A survey was conducted regarding the heights of students of class X   in a school and the recorded data is as follows, Find the median of the data.

# A survey was conducted regarding the heights of students of class   in a school and the recorded data is as follows, Find the median of the data.

1. A
135
2. B
142
3. C
145
4. D
146

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### Solution:

The following data is given.
To find median of the data, apply this formula

In the formula, l is the lower limit of the median class, N denotes the total number of observations, C is the cumulative frequency of the preceding class, f is the frequency of each class and h is the class size.
Find median of the following data,
Here, $N=53$.
$⇒\frac{N}{2}=\frac{53}{2}$
$⇒\frac{N}{2}=26.5$
Subsequently, 31 is just greater than 26.5, therefore the median class is $145-150$.
Find the median of the data,

$⇒\mathit{Median}=146$
Considering the circumstances discussed above, the value of median is 146.
Hence, option 4 is correct.

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