Answer:
What is the sample variance of bottle weight 2.33
Step-by-step explanation:
First find the mean. The mean of the bottle weight is obtained by taking the ratio of the sum of ages and total number of ages.
Mean = (4+2+5+4+5+2+6) / 7
= 28 / 7
= 4
Sample Variance = [tex]\frac{\left[\begin{array}{ccc}(4-4)^{2} +(2-4)^{2} +\\(5-4)^{2} + (4-4)^{2} +\\(5-4)^{2} + (2-4)^{2} +\\(6-4)^{2}\end{array}\right]}{7-1}[/tex]
=[tex]\frac{0+4+1+0+1+4+4}{6}[/tex]
= 2.33
Answer:
The sample variance of bottle weight is 2.33.
Explanation:
Small bottles and their weights (in grams) = 4, 2, 5, 4, 5, 2, and 6.
Sample variance of bottle weight = ?
Step 1:
From the information given, a sample of small bottles and their contents has the following weights in grams 4,2,5,4,5,2, and 6.
The mean is,
[tex]Mean (x) = \frac{4+2+5+4+5+2+6}{7} \\[/tex]
[tex]=\frac{28}{7}[/tex]
[tex]=4[/tex]
Step 2:
The sample variance of bottle weight is obtained below:
[tex]\text { Variance }=\frac{\left[\begin{array}{l}(4-4)^{2}+(2-4)^{2}+ \\(5-4)^{2}+(4-4)^{2}+ \\(5-4)^{2}+(2-4)^{2}+ \\(6-4)^{2}\end{array}\right]}{(7-1)}[/tex]
[tex]=\frac{[0+4+1+0+1+4+4]}{6}[/tex]
[tex]=\frac{14}{6}[/tex]
[tex]=2.33[/tex]
Thus, the sample variance of bottle weight is 2.33
To learn more about sample variance, refer:
