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Question: Which of the following statement(s) is/are true ? I. If the mean of the given data set 3, 6, 12, ___ is 9, then the missing number is 12. II. If the mode of the given data set 1, 0, 2, 5, 9, 11, 13, 14, 7, ___ is 0, then the missing number is 3. III. If the median of 2, 3, 11, 1, 6, 14, ___ , 8, 9 is 8, then the missing number is greater than 8. A ) III only B ) I and II only C ) I only D ) II only Steps to derive 1 Let x be the missing number.2 Mean is X ‾ = ∑X n = 3 + 6 + 1 2 + x 4 = 93 x = 36 - 21 = 15 ≠ 12. So, statement I is false.4 Mode is the data value which occurs most often in the data set. Since the mode of the given data set is 0, the missing number should be 0 only. So, statement II is false.5 The median is the half way point in the ordered data set. Order the given data set: 1, 2, 3, 6, 8, 9, 11, 14.6 Since 8 is the median, 8 should be the mid point. So, the missing value should lie on the right of 8. So, the number is greater than 8. So, statement III is true.7 Therefore, only statement III is true.Hence the right answer is Option A Click Here To Go Back Few Other Questions - Which of the following best describes the solution of the inequality -3 < x + 4 ≤ 5?.. Find the outlier for the stem and leaf plot... Which of the following choices describes the solution of the inequality 0 < x + 7 < .. Find the outlier for the data in the line plot... Find the outlier for the line plot... Identify the outlier in the line plot... The audible frequency range of a dog is 25 Hz to 50000 Hz. Write an inequality to describe.. The angles of elevation of the top of a tower from the top and bottom of a 60 m high build.. Which of the circle graphs is the representation of the table about the availability of vi.. Identify 7.8 × 10- 3 in standard form... What is the value of n, if 6980 = 6.98 × 10n?.. Which of the numbers is greater, 6 × 102 or 7 × 103?.. Solve: 4d - 5 ≤ - 9.. 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