16. If the median of the data: 6,7, x-2, x, 17, 20, written in ascending order, is 16. Then x= (d) 30 (a) 15 (b) 16

Question

16. If the median of the data: 6,7, x-2, x, 17, 20, written in ascending order, is 16. Then x=
(d) 30
(a) 15
(b) 16
(c) 17

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Peyton 4 weeks 2021-11-02T06:35:56+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-11-02T06:36:57+00:00

    Answer

    Given : Median = 16 , observations are arrange in ascending order : 6, 7, x − 2, x, 17, 20

    Total number of observations = 6

    n = 6 (even)

    If n is even then median = ½value of [ (n/2)th + (n/2 +1) th] observations.

    Median = ½[(6/2)th + (6/2 + 1) th] observations

    Median = ½ [3th + 4th] observations

    16 = ½ [(x – 2) + x

    16 × 2 = 2x – 2

    32 = 2x – 2

    2x = 32 + 2

    2x = 34

    x = 34/2 = 17

    x = 17

    Hence, the value of x is 17.

    ★★ Median of the data depends on the number of observations (n) .

    i) If n is odd then median= value of [(n+1)/2]th observation

    ii) If n is even then median= ½value of [ (n/2)th + (n/2 +1) th] observations.

    HOPE THIS ANSWER WILL HELP YOU…….

    Step-by-step explanation:

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    0
    2021-11-02T06:37:51+00:00

    Answer:

    answer……………….17

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