Question

15. [0.45/1.83 Points] DETAILS MY NOTES Consider the sample data. x: 24.4 32.1 57 68.5 72.2 91.1 (a) Calculate $\sum x$. $\sum x$ = 345.3 Calculate $\sum x^2$. $\sum x^2$ = 25176.07 (b) Use the results of part (a) and the appropriate computation formulas to compute the sample variance $s^2$ and sample standard deviation $s$. $s^2$ = 1066.678 $s$ = 32.65

          15. [0.45/1.83 Points]
DETAILS
MY NOTES
Consider the sample data.
x: 24.4 32.1 57 68.5 72.2 91.1
(a) Calculate $\sum x$.
$\sum x$ = 345.3
Calculate $\sum x^2$.
$\sum x^2$ = 25176.07
(b) Use the results of part (a) and the appropriate computation formulas to compute the sample variance $s^2$ and sample standard deviation $s$.
$s^2$ = 1066.678
$s$ = 32.65

15. [0.45/1.83 Points]
DETAILS
MY NOTES
Consider the sample data.
x: 24.4 32.1 57 68.5 72.2 91.1
(a) Calculate ∑ x.
∑ x = 345.3
Calculate ∑ x^2.
∑ x^2 = 25176.07
(b) Use the results of part (a) and the appropriate computation formulas to compute the sample variance s^2 and sample standard deviation s.
s^2 = 1066.678
s = 32.65

Added by Benjamin H.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Tim Thornhill

09/26/2023

Step 1

Step 1: The sample variance is given by: $$s^2 = \frac{\sum_{i=1}^n (x_i - \bar{x})^2}{n-1}$$ where $\bar{x}$ is the sample mean. Show more…

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15. [0.45/1.83 Points] DETAILS MY NOTES Consider the sample data. x: 24.4 32.1 57 68.5 72.2 91.1 (a) Calculate Σx. Σx = 345.3 Calculate Σx². Σx² = 25176.07 PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER (b) Use the results of part (a) and the appropriate computation formulas to compute the sample variance s² and sample standard deviation s. s² = 1066.678 s = 32.65