Question

27. 26, 28, 30, 33, 34, ?, 38, 43
(1) 38 (2) 36
(3) 42 (4) 37​

Answer 1

Step-by-step explanation:

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$\huge\tt{Question}$

Find the mean of the following data 30,32,24,34,26.28,30,35,33,25

(i) Show that the sum of the deviations of all the given observations from the mean is zero.

(ii) Find the median of the given data.

$\huge\underbrace\mathfrak\pink{Answer♡}$

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

=30

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Answer 2

$\huge\bf\green{ANSWER}$

$27. 26, 28, 30, 32, 34, 36, 38 \\ </p><p>(2) 36</p><p>$

Hope it helps.