Find the mode
Marks 1-5 6-10 11-16 16-20 21-25
No. of Students 7 10 6 32 24

Open in App

Solution

$M a r k s$ $N o . o f s t u d e n t s$
$0.5 - 5.5$ $7$
$5.5 - 10.5$ $10$
$10.5 - 16..5$ $6$
$16.5 - 20.5$ $32$
$20.5 - 25.5$ $24$
Here, class $16.5 - 20.5$ contains maximum number of students.
$∴$ Modal class $= 16.5 - 20.5$
We have, $l = 16.5, f_{0} = 6, f_{1} = 32, f_{2} = 24$ and $h = 4$
$M o d e = l + \frac{f_{1} - f_{0}}{2 f_{1} - f_{0} - f_{2}} \times h$

$= 16.5 + \frac{32 - 6}{2 \times 32 - 6 - 24} \times 4$

$= 16.5 + 3.05$
$= 19.55$

Suggest Corrections

Similar questions

Q. The mode of the following distribution is

Class Interval:	1-5	6-10	11-15	16-20	21-25
Frequency:	4	7	10	8	6

Q. Calculate range and coefficient of range for the following distribution:

Class	:	1-5	6-10	11-15	16-20	21-25	26-30
Frequency	:	2	8	15	35	20	10

Q. Find the mean of the following data.

\begin{matrix} Class Intervals & 0 - 10 & 11 - 20 & 21 - 30 & 31 - 40 & 41 - 50 & 51 - 60 Frequency & 4 & 7 & 9 & 10 & 7 & 3 \end{matrix}

Q. The mode of the following frequency distribution is

Class	1- 10	11-20	21-30	31-40	41-50
$f_{i}$	5	7	8	6	4

Draw a histogram table for the following data: [4 MARKS]

$\begin{matrix} Class interval & 1 - 10 & 11 - 20 & 21 - 30 & 31 - 40 Frequency & 7 & 12 & 15 & 13 \end{matrix}$

Join BYJU'S Learning Program

$M a r k s$	$N o . o f s t u d e n t s$
$0.5 - 5.5$	$7$
$5.5 - 10.5$	$10$
$10.5 - 16..5$	$6$
$16.5 - 20.5$	$32$
$20.5 - 25.5$	$24$

Find the modeMarks1-56-1011-1616-2021-25No. of Students71063224

Marks No.ofstudents0.5−5.5 7 5.5−10.5 10 10.5−16..5 6 16.5−20.532 20.5−25.5 24 Here, class 16.5−20.5 contains maximum number of students.∴ Modal class =16.5−20.5We have, l=16.5,f0=6,f1=32,f2=24 and h=4Mode=l+f1−f02f1−f0−f2×h =16.5+32−62×32−6−24×4 =16.5+3.05 =19.55

Find the mode
Marks 1-5 6-10 11-16 16-20 21-25
No. of Students 7 10 6 32 24