Question

Calculate the mean of the following data by assumed mean method (E)

Class interval 5 –20 20 –35 35 –50 50 –65 65 –80

frequency 2 8 12 13 10
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Answer 1

Step-by-step explanation:

Given that:Calculate the mean of the following data by assumed mean method (E)

Class interval 5 –20 20 –35 35 –50 50 –65 65 –80

frequency 2 8 12 13 10

To find: Mean

Solution:

First draw the table

For that tabulate the given data

Assume Mean a= 42.5

$\begin{tabular}{|c|c|c|c|c|}\cline{1-5}Class\:Interval& Frequency(f_i)& Class\:Mark(x_i)&d_i=a-x_i&d_if_i\\\cline{1-5}5-20&2&12.5&-30&-60\\\cline{1-5}20-35&8&27.5&-15&-120\\\cline{1-5}35-50&12&42.5&0&0\\\cline{1-5}50-65&13&57.5&15&195\\\cline{1-5}65-80&10&72.5&30&300\\\cline{1-5}Total& 45&&&\Sigma\:d_i f_i=315\\\cline{1-5}\end{tabular}$

*Scroll screen to right to see the full table

$\boxed{Mean= a + \bigg( \frac{\Sigma\: x_if_i}{\Sigma \:f _i}\bigg)}$

$Mean= 42.5 + \bigg( \frac{315}{45}\bigg) \\ \\=42.5+7\\\\Mean=49.5$

Mean =49.5

Hope it helps you.

Answer 2

Answer:

Mean =49.5

Mean =49.5Hope it helps you.