A frequency distribution table for the production of oranges of some farm owners is given below. Find the mean production of oranges by 'assumed mean' method.

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Q. Five bad oranges are accidently mixed with 20 good ones. If four oranges are drawn one by one successively with replacement, then find the probability distribution of number of bad oranges drawn. Hence find the mean and variance of the distribution.

Q. A frequency distribution table for the production of oranges of some farm owners is given below. Find the mean production of oranges by 'assumed mean' method.

Production (Thousand rupees)	25-30	30-35	35-40	40-45	45-50
No. of farm owners	20	25	15	10	10

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?

Find the mean of the following frequency distribution using the assumed mean method.

Using the assumed - mean method, find the mean height of the plants from the following frequency-distribution table:

$\begin{matrix} {Height (in cm) x}_{i} & 60 & 64 & 68 & 72 & 76 {Number of plants f}_{i} & 5 & 16 & 40 & 30 & 9 \end{matrix}$
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