The mean x- of a grouped data is given by- f-ix-i- f-i- f-i-x-i- x-i-f-i- f-ix-i- x-f-

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Mean for Ungrouped Data

The mean x̅ o...

Question

The mean $¯ x$ of a grouped data is given by:

$\frac{\sum f_{i} x_{i}}{\sum f_{i}}$

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$\frac{\sum f_{i}}{x_{i}}$

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$\frac{\sum x_{i}}{f_{i}}$

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$\frac{\sum f_{i} x_{i}}{\sum x . f}$

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Solution

The correct option is A
$\frac{\sum f_{i} x_{i}}{\sum f_{i}}$

For grouped data, using the direct method first, we find the sum of the values of all the observations after multiplying them with their respective frequencies. Then we divide this result by the total number of observations (sum of all frequencies).

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Similar questions

Q. The mean of a discrete frequency distribution x_i / f_i, i = 1, 2, ......, n is given by

(a)

\frac{Σ f_{i} x_{i}}{Σ f_{i}}

(b)

\frac{1}{n} \sum_{i = 1}^{n} f_{i} x_{i}

(c)

\frac{\sum_{i = 1}^{n} f_{i} x_{i}}{\sum_{i = 1}^{n} x_{i}}

(d)

\frac{\sum_{i = 1}^{n} f_{i} x_{i}}{\sum_{1 = 1}^{n} i}

Q. Find the mean and variance for the data

$X_{i}$	92	93	97	98	102	104	109
$f_{i}$	3	2	3	2	6	3	3

Q. Find the mean and variance for the data

$X_{i}$	6	10	14	18	24	28	30
$f_{i}$	2	4	7	12	8	4	3

If $x_{i}$ are the mid-points of the class intervals of grouped data, $f_{i}$ are the corresponding frequencies and $¯ x$ is the mean, then $\sum f_{i} (x_{i} - ¯ x)$ is equal to ____.

Q. Question 3
If

x_{i}^{'} s

are the mid-points of the calss intervals of grouped data,

f_{i}^{'} s

are the corresponding frequencies and

¯ x

is the mean, then

\sum (f_{i} x_{i} - ¯ x)

is equal to
(a) 0
(b) -1
(c) 1
(d) 2

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The mean ¯x of a grouped data is given by:

The correct option is A ∑fixi∑fi For grouped data, using the direct method first, we find the sum of the values of all the observations after multiplying them with their respective frequencies. Then we divide this result by the total number of observations (sum of all frequencies).

The mean $¯ x$ of a grouped data is given by: