The following data give the prices of seven textbooks randomly selected from a university bookstore. $93 $173 $107 $125 $56 $163 $144 a. Find the mean for these data. Calculate the deviations of the data values from the mean. Is the sum of these deviations zero? Mean = $ 123 Deviation from the mean for $173 = $ 0 Sum of these deviations = $ - 433 b. Calculate the range, variance, and standard deviation. [Round your answers to 2 decimal places.] Range = $ Variance = Standard deviation = $ Click if you would like to Show Work for this question: Open Show Work LINK TO TEXT

Question

Mathematics

Kenya Hopkins

8 March, 04:11

The following data give the prices of seven textbooks randomly selected from a university bookstore. $93 $173 $107 $125 $56 $163 $144 a. Find the mean for these data. Calculate the deviations of the data values from the mean. Is the sum of these deviations zero? Mean = $ 123 Deviation from the mean for $173 = $ 0 Sum of these deviations = $ - 433 b. Calculate the range, variance, and standard deviation. [Round your answers to 2 decimal places.] Range = $ Variance = Standard deviation = $ Click if you would like to Show Work for this question: Open Show Work LINK TO TEXT

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Answers (1)

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Jean Daugherty · Answer 1

Mean = $123

Standard deviation = 10190

Variance = 1698

Step-by-step explanation:

Mean=?

= sum of all numbers / Total numbers

a = 93+173+107+125+56+163+144 / 7 = 861/7 = $123

Standard deviation=?

we know that = Sqareroot [ Sum (y) ²] / N

we need deviation:

= x-a = y; y²

= 93-123 = - 30; 900

=173-123 = 50; 2500

=107-123 = - 16; 256

=125-123 = 2; 4

=56-123 = - 67; 4489

=163-123 = 40; 1600

=144-123 = 21; 441

Sum of y² = 10190.

= Square root [ 10190 / 7 ]

= 38.1

Variance = ?

= Sum (y) ² / N-1

= 10190 / (7-1)

= 10190 / 6

= 1698