The standard deviation of the numbers 22, 26, | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Given numbers: $22, 26, 28, 20, 24, 30$ Mean $\bar{x} = \frac{22+26+28+20+24+30}{6} = \frac{150}{6} = 25$ Now,calculate $(x_i - \bar{x})^2$: $(22-

Vedclass · Accepted Answer

$3.42$

Vedclass · Answer

(D) Given numbers: $22, 26, 28, 20, 24, 30$ Mean $\bar{x} = \frac{22+26+28+20+24+30}{6} = \frac{150}{6} = 25$ Now,calculate $(x_i - \bar{x})^2$: $(22-25)^2 = 9$ $(26-25)^2 = 1$ $(28-25)^2 = 9$ $(20-25)^2 = 25$ $(24-25)^2 = 1$ $(30-25)^2 = 25$ Sum of squares $\Sigma(x_i - \bar{x})^2 = 9 + 1 + 9 + 25 + 1 + 25 = 70$ Standard Deviation $SD = \sqrt{\frac{\Sigma(x_i - \bar{x})^2}{n}} = \sqrt{\frac{70}{6}} = \sqrt{11.666...} \approx 3.4156 \approx 3.42$

The standard deviation of the numbers $22, 26, 28, 20, 24, 30$ is

Similar Questions

Which of the following is the strongest $o-p$ directing group?

If the position vectors of $A, B, C, D$ are $\hat{i}+2\hat{j}+2\hat{k}, 2\hat{i}-\hat{j}, \hat{i}+\hat{j}+3\hat{k}$ and $4\hat{j}+5\hat{k}$ respectively,then the quadrilateral $ABCD$ is a

The correct order of decreasing third ionisation enthalpy of $Ti, V, Cr, Mn$ is

Which group of plants was the first to exist on Earth?

The intercepts on the $x$-axis made by the tangents to the curve $y = \int_0^x |t| dt, x \in R$ which are parallel to the line $y = 2x$ are equal to:

Vedclass Test Series

Exam Paper Generator

Online Exam Module