Find the value of x if the mode of the following data is 20 :15, 20, 25, 18, 13, 15, 25, 15, 18, 17, 20, 25, 20, x, 18.
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Answer. Given observations are: 15, 20, 25, 18, 14, 15, 25, 15, 18, 16, 20, 25, 20, x, 18 Recall that the observation with highest frequency is the mode. Given mode is 25 Notice that observations 15, 18, 20 and 25 are repeated 3 times. Since the mode is 25, hence the value of x should be 25 ∴ x = 25
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