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If the mean of the data 3, 21, 25, 17, (x + 3), 19, (x – 4) is 18, find the value of x. Using this value of x, find the mode of the data. |
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Answer» We know that Number of observations = 7 It is given that mean = 18 It can be written as (3 + 21 + 25 + 17 + x + 3 + 19 + x – 4)/7 = 18 On further calculation 2x + 84 = 126 By subtraction 2x = 42 By division x = 21 By substituting the value of x (x + 3) = 21 + 3 = 24 (x – 4) = 21 – 4 = 17 So we get 3, 21, 25, 17, 24, 19, 17 We know that 17 occurs maximum number of times so the mode is 17. |
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