Calculate the mean of the following distribution using step - deviation method- Class Interval Frequency- 30 - 40 10- 40 - 50 6- 50 -60 8- 60-70 12- 70-80 5- 80 - 90 9- -

[ Class Interval amp;Frequency(f_i) amp;x_i amp;u_i=x_i a/h amp;f_iu_i; 30 40 amp;10 amp;35 ...

You visited us 46 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Mathematics

Mean of Grouped Frequency Distribution by Assumed Mean Method

Calculate the...

Question

Calculate the mean of the following distribution using step - deviation method.

$\begin{matrix} Class Interval & Frequency 30 - 40 & 10 40 - 50 & 6 50 - 60 & 8 60 - 70 & 12 70 - 80 & 5 80 - 90 & 9 \end{matrix}$

59.6

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

58.6

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A 59.6
$\begin{matrix} Class Interval & Frequency (f_{i}) & x_{i} & u_{i} = \frac{x_{i} - a}{h} & f_{i} u_{i} 30 - 40 & 10 & 35 & - 3 & - 30 40 - 50 & 6 & 45 & - 2 & - 12 50 - 60 & 8 & 55 & - 1 & - 8 60 - 70 & 12 & 65 = a & 0 & 0 70 - 80 & 5 & 75 & 1 & 5 80 - 90 & 9 & 85 & 2 & 18 \sum f_{i} = 50 & \sum f_{i} u_{i} = - 27 \end{matrix}$

$∴ Mean = a + h \frac{\sum f_{i} u_{i}}{\sum f}$
$= 65 + 10 \times \frac{(- 27)}{50} = 65 - 5.4 = 59.6$

Suggest Corrections

Similar questions

Q. Calculate the mean of the following distribution using step - deviation method.

\begin{matrix} Class Interval & Frequency 0 - 10 & 4 10 - 20 & 6 20 - 30 & 10 30 - 40 & 20 40 - 50 & 10 \end{matrix}

Using step - deviation method, calculate the mean marks of the following distribution.

$\begin{matrix} C l a s s i n t e r v a l & F r e q u e n c y 50 - 55 & 5 55 - 60 & 20 60 - 65 & 10 65 - 70 & 10 70 - 75 & 9 75 - 80 & 6 80 - 85 & 12 85 - 90 & 8 \end{matrix}$

Q. Find the mean of following frequency distribution using step deviation method.

Q. Calculate the mean of the following distribution using step - deviation method.

\begin{matrix} Class Interval & Frequency 30 - 40 & 10 40 - 50 & 6 50 - 60 & 8 60 - 70 & 12 70 - 80 & 5 80 - 90 & 9 \end{matrix}

Find the mean of the data given in the table using step - deviation method.
$\begin{matrix} Class Interval & Frequency 0 - 10 & 10 10 - 20 & 12 20 - 30 & 7 30 - 40 & 6 40 - 50 & 5 50 - 60 & 8 \end{matrix}$

Join BYJU'S Learning Program

Calculate the mean of the following distribution using step - deviation method. Class IntervalFrequency30−401040−50650−60860−701270−80580−909

The correct option is A 59.6Class IntervalFrequency(fi)xiui=xi−ahfiui30−401035−3−3040−50645−2−1250−60855−1−860−701265=a0070−805751580−90985218 ∑fi=50 ∑fiui=−27 ∴Mean=a+h∑fiui∑f =65+10×(−27)50=65−5.4=59.6

Calculate the mean of the following distribution using step - deviation method.

$\begin{matrix} Class Interval & Frequency 30 - 40 & 10 40 - 50 & 6 50 - 60 & 8 60 - 70 & 12 70 - 80 & 5 80 - 90 & 9 \end{matrix}$