Class 9 Measures of Central Tendency — practice questions with answers
Statistics and Probability · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
1. The mean of the numbers 4, 6, 8, 10, 12 is:
A7
B8
C9
D10
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Answer: B) 8
Sum = 4+6+8+10+12 = 40. Mean = 540 = 8.
2. The number of goals scored by a team in 5 matches is 2, 3, 4, 5, 0. The mean number of goals is:
A2.8
B3
C3.5
D2.5
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Answer: A) 2.8
Sum = 2+3+4+5+0 = 14. Mean = 514 = 2.8 goals.
3. The mean of 3, 7, 9, 13 and one more number is 9. The fifth number is:
A14
B26
C12
D13
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Answer: D) 13
Total of 5 numbers = 9 x 5 = 45. Known four sum = 3+7+9+13 = 32. Fifth = 45 - 32 = 13.
4. The frequency table shows runs scored by students in a quiz: Score 2 occurs 3 times, score 4 occurs 5 times, score 6 occurs 2 times. Find the mean score.
A3.8
B4.0
C3.6
D4.2
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Answer: A) 3.8
Sum = 2x3 + 4x5 + 6x2 = 6 + 20 + 12 = 38. Total frequency = 3+5+2 = 10. Mean = 1038 = 3.8.
5. A factory in Surat records the number of defective items per batch over 10 batches: 4, 6, 4, 8, 4, 10, 6, 4, 12, 2. Let A = mean, B = median, C = mode. Arrange A, B, C in increasing order and give the value of (A + B + C).
A16
B15
C14
D30
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Answer: B) 15
Sum = 4+6+4+8+4+10+6+4+12+2 = 60, so A (mean) = 1060 = 6. Sorted: 2,4,4,4,4,6,6,8,10,12. Median B = 25th+6th = 24+6 = 5. Mode C = 4 (appears 4 times). Increasing order: C(4) < B(5) < A(6). Sum A+B+C = 6+5+4 = 15.