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. Click the icon to view the data table.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Related questions
Question
Row
Square footage Lower Limit Upper Limit
Frequency
va
1
0-499
499
9
500-999
500
13
666
1499
1000-1499
1000
36
4
1500-1999
1500
1999
121
5
2000-2499
2000
2499
119
2500-2999
2500
2999
81
7
3000-3499
3000
3499
47
8
3500-3999
3500
3999
45
4000-4499
4000
4499
22
10
4500-4999
4500
4999
7
11
12
13
Transcribed Image Text:Row Square footage Lower Limit Upper Limit Frequency va 1 0-499 499 9 500-999 500 13 666 1499 1000-1499 1000 36 4 1500-1999 1500 1999 121 5 2000-2499 2000 2499 119 2500-2999 2500 2999 81 7 3000-3499 3000 3499 47 8 3500-3999 3500 3999 45 4000-4499 4000 4499 22 10 4500-4999 4500 4999 7 11 12 13
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.
Click the icon to view the data table.
The mean square footage is x=.
(Round to the nearest integer as needed.)
Transcribed Image Text: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. Click the icon to view the data table. The mean square footage is x=. (Round to the nearest integer as needed.)
Expert Solution
Step 1
Square Footage Frequency Midvalues (xi) fixi
0 - 499 5 249.5 1247.5
500 - 999 17 749.5 12741.5
1000-1499 33 1249.5 41233.5
1500 - 1999 115 1749.5 201192.5
2000 - 2499 125 2249.5 281187.5
2500 - 2999 83 2749.5 228208.5
3000 - 3499 45 3249.5 146227.5
3500 - 3999 41 3749.5 153729.5
4000 - 4499 26 4249.5 110487
4500 - 4999 10 4749.5 47495
     N      = 500 Total: 1223750

 

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