## Practice Problems: Measures of Variability - Answer

A group committed to quality television has been concerned about a new talk show. For two weeks, they decide to count the number of words that must be "bleeped" as too obscene for television and the number of physical altercations. They hope that after recording this data that they will be able to argue that the show is inappropriate for television particularly during the day. The data for number of words censored is provided below.

 X X2 349 121801 342 116964 321 103041 289 83521 267 71289 254 64516 166 27556 157 24649 132 17424 33 1089 2310 631850

## Standard Deviation

 S = 10 (631850) - 23102 10 (10 - 1)

S = 104.47754

## Variance

The variance is 10915.556. The standard deviation is 104.47754. The variance is the square of the standard deviation. 104.47754 squared is equal to 10915.556.

S2 = 10915.556

## Range

The range is 316. The high score is 349; the low score is 33. 349 - 33 = 316.

Range = 316

## What does this information tell you about variability of number of words censored during the talk show?

The variability is quite high. The standard deviation is approximately 104 words. Considering that most shows have no words needing to be regularly censored, a mean of 231 with a standard deviation of 104 is outside of the norm.

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