To calculate : The standard deviation and variance for the given wind speeds data.

The standard deviation and variance of the given data is 1.55 and 2.40 respectively.

Given information :

The average annual wind speeds at 44 climatic data centers around the United States are: 9.0,6.9,9.1,9.2,10.2,12.5,12.0,11.2,12.9,10.3,10.6,10.9,8.7,10.3,11.0,7.7,11.4,7.9,9.6,8.0,10.7,9.3,7.9,6.2,8.3,8.9,9.3,11.6,10.6,9.0,8.2,9.4,10.6,9.5,6.3,9.1,7.9,9.7,8.8,6.9,8.7,9.0,8.9,9.3

Formula used :

The standard deviation of a population x1,x2,x3,......,xn is given by,

s=1n−1∑i=1nxi−x¯2 .

Variance =s2 .

Calculation :

Find the mean of the given data.

X¯=413.544≈9.4

Find the standard deviation s of the given data using calculator.

s=1n−1∑i=1nxi−x¯2=144−1103.089≈1.55

Find the variance for the given data.

s2≈2.40

Therefore, the standard deviation and variance of the given data is 1.55 and 2.40 respectively.

Chapter 10.3, Problem 37E

Chapter 10.3, Problem 39E

Chapter 10 Solutions

PRECALCULUS:GRAPHICAL,...-NASTA ED.

Ch. 10.1 - Prob. 1QR Ch. 10.1 - Prob. 2QR Ch. 10.1 - Prob. 3QR Ch. 10.1 - Prob. 4QR Ch. 10.1 - Prob. 5QR Ch. 10.1 - Prob. 6QR Ch. 10.1 - Prob. 7QR Ch. 10.1 - Prob. 8QR Ch. 10.1 - Prob. 9QR Ch. 10.1 - Prob. 10QR

Ch. 10.1 - Prob. 1E Ch. 10.1 - Prob. 2E Ch. 10.1 - Prob. 3E Ch. 10.1 - Prob. 4E Ch. 10.1 - Prob. 5E Ch. 10.1 - Prob. 6E Ch. 10.1 - Prob. 7E Ch. 10.1 - Prob. 8E Ch. 10.1 - Prob. 9E Ch. 10.1 - Prob. 10E Ch. 10.1 - Prob. 11E Ch. 10.1 - Prob. 12E Ch. 10.1 - Prob. 13E Ch. 10.1 - Prob. 14E Ch. 10.1 - Prob. 15E Ch. 10.1 - Prob. 16E Ch. 10.1 - Prob. 17E Ch. 10.1 - Prob. 18E Ch. 10.1 - Prob. 19E Ch. 10.1 - Prob. 20E Ch. 10.1 - Prob. 21E Ch. 10.1 - Prob. 22E Ch. 10.1 - Prob. 23E Ch. 10.1 - Prob. 24E Ch. 10.1 - Prob. 25E Ch. 10.1 - Prob. 26E Ch. 10.1 - Prob. 27E Ch. 10.1 - Prob. 28E Ch. 10.1 - Prob. 29E Ch. 10.1 - Prob. 30E Ch. 10.1 - Prob. 31E Ch. 10.1 - Prob. 32E Ch. 10.1 - Prob. 33E Ch. 10.1 - Prob. 34E Ch. 10.1 - Prob. 35E Ch. 10.1 - Prob. 36E Ch. 10.1 - Prob. 37E Ch. 10.1 - Prob. 38E Ch. 10.1 - Prob. 39E Ch. 10.1 - Prob. 40E Ch. 10.1 - Prob. 41E Ch. 10.1 - Prob. 42E Ch. 10.1 - Prob. 43E Ch. 10.1 - Prob. 44E Ch. 10.1 - Prob. 45E Ch. 10.1 - Prob. 46E Ch. 10.1 - Prob. 47E Ch. 10.1 - Prob. 48E Ch. 10.1 - 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