Calculate the mean deviation about mean for the following distrib… - Vidyadip

Question

Calculate the mean deviation about mean for the following distribution:

Class interval	0-4	4-8	8-12	12-16	16-20
Frequency	4	6	8	5	2

✓

Answer

Classes	f_i	x_i	f_ix_i	\|x_i- 9.2\|	f_i\|x_i - 9.2\|
0-4	4	2	8	7.2	28.8
4-8	6	6	36	3.2	19.2
8-12	8	10	80	0.8	6.4
12-16	5	14	70	4.8	24.0
16-20	2	18	36	8.8	17.6
	N = 25		Total = 230		Total = 96.0

$\text{Mean}=\frac{230}{25}=9.2$

$\text{M.D}=\frac{96}{25}=3.84$

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 "5 Marks Questions" from Statistics→Statistics — all question types→MATHS STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

Differentiate the functions with respect to 'x'.
$\frac{\text{ax}+\text{b}}{\text{cx}+\text{d}}$

A box contains 10 red marbles, 20 blue marbles and 30 green marbles. 5 marbles are drawn at random. from the box, what is the probability that:

All are blue?
At least one is green?

Find the equation to the ellipse whose foci are (-4, 0), and (-4, 0), eccentricity = $\frac{1}{3}.$

Prove the following by the principle of mathematical induction:
$\text{a}+\text{ar}+\text{ar}^2+...+\text{ar}^\text{n-1}=\text{a}\Big(\frac{\text{r}^\text{n}-1}{\text{r}-1}\Big),\text{r}\neq1$

Find the equation of the circle which circumscribes the triangle formed by the lines
y = x + 2, 3y = 4x and 2y = 3x.

Reduce each of the following expressions to the sine and cosin of a single expression:
$\cos\text{x}-\sin\text{x}$

In each of the followin find the equation of the hyperbola satisying the given conditions:

vertices $(0, \pm3)$, foci $(0, \pm5)$ [NCERT]

Find the distance from the eye at which a coin of 2cm diameter should be held so as to conceal the full moon whose angular diameter is 31'.

If A and B are mutually exclusive events such that P(A) = 0.35 and P(B) = 0.45, find:

$\text{P}(\text{A}\cup\text{B})$
$\text{P}({\text{A}}\cap{\text{B}})$
$\text{P}({\text{A}}\cap\overline{\text{B}})$
$\text{P}(\overline{\text{A}}\cap\overline{\text{B}})$

Find the mean deviation from the mean for the following data:

classes	95-105	105-115	115-125	125-135	135-145	145-155
Frequencies	9	13	16	26	30	12