Question

8. Find the mean, median and mode of the following data :
2.5 2.3 2.2 2.2 2.4 2.7 2.7 2.5 2.3 2.2 2.6 2.2​

Answer 1

Answer:

arrange in ascending order,

2.2, 2.2, 2.2, 2.2,2.3, 2.3, 2.4, 2.5, 2.5, 2.6, 2.7, 2.7

$mean \: = \frac{sum \: of \: all \: observation \: }{number \: of \: all \: observation}$

$mean = \frac{2.2 + 2.2 + 2.2 + 2.2 + 2.3 + 2.3 + 2.4 + 2.5 + 2.5 + 2.6 + 2.7 + 2.7}{12}$

$= \frac{28.8}{12}$

$= 2.4$

and here n

$= 12(even)$

$medin= \frac{ (\frac{n}{2} )th+ ( \frac{n}{2} + 1)th }{2}$

$= \frac{ (\frac{12}{2})th \: term+ ( \frac{12}{2} + 1)th \: term }{2}$

$= \frac{6th \: term \: + \: (6 + 1)th \: term}{2}$

$= \frac{6th \: trm \: + 7th \: term}{2}$

$= \frac{2.3 + 2.4}{2}$

$= \frac{4.7}{2 }$

=2.35

mode = 2.2