The following is the distribution of height of students of a certain class in a certain city-Height in cms-160-162 163-16511 166-1681 0 169-171 172-174 0 13 1No- of students-15 118 142 127 18Find the median height-

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Mathematics

Median

The following...

Question

The following is the distribution of height of students of a certain class in a certain city:

Height (in cms): 160−162 163−165 166−168 169−171 172−174

No. of students: 15 118 142 127 18

Find the median height.

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Solution

First we prepare the following cummulative table to compute the median.

Now,

∴

Thus, the cumulative frequency just greater than 210 is 275 and the corresponding class is .

Therefore, is the median class.

We know that,

Hence, the median height is approximately 167.1 cm.

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Similar questions

Q. The following is the distribution of the height of students of a certain class in a certain city:

Height (in cms):	160-162	163-165	166-168	169-171	172-174
No. of students:	$15$	$118$	$142$	$127$	$18$

Find the average height of the maximum number of students.

The following is the distribution of height of students of a certain class in a certain city:
Height (in cms): 160-162 163-165 166-168 169-171 172-174
No. of students: 15 118 142 127 18
Find the average height of maximum number of students.

Q. Find the median for the following frequency distribution

Height (in $c m$ )	$160 - 162$	$163 - 165$	$166 - 168$	$169 - 171$	$172 - 174$
Frequency	$15$	$117$	$136$	$110$	$14$

Q. Find the median for the following frequency distribution.

Class Intervals	$160 - 162$	$163 - 165$	$166 - 168$	$169 - 171$	$172 - 174$
frequency	$15$	$117$	$136$	$110$	$14$

Q. The heights (in cm) of students of a class is tabulated below.

\begin{matrix} Height & Number of students 150 - 154 & 4 155 - 159 & 3 160 - 164 & 2 165 - 169 & 1 170 - 174 & 2 175 - 179 & 2 180 - 184 & 4 185 - 189 & 2 T o t a l & 20 \end{matrix}

Identify the correct option.

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Height (in cms):	160−162	163−165	166−168	169−171	172−174
No. of students:	15	118	142	127	18

The following is the distribution of height of students of a certain class in a certain city: Height (in cms): 160−162 163−165 166−168 169−171 172−174 No. of students: 15 118 142 127 18 Find the median height.

First we prepare the following cummulative table to compute the median. Now, ∴ Thus, the cumulative frequency just greater than 210 is 275 and the corresponding class is . Therefore, is the median class. We know that, Hence, the median height is approximately 167.1 cm.

The following is the distribution of height of students of a certain class in a certain city:

Height (in cms): 160−162 163−165 166−168 169−171 172−174

No. of students: 15 118 142 127 18

Find the median height.

First we prepare the following cummulative table to compute the median.

Now,

∴

Thus, the cumulative frequency just greater than 210 is 275 and the corresponding class is .

Therefore, is the median class.

We know that,

Hence, the median height is approximately 167.1 cm.