Find the mean deviation about the mean for the data: 4, 7, 8, 9, … - Vidyadip

Question

Find the mean deviation about the mean for the data: $4, 7, 8, 9, 10, 12, 13, 17.$

✓

Answer

Mean of the given data is
$\bar x = \frac{{4 + 7 + 8 + 9 + 10 + 12 + 13 + 17}}{8} = \frac{{80}}{8}$ = 10

$x_i$	$\left\| {{x_1} - \bar x} \right\|$
4	6
7	3
8	2
9	1
10	0
12	2
13	3
17	7
Total	24

M.D. about mean = $\frac{1}{n}\sum\limits_{i = 1}^n {\left| {{x_i} - \bar x} \right|} $
= $\frac{1}{8} \times$ 24 = 3

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "(Each question 3 marks)" from STATISTICS→STATISTICS — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

If $^nC_p = ^nC_p Find ^{12}C_n$.

In how many ways can three jobs I, II and III be assigned to three persons A, B and C if one person is assigned only one job and all are capable of doing each job?

Show that the diagonals of the parallelogram whose sides are lx + my + n = 0, lx + my + n' = 0, mx + ly + n = 0 and mx + ly + n' = 0 include an angle $\frac{\pi}{2}.$

Find the equation to the ellipse whose centre is (-2, 3) and semi-axis are 3 and 2 when major axis is Parallel to y-axis.

How many different numbers, greater than 50000 can be formed with the digits 0, 1, 1, 5, 9.

Let A = {x, y, z} and B = {a, b}. Find the total number of relations from A into B.

$2(\text{bc}\cos\text{A}+\text{ca}\cos\text{B}+\text{ab}\cos\text{C})=\text{a}^2+\text{b}^2+\text{c}^2$

Evaluate the following limit: $\lim\limits_{\text{x}\rightarrow0}\frac{\text{x}\tan\text{x}}{1-\cos\text{x}}$

Find the $13^{th}$ term in the expansion of ${\left[ {9x - \frac{1}{{3\sqrt x }}} \right]^{18}},x \ne 0$.

Find the angle between X-axis and the line joining the points (3, -1) and (4, -2).