Question
Find the mean variance and standard deviation for the following data:
$2, 4, 5, 6, 8, 17.$
$2, 4, 5, 6, 8, 17.$
✓
Answer
|
$x$
|
$d = (x -$ Mean$)$
|
$d^2$
|
|
$2$
|
$-5$
|
$25$
|
|
$4$
|
$-3$
|
$9$
|
|
$5$
|
$-2$
|
$4$
|
|
$6$
|
$-1$
|
$1$
|
|
$8$
|
$1$
|
$1$
|
|
$17$
|
$10$
|
$100$
|
|
$42$
|
|
$140$
|
$\text{var}(\text{x})=\frac{1}{\text{n}}\Big\{\sum(\text{x}_\text{i}-\overline{\text{x}})^2\Big\}=\frac{1}{6}\big\{140\big\}=23.33$
$\text{S.D}(\text{x})=\sqrt{\text{var}(\text{x})}=\sqrt{23.33}=4.8$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
We wish to select 6 persons from 8 but if the person A is chosen, then B must be chosen. In how many ways can the selection be made?
How many four-digit numbers can be formed with the digits 3, 5, 7, 8, 9 which are greater than 8000, if repetition of digits is not allowed?
A cube of side 5 has one vertex at the point(1, 0, -1) and the three edge from this vertex are, respectively, parallel to the negative x and y axes and positive z-axis. Find the coordinates of the other vertices of the cube.
$\text{b}(\text{c}\cos\text{A}-\text{a}\cos\text{C})=\text{c}^2-\text{a}^2$
→A question paper has two sections. Section I has 5 questions and section II has 6 questions. A student must answer at least two questions from each section among 6 questions he answers. How many different choices does the student have in choosing questions?
Test the continuity of the following functions at the points or intervals indicated against them :
$f(x)=\frac{x^2+8 x-20}{2 x^2-9 x+10} \quad$ for $0$
$=12, \text { for } x=2$
$=\frac{2-2 x-x^2}{x-4} \quad \text { for } 3 \leq x<4$
at $x=2$
→$f(x)=\frac{x^2+8 x-20}{2 x^2-9 x+10} \quad$ for $0$
$=12, \text { for } x=2$
$=\frac{2-2 x-x^2}{x-4} \quad \text { for } 3 \leq x<4$
at $x=2$
Compute variance and standard deviation for the following data:
Find the total number of ways in which six $'+'$ and four $'−'$ signs can be arranged in a line such that no two '−' signs occur together.
→If ${^\text{2n}}\text{C}_{\text{3}}:{^\text{n}}\text{C}_{\text{2}}=44:3,$ find n.
→Prove that:
$\cos4\text{x}-\cos4\alpha=8(\cos\text{x}-\cos\alpha)(\cos\text{x}+\cos\alpha)\$\cos\text{x}+\sin\alpha)(\cos\text{x}-\sin\alpha)$
→$\cos4\text{x}-\cos4\alpha=8(\cos\text{x}-\cos\alpha)(\cos\text{x}+\cos\alpha)\$\cos\text{x}+\sin\alpha)(\cos\text{x}-\sin\alpha)$