Calculate the mode of the frequency distribution
Mark Above $25$ Above $35$ Above $45$ Above $55$ Above $65$ Above $75$
No. of students $63$ $49$ $42$ $38$ $23$ $12$

Open in App

Solution

$M a r k$ $N o . o f s t u d e n t s$
$25 - 35$ $63 - 49 = 14$
$35 - 45$ $49 - 42 = 7$
$45 - 55$ $42 - 38 = 4$
$55 - 65$ $38 - 23 = 15$
$65 - 75$ $23 - 12 = 11$
$75 - 85$ $12$
From above frequency table we can see, class $55 - 65$ has maximum number of frequency.
$∴$ Modal class $= 55 - 65$
$l = 55, f_{0} = 4, f_{1} = 15, f_{2} = 11$ and $h = 10$
$\Rightarrow$ $M o d e = l + \frac{f_{1} - f_{0}}{2 f_{1} - f_{0} - f_{2}} \times 10$

$= 55 + \frac{15 - 4}{2 \times 15 - 4 - 11} \times 10$

$= 55 + 0.66$
$= 55.66$

Suggest Corrections

Similar questions

Q. The following table shows the ages of the patients admitted in a hospital during a year:

Age (in years):	$5 - 15$	$15 - 25$	$25 - 35$	$35 - 45$	$45 - 55$	$55 - 65$
No. of students:	$6$	$11$	$21$	$23$	$14$	$5$

Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.

Q. Look at the frequency distribution table given below:

Class interval	35-45	45-55	55-65	65-75
Frequency	8	12	20	10

The median of the above distribution is
(a) 56.5
(b) 57.5
(c) 58.5
(d) 59

The following table shows the ages of the patients admitted in a hospital during a year.
Age (in years): 5-15 15-25 25-35 35-45 45-55 55-65
No. of students: 6 11 21 23 14 5
Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.

The following data gives marks obtained by students in an exam.

$\begin{matrix} M a r k s & N o . o f s t u d e n t s A b o v e 0 & 80 A b o v e 10 & 77 A b o v e 20 & 72 A b o v e 30 & 65 A b o v e 40 & 55 A b o v e 50 & 43 A b o v e 60 & 23 A b o v e 70 & 16 A b o v e 80 & 10 A b o v e 90 & 8 A b o v e 100 & 0 \end{matrix}$

(i) Convert to a regular distribution.

(ii) Find the mode. [3 MARKS]

The following table gives the marks scored by students in an exam.

Find the mean for the following data using assumed mean method.

Join BYJU'S Learning Program

Mark	Above $25$	Above $35$	Above $45$	Above $55$	Above $65$	Above $75$
No. of students	$63$	$49$	$42$	$38$	$23$	$12$

$M a r k$	$N o . o f s t u d e n t s$
$25 - 35$	$63 - 49 = 14$
$35 - 45$	$49 - 42 = 7$
$45 - 55$	$42 - 38 = 4$
$55 - 65$	$38 - 23 = 15$
$65 - 75$	$23 - 12 = 11$
$75 - 85$	$12$

Calculate the mode of the frequency distributionMarkAbove 25Above 35Above 45Above 55Above 65Above 75No. of students634942382312

Calculate the mode of the frequency distribution
Mark Above $25$ Above $35$ Above $45$ Above $55$ Above $65$ Above $75$
No. of students $63$ $49$ $42$ $38$ $23$ $12$