Mathematics, 02.03.2020 18:54 samoanlgnd

There were 48 SIDS cases in King County, Washington, during the years 1974 and 1975. The birthweights in grams) of these 48 cases were 2466 3941 2807 3118 2098 3175 3515 3317 3742 3062 3033 2353 2013 3515 3260 2892 1616 4423 3572 2750 2807 2807 3005 3374 2722 2495 3459 3374 1984 2495 3062 3005 2608 2353 4394 3232 2013 2551 2977 3118 2637 1503 2438 2722 2863 2013 3232 286.3Calculate the sample mean and standard deviation for this set.

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Answer from: Fahaddie

Mean=2891.125.

Standard deviation=623.3918

Step-by-step explanation:

Let X be the birth weights of SIDS cases in King County, Washington.

The appropriate last observation is 2863.(also confirmed by web search)

Sample mean=xbar=sumx/n

sumx=2466 +3941 +2807 +3118 +2098 +3175 +3515 +3317 +3742 +3062 +3033 +2353 +2013 +3515 +3260 +2892 +1616 +4423 +3572 +2750 +2807 +2807 +3005 +3374 +2722 +2495 +3459 +3374 +1984 +2495 +3062 +3005 +2608 +2353 +4394 +3232 +2013 +2551 +2977 +3118 +2637 +1503 +2438 +2722 +2863 +2013+ 3232 +2863

sumx=138774

Xbar=138774/48

Mean=Xbar=2891.125

X X-Xbar(X-Xbar)²

2466-425.125 180731.2656

39411049.8751102237.516

2807-84.125 7077.015625

3118 226.87551472.26563

2098-793.125 629047.2656

3175283.875 80585.01563

3515623.875 389220.0156

3317425.875 181369.5156

3742850.875 723988.2656

3062170.875 29198.26563

3033141.875 20128.51563

2353-538.125 289578.5156

2013-878.125 771103.5156

3515623.875 389220.0156

3260368.875 136068.7656

28920.875 0.765625

1616 -1275.1251625943.766

44231531.875 2346641.016

3572680.875 463590.7656

2750-141.125 19916.26563

2807-84.125 7077.015625

3005113.875 12967.51563

3374482.875 233168.2656

2722-169.125 28603.26563

2495-396.125 156915.0156

3459567.875 322482.0156

3374482.875 233168.2656

1984-907.125 822875.7656

2495-396.125 156915.0156

3062170.875 29198.26563

3005113.875 12967.51563

2608-283.125 80159.76563

2353-538.125 289578.5156

43941502.8752258633.266

3232340.875 116195.7656

2013-878.125 771103.5156

2551-340.125 115685.0156

297785.875 7374.515625

3118 226.875 51472.26563

2637-254.125 64579.51563

1503-1388.1251926891.016

2438-453.125 205322.2656

2722-169.125 28603.26563

2863-28.125 791.015625

2013-878.125 771103.5156

3232340.875 116195.7656

2863-28.125 791.015625

The sample standard deviation can be calculated as

$Standard deviation=\sqrt{\frac{sum(x-xbar)^2}{n-1} }$

sum(X-Xbar)² =180731.2656 +1102237.516 +7077.015625 +51472.26563 +629047.2656 +80585.01563 +389220.0156 +181369.5156 +723988.2656 +29198.26563 +20128.51563 +289578.5156 +771103.5156 +389220.0156 +136068.7656 +0.765625 +1625943.766 +2346641.016 +463590.7656 +19916.26563 +7077.015625 +7077.015625 +12967.51563 +233168.2656 +28603.26563 +156915.0156 +322482.0156 +233168.2656 +822875.7656 +156915.0156 +29198.26563 +12967.51563 +80159.76563 +289578.5156 +2258633.266 +116195.7656 +771103.5156 +115685.0156 +7374.515625 +51472.26563 +64579.51563 +1926891.016 +205322.2656 +28603.26563 +791.015625 +771103.5156 +116195.7656 +791.015625

sum(X-Xbar)² =18265013.25

$Standard deviation=\sqrt{\frac{18265013.25}{48-1} }$

$Standard deviation=\sqrt{\frac{18265013.25}{47} }$

$Standard deviation=\sqrt{388617.3032}$

Standard deviation=623.3918.

Answer from: Quest

The answer would be quadratic trinomial

Answer from: Quest

1. 5/82.95% is better than 7/8

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There were 48 SIDS cases in King County, Washington, during the years 1974 and 1975. The birthweight...

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