Find the mode of the following data beginarray - c - c - c - hline Class - Frequency IINhine 0-100 - 7Whline100-200 - 11Thline200-300 - 15Whline 300-400 - 9Whine400-500 - 8Whineend array A- 220B- 240C- 260D- 280

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

Byju's Answer

Standard XI

Statistics

Mode of Continuous Series

Find the mode...

Question

Find the mode of the following data

$\begin{matrix} C l a s s & F r e q u e n c y 0 - 100 & 7 100 - 200 & 11 200 - 300 & 15 300 - 400 & 9 400 - 500 & 8 \end{matrix}$

220

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

240

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

260

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

280

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

Open in App

Solution

The correct option is B
240

The grouping table and the analysis table
for the given distribution are shown below.

From the analysis table, the class
200-300 has the maximum score.
Hence, 200 - 300 is the modal class.

Here, $L = 60; D_{1} = 15 - 11 = 4; D_{2} = 15 - 9 = 6; h = 100$
$M o d e = L + \frac{D_{1}}{D_{1} + D_{2}} \times h = 200 + \frac{4}{4 + 6} \times 100 = 240$

Suggest Corrections

Similar questions

Find the mode of the following data.

$\begin{matrix} C l a s s i n t e r v a l & 0 - 100 & 100 - 200 & 200 - 300 & 300 - 400 & 400 - 500 F r e q u e n c y & 7 & 11 & 15 & 9 & 8 \end{matrix}$

___

Find the mode of the following data.

$\begin{matrix} C l a s s i n t e r v a l & 0 - 100 & 100 - 200 & 200 - 300 & 300 - 400 & 400 - 500 F r e q u e n c y & 7 & 11 & 15 & 9 & 8 \end{matrix}$

___

Find the median of the following data.

$\begin{matrix} C l a s s i n t e r v a l & 0 - 100 & 100 - 200 & 200 - 300 & 300 - 400 & 400 - 500 F r e q u e n c y & 7 & 11 & 15 & 9 & 8 \end{matrix}$

Find the mode of the following data. $\begin{matrix} Class interval & 0 - 100 & 100 - 200 & 200 - 300 & 300 - 400 & 400 - 500 Frequency & 7 & 11 & 15 & 9 & 8 \end{matrix}$

Find the mean of the step deviations:
$\begin{matrix} C l a s s i n t e r v a l & F r e q u e n c y (f_{i}) & C l a s s m a r k (x_{i}) & d_{i} = x_{i} - a & u_{i} = \frac{d_{i}}{h} 0 - 100 & 40 & 50 & - 200 & - 2 100 - 200 & 39 & 150 & - 100 & - 1 200 - 300 & 34 & 250 & 0 & 0 300 - 400 & 30 & 350 & 100 & 1 400 - 500 & 45 & 450 & 200 & 2 \end{matrix}$

Join BYJU'S Learning Program

Find the mode of the following data ClassFrequency0−1007100−20011200−30015300−4009400−5008

The correct option is B 240 The grouping table and the analysis table for the given distribution are shown below. From the analysis table, the class 200-300 has the maximum score. Hence, 200 - 300 is the modal class. Here, L=60;D1=15−11=4;D2=15−9=6;h=100 Mode=L+D1D1+D2×h=200+44+6×100=240

Find the mode of the following data

$\begin{matrix} C l a s s & F r e q u e n c y 0 - 100 & 7 100 - 200 & 11 200 - 300 & 15 300 - 400 & 9 400 - 500 & 8 \end{matrix}$