The formula Sabine should use for calculating the variance and standard deviation for the random sample of bamboo stalks are,
[tex]s^2=\dfrac{(x_1-\overline x)^2(x_2-\overline x)^2...(x_n-\overline x)^2}{n-1}[/tex]
[tex]s=\sqrt{\dfrac{(x_1-\overline x)^2(x_2-\overline x)^2...(x_n-\overline x)^2}{n-1}}[/tex]
The variance of the data is the measure of average level by which every point is differed from the mean.
It can be calculated as,
[tex]s^2=\dfrac{(x_1-\overline x)^2(x_2-\overline x)^2...(x_n-\overline x)^2}{n-1}[/tex]
The standard deviation of the data is the half of the difference of the highest value and mean of the data set.
It can be calculated as,
[tex]s=\sqrt{\dfrac{(x_1-\overline x)^2(x_2-\overline x)^2...(x_n-\overline x)^2}{n-1}}[/tex]
Sabine records the daily heights of a random sample of bamboo stalks, in inches.
They are: 20, 19, 17, 16, 18, 15, 20, 21
For this data Sabine wants to calculate the variance and standard deviation, which can be done using the above formula.
Hence, the formula Sabine should use for variance is,
[tex]s^2=\dfrac{(x_1-\overline x)^2(x_2-\overline x)^2...(x_n-\overline x)^2}{n-1}[/tex]
The formula should Sabine use for standard deviation,
[tex]s=\sqrt{\dfrac{(x_1-\overline x)^2(x_2-\overline x)^2...(x_n-\overline x)^2}{n-1}}[/tex]
Learn more about the variance and standard deviation here;
https://brainly.com/question/15858152
Answer:
First Part: A and B
Second Part: 4.5 and 2.12
Step-by-step explanation:
edge 2022
