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Important Relations between Methods of Finding Mean

In the formul...

Question

In the formula, $x = \{A + \frac{\sum f_{i} d_{i}}{\sum f_{i}}\}$ for finding the mean of the grouped data, the d_i's are the deviations from A of
(a) lower limits of the classes
(b) upper limits of the classes
(c) midpoints of the classes
(d) none of these

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Solution

The _{$d_{i}$ 's} are the deviations from $A$ of (c) midpoints of the classes.

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Q. Question 1
In the formula

¯ x = a + \frac{\sum f_{i} d_{i}}{\sum f_{i}}

, for finding the mean of grouped data

d_{i}^{'} s

are deviation from a of
(a) lower limits of the classes
(b) upper limits of the classes
(c) mid-points of the classes
(d) frequencies of the class marks

Q. In the formula

\bar{X} = a + \frac{Σ f_{i} d_{i}}{Σ f_{i}}

, for finding the mean of grouped data

{d_{i}}^{'^{s}}

are derivations from

a

of
(a) lower limits of classes (b) upper limits ofclasses
(c) mid-points of classes (d) frequency of the class marks

Q. Question 22
For drawing a frequency polygon of a continuous frequency distribution, we plot the points whose ordinates are the frequencies of the respective classes and abcissae are, respectively:

A) Upper limits of the classes
B) Lower limits of the classes
C) Class marks of the classes
D) Upper limits of preceding classes

Statistical calculations in classified data are based on

(a) the actual values of observations

(b) the upper class limits

(c) the lower class limits

(d) the class midpoints

d_{i}

is the deviation of a class mark

y_{i}

from ‘a’ the assumed mean and

f_{i}

is the frequency, if

M_{g} = x + \frac{1}{\sum f_{i}} (\sum f_{i} d_{i})

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Important Relations between Methods of Finding Mean

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