257

You visited us 257 times! Enjoying our articles? Unlock Full Access!

Relation between Mean of Deviations and Mean

The mean devi...

Question

The mean deviation from the mean for the set of observations; – 1, 0, 4 is:

less than 3

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

less than 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

greater than 2.5

No worries! We‘ve got your back. Try BYJU‘S free classes today!

greater than 4.9

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A less than 3
$¯ x = \frac{- 1 + 0 + 4}{3} = 1 ∴ M e a n D e v i a t i o n = \frac{1}{3} [| - 1 - 1 | + | 0 - 1 | + | 4 - 1 |] = 2$

Suggest Corrections

Similar questions

Find the mean deviation taking deviation from the mean for the given individual observation 10, 20, 30, 40, 50, 60, 70

State with reason whether the following statements are True or False:

(i) Sum of square of the deviations of items from their arithmetic mean is the maximum.

(ii) Standard Deviation is based on all values.

(iii) For a given set of observations, standard deviation is always more than mean deviation from mean.

n

x_{1}, x_{2}, . . . . . x_{n}

c

\frac{1}{n} n \sum i = 1 {(x_{i} - c)}^{2}

- 2

2

18

10

Join BYJU'S Learning Program