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.

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

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

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=623.3918.

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a

his first public project he is asked to create a small scale drawing. the garden is a right triangle with base 25m and height 30m. are you trying to solve for the last side/hypotenuse? the irrational form of the answer would be 5\sqrt{61}