Question

In: Statistics and Probability

The accompanying frequency distribution represents the square footage of a random sample of 500 houses that...

The accompanying frequency distribution represents the square footage of a random sample of 500 houses that are owner occupied year round. Approximate the mean and standard deviation square footage.

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The mean square footage is

x overbarxequals=nothing.

​(Round to the nearest integer as​ needed.)

The standard deviation square footage is

Square footage Lower Limit Upper Limit Frequency
0-499 0 499 9
500-999 500 999 13
1000-1499 1000 1499 36
1500-1999 1500 1999 115
2000-2499 2000 2499 125
2500-2999 2500 2999 83
3000-3499 3000 3499 45
3500-3999 3500 3999 45
4000-4499 4000 4499 22
4500-4999 4500 4999 7

Solutions

Expert Solution

Here the classes and their corresponding frequencies are given. We calculate class marks.Class marks are the midpoints of the classes denoted by Xi.

The following table is calculated in excel.The columns in the table are needed in the formula of mean and standard deviation.

The mean and standard deviation can be found using the following formulas

orchestra answered 1 year ago
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