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# Frequency Distribution Analysis

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A frequency distribution is shown below. Complete parts (a) through (e).
The number of dogs per household in a small town.
Dogs 0 1 2 3 4 5
Households 1185 425 163 45 28 15
x P(x)
0
1
2
3
4
5
(a) Use the frequency distribution to construct a probability distribution.
(round to the nearest thousandth as needed)

(b) Find the mean of the probability distribution.
Âµ = ____ (round to the nearest tenth as needed)

(c) Find the variance of the probability distribution.
oÂ² = ____ (round to the nearest tenth as needed)

(d) Find the standard deviation of the probability distribution.
____ (round to the nearest tenth as needed)

(e) Interpret the results in the context of the real-life situation. (choose the correct option below)
___ A household on average has 0.6 dog with a standard deviation of 15 dog.
___ A household on average has 1.0 dog with a standard deviation of 0.6 dog.
___ A household on average has 0.9 dog with a standard deviation of 1.0 dog.
___ A household on average has 0.6 dog with a standard deviation of 1.0 dog.

https://brainmass.com/statistics/summary-tables/frequency-distribution-analysis-498917

#### Solution Preview

A frequency distribution is shown below. Complete parts (a) through (e).
The number of dogs per household in a small town.
Dogs 0 1 2 3 4 5
Households 1185 425 163 45 28 15
Use the frequency distribution to construct a probability distribution.
x P(x)
0 1185/1861= .637
1 425/1861=.228
2 163/1861=.088
3 ...

#### Solution Summary

Frequency distribution analysis is examined.

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