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# Statistics: Deviation, variance, mean score, mean, median, mode

Consider the data 8, 6, 7, 7, 9, 4, 8. What is the variance?

Given the following sentences in years for vehicular manslaughter group of 27:
Sentences f
10 1
9 0
8 4
7 8
6 1
5 3
4 3
3 3
2 2
1 2
What is the mean score?

Consider the data 8, 6, 7, 7, 9, 4, 8. What is the standard deviation?

The scores on a crime seriousness scale were obtained for 46 adults. For the following simple frequency distribution, calculate the mean, the median, and the mode.
Score f
10 3
9 4
8 5
7 6
6 7
5 5
4 5
3 4
2 3
1 4
N=46

In a study of college binge drinking in the 1990s, Henry Wechsler examined racial differences in the percentage of binge drinkers. The following table summarizes his results (Sourcebook 2000):
Race Percent Binge Drinkers in 1999
White 49.2
Black 15.5
Asian/Pacific Islander 23.1
Other 39.6

What is the measure of central tendency most appropriate for these data? Why?
What does this measure of central tendency tell you about the most typical binge drinker?

#### Solution Preview

See the attached file

1. a)

b)
2. a)

b)
Score x f xf Cum Freq
10 3 30 3
9 4 36 7
8 5 40 12
7 6 42 18
6 7 42 25
5 5 25 30
4 5 20 35
3 4 12 39
2 3 6 42
1 4 4 46
Sum 46 257 ...

#### Solution Summary

The deviation, variance,mean score, mean, median, and mode is examined.

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