Heights of students of class $X$ are given in the following frequency distribution. Find the modal height.

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Solution

Heights No. of students
$150 - 155$ $15$
$155 - 160$ $8$
$160 - 165$ $20$
$165 - 170$ $12$
$170 - 175$ $5$

In this case, no. of students is the frequency
highest frequency is $20$ i.e., for $160 - 165$
$∴$ The modal height class is $160 - 165$ .

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Similar questions

Heights of students of Class X are given in the following frequency distribution :
$\begin{matrix} Marks & 150 - 155 & 155 - 160 & 160 - 165 & 165 - 170 & 170 - 175 Number of students & 15 & 8 & 20 & 12 & 5 \end{matrix}$
Find the modal height.
Also, find the mean height. Compare and interpret the two measures of central tendency.

Q. For the following marks distribution of 5 students in an examination, match column-I with the datas given in column-II.

Class interval	0-10	10-20	20-30	30-40
No. of students	1	3	0	1

Here,

x_{k} =

lower limit of the modal class interval

h =

width of the class interval

f_{k} =

frequency of the modal class

f_{k - 1} =

frequency of the class proceeding the modal class

f k + 1 =

frequency of the class succeeding the modal class

Find

A, B, C, D

The modal class in the following frequency distribution is:

Heights of students of Class X are given in the foloowing frequency distribution:

Height (in cm)	150−155	155−160	160−165	165−170	170−175
Number of students	15	8	20	12	5

Find the modal height.
Also, find the mean height. Compare and interpret the two measures of central tendency. [CBSE 2014]

Consider the frequency distribution of the heights of 60 students of a class:

$\begin{matrix} H e i g h t (i n c m) & N o . o f . S t u d e n t s & C u m u l a t i v e F r e q u e n c y 150 - 155 & 16 & 16 155 - 160 & 12 & 28 160 - 165 & 9 & 37 165 - 170 & 7 & 44 170 - 175 & 10 & 54 175 - 180 & 6 & 60 \end{matrix}$

The sum of the lower limit of the modal class and the upper limit of the median class is :

(a) 310 (b) 315 (c) 320 (d) 330

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Heights of students of class X are given in the following frequency distribution. Find the modal height.

Heights No. of students150−155 15155−160 8160−165 20165−170 12170−175 5In this case, no. of students is the frequency highest frequency is 20 i.e., for 160−165∴ The modal height class is 160−165.

Heights of students of class $X$ are given in the following frequency distribution. Find the modal height.

Heights No. of students
$150 - 155$ $15$
$155 - 160$ $8$
$160 - 165$ $20$
$165 - 170$ $12$
$170 - 175$ $5$

In this case, no. of students is the frequency
highest frequency is $20$ i.e., for $160 - 165$
$∴$ The modal height class is $160 - 165$ .