Question

Q9.Calculate median from the
following data regarding marks of 10
students. 34, 22, 17, 28, 40, 8, 24, 26,
32, 34.
A.34
B.26
O C.27
O 0.28​

Answer 1

$\underline{\textbf{Given:}}$

$\textsf{Marks of 10 students}$

$\mathsf{34,22,17,28,40,8,24,26,32,34}$

$\underline{\textbf{To find:}}$

$\textsf{Median of the given data}$

$\underline{\textbf{Solution:}}$

$\textsf{Arrange the given data in ascending order,}$

$\mathsf{8,17,22,24,26,28,32,34,34,40}$

$\mathsf{Here,\;n=10}$

$\textsf{Since n is even,}$

$\mathsf{Median=Average\;of\;\dfrac{n}{2}\;th\;item\;and\;\dfrac{n}{2}+1\;th\;item}$

$\mathsf{Median=Average\;of\;\dfrac{10}{2}\;th\;item\;and\;\dfrac{10}{2}+1\;th\;item}$

$\mathsf{Median=Average\;of\;5\;th\;item\;and\;6\;th\;item}$

$\mathsf{Median=\dfrac{26+28}{2}}$

$\mathsf{Median=\dfrac{54}{2}}$

$\implies\boxed{\mathsf{Median=27}}$

$\nderline{\textbf{Answer:}}$

$\textsf{Option (C) is correct}$

$\underline{\textbf{Find more:}}$

Find median and mode of the messages received on 9 consecutive days 15, 11, 9, 5, 18, 4, 15, 13, 17.​

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