Mathematics, 14.05.2021 05:10 NawnyMonster

Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the -score for each of the five observations (to 2 decimals). Enter negative values as negative numbers. Observed value -score

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Answer from: wowihavefun

Hence, the score for each of the five observations are -1.25,1.25,-0.75,0.50,0.25

Given :

Sample with data values of x_i 10,20,12,17 and

Sample size n=5

To find:

Compute the score for each of the five observations.

Explanation :

$\because$ Sample mean $\bar{x}=\frac{\sum x_i}{n}$

$\Rightarrow \bar{x}=\frac{10+20+12+17+16}{5}=\frac{75}{5}$

$\Rightarrow \bar{x}=15$

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

$\Rightarrow \sigma=\sqrt{\frac{(10-15)^2+(20-15)^2+(12-15)^2+(17-15)^2+(16-15)^2}{5-1}}$

$\Rightarrow \sigma=\sqrt{\frac{(-5)^2+(5)^2+(-3)^2+(2)^2+(1)^2}{4}}$

$\Rightarrow \sigma=\sqrt{\frac{25+25+9+4+1}{4}}$

$\Rightarrow \sigma=\sqrt{\frac{64}{4}} =\sqrt{16}$

$\Rightarrow \sigma=4$

$\because$ The score of the observations is $\frac{x-\bar{x}}{\sigma}$ .

So, when (x=10), $Z=\frac{10-15}{4}=-1.25$

when (x=20), $Z=\frac{20-15}{4}=1.25$

when (x=12), $Z=\frac{12-15}{4}=-0.75$

when (x=17}, $Z=\frac{17-15}{4}=0.50$

when (x=16) $Z=\frac{16-15}{4}=0.25$

Answer from: Quest

Ithink the answer is b i hope it my friend message me if i’m wrong and i’ll change my answer and fix it for you

Answer from: Quest

the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

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Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the -score for each of the fiv...