
30
20
10
0 102.0 127.0 152.0 177.0 202.0 227.0 2. The empirical rules states that:
a. ______% of data in a symmetrical distribution will fall within one standard
deviation of the mean
b. ______% of data in a symmetrical distribution will fall within two standard
deviations of the mean
c. ______% of data in a symmetrical distribution will fall within three standard
deviations of the mean
3. The following data represents ages of a random sample of climbers at PEAK:
21
a.
b.
c.
d.
e.
f. 9 44 11 52 18 31 22 23 19 23 28 30 25 Find the mean
Find standard deviation
Find the quartiles
Find the standard score (z-score) for the first three data points
Create a Box and Whisker Plot for the data
If you sampled a much larger number of climbers, between which two (specific)
ages would you expect about 95% of the climbers to fall?

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