Question

question 41 pts the following are the ages of a sample of students: 14, 7, 8, 5, 6, 10, 13, 9 a. find the sample mean.b. find the sample standard deviation.

Answer 1

Given:-

Ages of sample students: 14, 7, 8, 5, 6, 10, 13, 9

Sample mean:-

The sample mean is a statistic obtained by calculating the arithmetic mean of the values ​​of the variables in the sample.

Formula=
`(Sum of Observations)/(Number of Observations)`

Here,

=
`(14+7+8+5+6+10+13+9)/(8)`

=
`(72)/(8)`

=9

So, sample mean is 9.

Sample standard deviation:-

If you've got got a population, take limitless samples of n size, and plot their manner in a histogram, you get a possibility distribution. That possibility distribution is what we name the sampling distribution of the suggest, and prefer every other distribution, it has its personal suggest and well known deviation.

Formula =
`(sigma)/(rootover of n)`

sigma is standard deviation.

sigma= √
`(summation of ( X- sample mean)^(2) )/(n-1)`