# Frequency Distribution Analysis

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.

µ = ____ (round to the nearest tenth as needed)

(c) Find the variance of the probability distribution.

o² = ____ (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.