Calculate the mean of the following distribution using step - deviation method- beginarray - -Whe0-10 -4Whline10-2086 Whline20-30 - 10 Whline30 - 40 - 20 Whline40-50 - 10 Whlineend array

The correct option is C 28.2[ Class Interval amp;Frequency(f_i) amp;x_i amp;u_i=x_i a/h amp;f_iu_i; 0 10 a ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

Step Deviation Method

Calculate the...

Question

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

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

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

24.5

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

20.2

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

28.2

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

Open in App

Solution

The correct option is D 28.2
$\begin{matrix} Class Interval & Frequency (f_{i}) & x_{i} & u_{i} = \frac{x_{i} - a}{h} & f_{i} u_{i} 0 - 10 & 4 & 5 & - 2 & - 8 10 - 20 & 6 & 15 & - 1 & - 6 20 - 30 & 10 & 25 = a & 0 & 0 30 - 40 & 20 & 35 & 1 & 10 40 - 50 & 10 & 45 & 2 & 20 \sum f_{i} = 50 & \sum f_{i} u_{i} = 16 \end{matrix}$

$∴ Mean = a + h \frac{\sum f_{i} u_{i}}{\sum f}$
$= 25 + 10 \times \frac{(16)}{50} = 25 + 3.2 = 28.2$

Suggest Corrections

Similar questions

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}

The given table shows the frequency according to the class intervals.

$\begin{matrix} Class Interval & Frequency 0 - 10 & 10 10 - 20 & 5 20 - 30 & 8 30 - 40 & 12 40 - 50 & 16 \end{matrix}$

Find the Median value using Step jump method.

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

Marks	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$
Number of Students	$10$	$9$	$25$	$30$	$16$	$10$

If the mean of the given data is 25, then find the value of p.

$\begin{matrix} Class interval & Frequency 0 - 10 & 10 10 - 20 & 9 20 - 30 & 8 30 - 40 & p 40 - 50 & 6 \end{matrix}$ [2 MARKS]

Q. Calculate mean with step Deviation method from the following data.

Marks	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$
No. of student	$4$	$6$	$10$	$20$	$10$

Join BYJU'S Learning Program

Calculate the mean of the following distribution using step - deviation method. Class IntervalFrequency0−10410−20620−301030−402040−5010

The correct option is D 28.2Class IntervalFrequency(fi)xiui=xi−ahfiui0−1045−2−810−20615−1−620−301025=a0030−40203511040−501045220 ∑fi=50 ∑fiui=16 ∴Mean=a+h∑fiui∑f =25+10×(16)50=25+3.2=28.2

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

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