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1. A booklet has 12 pages with the following numbers of :
271, 354, 296, 301, 333, 326, 285, 298, 327, 316, 287 and 314
What is the mean deviation of the number of words per page?

A 18.5 B 20 C 19.33 D 20.17

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Answer:

C

Step-by-step explanation:

THe mean deviation is the sum of all the differences of the values from the mean and then we divide by the number of values in the data set.

First, lets find the mean (sum of all the numbers divided by number of numbers):

Mean = (271+354+296+301+333+326+285+298+327+316+287+314)/12 = 309

Now, the mean deviation:

|(271-309+(354-309+(296-309+.....(314-309))|/12 = 19.33

The mean absolute deviation (MAD) is equal to 19.33

Correct answer is C

Lanuel

The mean deviation of the number of words per page is: C. 19.33

Given the following data:

  • Number of pages = 12 pages

Numbers (x):

  • 271.
  • 354.
  • 296.
  • 301.
  • 333.
  • 326.
  • 285.
  • 298.
  • 327.
  • 316.
  • 287.
  • 314.

To determine the mean deviation of the number of words per page:

[tex]F(x) = 271+354+296+ 301+ 333+ 326+ 285+ 298+ 327+ 316+ 287+ 314\\\\F(x) = 3708[/tex]

First of all, we would determine the mean of the booklet pages.

Mathematically, mean is given by the formula:

[tex]Mean = \frac{F(x)}{n}[/tex]

Substituting the given parameters into the formula, we have;

[tex]Mean = \frac{3708}{12}[/tex]

Mean = 309

For mean deviation:

[tex]Deviation =(271-309)+(354-309)+(296-309)+ (301-309)+ (333-309)+ (326-309)+ (285-309)+ (298-309)+ (327-309)+ (316-309)+ (287-309)+ (314-309) \\\\Deviation =38+45+13+8+24+17+24+11+18+7+22+5\\\\Deviation =232[/tex]

[tex]Mean\;deviation = \frac{Deviation}{n} \\\\Mean\;deviation = \frac{232}{12}[/tex]

Mean deviation = 19.33

Read more: https://brainly.com/question/21901228

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