Question

If the observations 19, 24, 27, 28, X+2, 35, 38, 42, 43 are in ascending order and their median is 31 then what is the value of X ? *
28
30
29
31​

Answer 1

Answer:

29

Step-by-step explanation:

as there are 9 digits and x+2 is the 5th that is median (middle one) so

x+2= 31

x=29

Answer 2

Given :- If the observations 19, 24, 27, 28, X+2, 35, 38, 42, 43 are in ascending order and their median is 31 then what is the value of X ?

A) 28

B) 30

C) 29

D) 31

Solution :-

→ given observations in ascending order are = 19, 24, 27, 28, X+2, 35, 38, 42, 43 = Total 9 = Odd number .

now we know that, When total number of observations are n , where n is an odd number , then,

• Median = (n + 1)/2 th term of the observation .

so,

→ Median = (n + 1)/2 th term

→ Median = (9 + 1)/2 th term

→ Median = 10/2 th term

→ Median = 5th term .

now,

→ 5th term in ascending order is = (x + 2)

and,

→ Median = 31

therefore,

→ (x + 2) = 31

→ x = 31 - 2

→ x = 29 (C) (Ans.)

Hence, value of x is equal to 29 .

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