Question

The data below shows the grams of fat for a variety of snacks. Morris wants to calculate the standard error of the sample mean for this set of data. Snack Grams of Fat Snack 1 9 Snack 2 13 Snack 3 21 Snack 4 30 Snack 5 31 Snack 6 31 Snack 7 34 Snack 8 25 Snack 9 28 Snack 10 20 What is the standard error for this set of data

Answer 1

2.63

Explanation:

Answer 2

the standard error of data set is 2.628

Explanation:

Given the data in the question;

set;

x = 9, 13, 21, 30, 31, 31, 34, 25, 28, 20

To get the standard of Error for this data set, we use the formual

S.E = s / √n

First we determine the mean average;

Mean x' = ∑x / n = ( 9 + 13 + 21 + 30 + 31 + 31 + 34 + 25 + 28 + 20 ) / 10

x' = 242 / 10

Mean x' = 24.2

Next we find the standard deviation s:

x (x-x')²

9 231.04

13 125.44

21 10.24

30 33.64

31 46.24

31 46.24

34 96.04

25 0.64

28 14.44

20 17.64

Total ∑(x-x')² = 621.6

so Variance = ∑(x-x')² / (n-1) = 621.6 / ( 10 - 1 ) = 621.6 / 9

Variance = 69.0667

Standard deviation S = √Variance

Standard deviation S = √69.0667

Standard deviation S = 8.3106

So we substitute into our formula to get the standard of error;

S.E = 8.3106 / √10

S.E = 2.628

Therefore, the standard error of data set is 2.628