CTET 2 Math and Science 7 Jan 2022 Paper

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Question : 50 of 150

Marks: +1, -0

If

{\x}, {\y}

and

{\z}

are respectively the mean, mode and median of the date

7,9,19,11,10,8,7,5,7,6,9

and 10 , then what is the value of

( {\x}+ {\y}- {\z})

?

$9.5$
8
$8.5$
$7.5$

Solution:

⇒ \;\text " Mean "\;=(7+9+19+11+10+8+7+5+7+6+9+10) \/ 12

⇒ {\X}=108 \/ 12=9

⇒ {\Y}=\;\text " mode "\;=7

⇒ \;\text " The value is "\; 5,6,7,7,7,8,9,9,10,10,11,19

\;\text " According to the formula "\;

⇒ \;\text " Median "\;=(8+9) \/ 2=8.5

⇒ {\X}+ {\Y}- {\Z}=9+7-8.5=7.5

∴

The value of

(x+y-z)

is

7.5

.

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