Byju's Answer

Standard IX

Mathematics

Finding MeanÂ for Grouped Data When Class Intervals Are Given

Which of the ...

Question

Which of the following statements are true?
(i) Mean cannot be calculated for only two numbers.
(ii) There are three methods of finding the mean of grouped data.

(i)

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(ii)

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(i) and (ii)

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Neither (i) nor (ii)

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Solution

The correct option is B (ii)
Mean can be calculated for any number of data except one. The mean of a raw data is their simple average.
For grouped data, there are three methods of calculating the mean:
i. Direct method
ii. Assumed mean method
And, iii. Step deviation method.

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Similar questions

Q. There are three methods to find the mean of grouped data, they are the direct method, step deviation method and assumed mean method.

Q. _________, Mean method and Assumed Mean method, these are the three methods to find the standard deviation of grouped data.

Q. Can we use assumed mean method to find the mean of grouped data when its class interval are irregular.If not why?

Q. In the following question, the symbols

@, ©, %, $

and

⋆

are used with the following meaning as illustrated.

^{'} P © Q^{'}

means 'P is not greater than Q'.

^{'} P ⋆ Q^{'}

means 'P is not smaller than Q'.

^{'} P % Q^{'}

means 'P is neither greater than nor equal to Q'.

^{'} P $ Q^{'}

means 'P is neither smaller than nor greater than Q'.

^{'} P @ Q^{'}

means 'P is neither greater than nor smaller to Q'.
In each of the following questions assuming the given statements to be true, find out which of the three conclusions I, II and III given is/are definitely true.
©

\Rightarrow\leq

, @

\Rightarrow

⋆ \Rightarrow\geq

, %

\Rightarrow

$

\Rightarrow

>
Statements

Z © K

K % E

E @ R

Conclusions
I.

R $ K

II.

Z % E

III.

R $ Z

Consider a grouped data distribution for which the mean is found by assumed mean method.

P = sum of the products of ‘d’ and frequency for each class interval

Here $d_{i} = x_{i} - A$

Q = total number of observations

A = assumed mean

M = mean of given grouped data distribution

Which of the following statements is true?

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Which of the following statements are true? (i) Mean cannot be calculated for only two numbers. (ii) There are three methods of finding the mean of grouped data.

The correct option is B (ii)Mean can be calculated for any number of data except one. The mean of a raw data is their simple average. For grouped data, there are three methods of calculating the mean: i. Direct method ii. Assumed mean method And, iii. Step deviation method.

Which of the following statements are true?
(i) Mean cannot be calculated for only two numbers.
(ii) There are three methods of finding the mean of grouped data.

The correct option is B (ii)
Mean can be calculated for any number of data except one. The mean of a raw data is their simple average.
For grouped data, there are three methods of calculating the mean:
i. Direct method
ii. Assumed mean method
And, iii. Step deviation method.