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The median of the observations 10, 11, 1...

The median of the observations 10, 11, 13, 17, x + 2, x + 4, 31, 33, 36, 42, arranged in ascending order 24. What is the mean of the data?

A

24, 45

B

41, 43

C

43, 46

D

46, 46

Text Solution

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The correct Answer is:
B
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The median of the observation 11,12,14,18,x+2,x+4,30,32,35,41 arranged in ascending order is 24. Find the value of x.

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Knowledge Check

  • The median of the observations 11, 12, 14, 18, (x+4), 30, 32, 35, 41 arranged in ascending order is 24. Find the value of x.

    A
    15
    B
    20
    C
    25
    D
    30

  • The median of certain observations 17, 18, 23, 27, x - 3, x + 5, 45, 49, 74 and 84, arranged in ascending order is 35. Later on, it was found that one observation 72 was misread as 27 by mistake. The correct median of the data is

    A
    36
    B
    38
    C
    42
    D
    47

  • Assertion : The median of the following observation 0, 1, 2, 3, x, x + 2, 8, 9, 11, 12 arranged in ascending order is 63, then the value of x is 62. Median of n even observations is ((n/2)^("th")"term"+(n/2+1)^("th")"term")/2

    A
    If both assertion and reason are true and reason is the correct explanation of assertion.
    B
    If both assertion and reason are true but reason is not tlie correct explanation of assertion.
    C
    If assertion is true but reason is false.
    D
    If assertion is false but reason is true.

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    The observations 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95 are arranged in ascending order. What is the value of x if the median of the data is 63?

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