If the mean of the following data is 59, find the missing frequency.

1.	If the mean of the following data is 59, find the missing frequency. Class 10-30 30-50 50-70 70-90 90-110Frequency 10 7 5 X 12
Answer» ong>Step-by-step explanation: Given:Mean of the following data is 59. $\begin{array}{\|c\|c\|}\cline{1-2} Class& Frequency\\\cline{1-2} 10-30& 10\\\cline{1-2} 30-50& 7\\\cline{1-2} 50-70& 5\\\cline{1-2} 70-90& X\\\cline{1-2} 90-110& 12\\\cline{1-2}\end{array}$ To find: X Solution: We KNOW that $Mean = \frac{ \Sigma \: x_if_i}{ \Sigma \: f_i} \\$ Find class mark for each class and put the VALUES in the formula,in order to find X $\begin{array}{\|c\|c\|c\|c\|}\cline{1-4} Class& Frequency& x_i&x_if_i\\\cline{1-4} 10-30& 10&20&200\\\cline{1-4} 30-50& 7& 40&280\\\cline{1-4} 50-70& 5& 60&300\\\cline{1-4} 70-90& X& 80&80X\\\cline{1-4} 90-110& 12& 100&1200\\\cline{1-4}Total&34+X&&1980+80X\\\cline{1-4}\end{array}$ Put the values $59 = \frac{1980 + 80X}{34 + X} \\ \\ cross \: multiply \\ \\ 59(34 + X) = 1980 + 80X\\ \\ 59 \times 34 + 59X = 1980 + 80X \\ \\ 59X - 80X = 1980 -2006 \\ \\ - 21X = -26 \\ \\ 21X =26 \\ \\ X =1.24 \\ \\$ Thus, Value of missing frequency is 1.24 Which is not possible. Frequency should be positive integer. *NOTE: Some data is incorrect in this question.To show the METHOD question is solve here. It is advisable to upload correct data. Hope it helps you. To learn more on brainly: 1) the literacy rates of 40 cities are given in the following table.If it is given that mean literacy rate is 63.5 then FIN... brainly.in/question/8025411

If the mean of the following data is 59, find the missing frequency. Class 10-30 30-50 50-70 70-90 90-110Frequency 10 7 5 X 12

Answer»

ong>Step-by-step explanation:

Given:Mean of the following data is 59.

$\begin{array}{|c|c|}\cline{1-2} Class& Frequency\\\cline{1-2} 10-30& 10\\\cline{1-2} 30-50& 7\\\cline{1-2} 50-70& 5\\\cline{1-2} 70-90& X\\\cline{1-2} 90-110& 12\\\cline{1-2}\end{array}$

To find: X

Solution:

We KNOW that

$Mean = \frac{ \Sigma \: x_if_i}{ \Sigma \: f_i} \\$

Find class mark for each class and put the VALUES in the formula,in order to find X

$\begin{array}{|c|c|c|c|}\cline{1-4} Class& Frequency& x_i&x_if_i\\\cline{1-4} 10-30& 10&20&200\\\cline{1-4} 30-50& 7& 40&280\\\cline{1-4} 50-70& 5& 60&300\\\cline{1-4} 70-90& X& 80&80X\\\cline{1-4} 90-110& 12& 100&1200\\\cline{1-4}Total&34+X&&1980+80X\\\cline{1-4}\end{array}$

Put the values

$59 = \frac{1980 + 80X}{34 + X} \\ \\ cross \: multiply \\ \\ 59(34 + X) = 1980 + 80X\\ \\ 59 \times 34 + 59X = 1980 + 80X \\ \\ 59X - 80X = 1980 -2006 \\ \\ - 21X = -26 \\ \\ 21X =26 \\ \\ X =1.24 \\ \\$

Thus,

Value of missing frequency is 1.24

Which is not possible.

Frequency should be positive integer.

*NOTE: Some data is incorrect in this question.To show the METHOD question is solve here.

It is advisable to upload correct data.

Hope it helps you.

To learn more on brainly:

1) the literacy rates of 40 cities are given in the following table.If it is given that mean literacy rate is 63.5 then FIN...

brainly.in/question/8025411