Question

the mean of the following data is 37 find x
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Answer 1

Answer:

good night good night good night

Answer 2

Answer:

Arranging given numbers in ascending order,

24,25,26,28,30,30,32,33,34,35

Mean(

x

)=

10

24+25+26+28+30+30+32+33+34+35

=

10

297

=29.7

(i)

⇒ (24−29.7)+(25−29.7)+(26−29.7)+(28−29.7)+(30−29.7)+(30−29.7)+(32−29.7)+(33−29.7)+(34−29.7)+(35−29.7)

⇒ −5.7−4.7−3.7−1.7+0.3+0.3+2.3+3.3+4.3+5.3

⇒ 0

Hence, we proved that the sum of the deviations of all the given observations from the mean is zero.

(ii)

Number of observation =10

Median=

2

1

[(

2

10

)

th

obs+(

2

10

+1)

th

obs]

Median=

2

1

[5

th

obs+6

th

obs]

5

th

=30 and 6

th

obs=30

∴ Median=

2

30+30