Find the mean of each of the following frequency distributions-i Class interval- 0-6 6-12 12-18 18-24 24-30Frequency-6- 8 10 9 7 -

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Standard X

Mathematics

Finding Mean for Grouped Data When Class Intervals Are Given

Find the mean...

Question

Find the mean of each of the following frequency distributions :

Class interval: 0-6 6-12 12-18 18-24 24-30

Frequency: 6 8 10 9 7

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Solution

Let the assumed mean be A = 15 and h = 6.

We know that mean,

Now, we have.

Putting the values in the above formula, we get

Hence, the mean is 15.45.

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Similar questions

Q. Find the mean of the following frequency distribution:

Class interval:	0-6	6-12	12-18	18-24	24-30
Frequency:	$7$	$5$	$10$	$12$	$6$

Q. Calculate mean deviation from the median of the following data:

Class interval:	0-6	6-12	12-18	18-24	24-30
Frequency:	4	5	3	6	2

The median of the distribution given below is 14.4. Find the values of x and y, if the total frequency is 20.
Class interval: 0-6 6-12 12-18 18-24 24-30
Frequency: 4 x 5 y 1

Q. Consider the following frequency distribution:

\begin{matrix} Class: & 0 - 6 & 6 - 12 & 12 - 18 & 18 - 24 & 24 - 30 Frequency : & a & b & 12 & 9 & 5 \end{matrix}

If mean

= \frac{309}{22}

and median

= 14,

then the value

(a - b)^{2}

is equal to

Q. Prepare a less than ogive from the following data:

Class	:	0-6	6-12	12-18	18-24	24-30	30-36
Frequency	:	4	8	15	20	12	6

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Find the mean of each of the following frequency distributions : Class interval: 0-6 6-12 12-18 18-24 24-30 Frequency: 6 8 10 9 7

Let the assumed mean be A = 15 and h = 6. We know that mean, Now, we have. Putting the values in the above formula, we get Hence, the mean is 15.45.

Find the mean of each of the following frequency distributions :

Class interval: 0-6 6-12 12-18 18-24 24-30

Frequency: 6 8 10 9 7

Let the assumed mean be A = 15 and h = 6.

We know that mean,

Now, we have.

Putting the values in the above formula, we get

Hence, the mean is 15.45.