Homework: Homework#3 Score: 0 of 1 pt 29 29 of 42 (35 complete) of 42 (35 comple
ID: 3071959 • Letter: H
Question
Homework: Homework#3 Score: 0 of 1 pt 29 29 of 42 (35 complete) of 42 (35 complete) Y HW Score: 74 21%, 31 17 01 42 pts 3.3.1 Recently, a random sample of 13-18 year olds was asked, How much do you currently havein savings? Tho data in the table represent he responses to he survey Aowodmato the mcan and standard deviatin anurted savings. EEB Click the icon to view the frequency distribution for the amount of savings The sample mean amount of savings is S Round to the nearest dollar as needed) Frequency distribution of amount of savings 344 95 49 0-5199 $200-$399 $400-3599 $600-5799 $800-3999 1000-$1199 $1200-S1399 14 PrintDone Answ Enter your answer in the answer box and then click Check PM Type here to search SUSExplanation / Answer
Solution:
Mean of the frequency distribution can be calculated as:
first we need to calculate midpoints of the interval
Class
Midpoints(X)
Frequency(f)
(XF)
0-199
99.5
344
34228
200-399
299.5
95
28452.5
400-599
499.5
49
24475.5
600-799
699.5
18
12591
800-999
899.5
14
12593
1000-1199
1099.5
6
6597
1200-1399
1299.5
1
1299.5
Mean = summation(XF)/Summation(F) = (34228+28452.5+24475.5+12591+12593+6597+1299.5)/527 = 228.1527
Standard deviation can be calculated as
S= sqrt (summation((X-Xbar)^2 *f/n)
Class
Midpoints(X)
Frequency(f)
(XF)
X-Xbar
(X-Xbar)^2
(X-Xbar)^2 *f
0-199
99.5
344
34228
-128.65275142315
16551.5304487468
5693726.4743689
200-399
299.5
95
28452.5
71.3472485768501
5090.42987948684
483590.83855125
400-599
499.5
49
24475.5
271.34724857685
73629.3293102269
3607837.13620112
600-799
699.5
18
12591
471.34724857685
222168.228740967
3999028.1173374
800-999
899.5
14
12593
671.34724857685
450707.128171707
6309899.7944039
1000-1199
1099.5
6
6597
871.34724857685
759246.027602447
4555476.16561468
1200-1399
1299.5
1
1299.5
1071.34724857685
1147784.92703319
1147784.92703319
527
120236.5
Xbar
228.15275142315
S = sqrt(25797343.4535/527) = sqrt(48951.31) = 221.2494
Class
Midpoints(X)
Frequency(f)
(XF)
0-199
99.5
344
34228
200-399
299.5
95
28452.5
400-599
499.5
49
24475.5
600-799
699.5
18
12591
800-999
899.5
14
12593
1000-1199
1099.5
6
6597
1200-1399
1299.5
1
1299.5
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