Mean Median Mode Practice Test Question Answers [PDF Worksheet]
Mean Median Mode Practice Test Question Answers [PDF Worksheet]: The information collected in the form of numbers is called Data. Data is organized and represented graphically so that it becomes easy to understand and interpret. The difference between the highest and lowest observations in a given data is called its Range.
The average Arithmetic Mean or mean of a given data is defined as :
The mode is the observation that occurs most frequently in the data.ย When the given data is arranged in ascending (or descending) order, then the middlemost observation is the median of the data.
Mean, median, and mode are the representative values of a group of observations. They are also called the measures of the central tendency of the data.
1. The range of the data 14, 6, 12, 17, 21, 10, 4, 3 is
๐ A. 6
๐ B. 12
๐ C.ย 16
๐ D. 17
๐ E. 18
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Answer: E 18 (Higher Value (21) – Lowest Value (3) =18)
2. The mode of the data 21, 26, 22, 29, 23, 29, 26, 29, 22, 23 is
๐ A.ย 21
๐ B. 22
๐ C.ย 23
๐ D. 26
๐ E. 29
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Answer: E 29 (29 is occurs most frequently in the data.)
3. The median of the data 23, 49, 87, 75, 88, 59, 89 is
๐ A.ย 49
๐ B.ย 87
๐ C.ย 75
๐ D. $ 88
๐ E.ย 59
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Answer: C 75 (75 is the middle most observation is the given median of the data)
4. Find the median of the data: 13, 111, 17, 12, 15, 19, 19, 12, 110, 115, 17
๐ A. 12
๐ B. 15
๐ C. 19
๐ D. 17
๐ E. 110
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Answer: D 14ย (Arranging in ascending order. 12, 12, 13, 15, 17, 17, 19, 19, 110, 111, 115)ย Since number of observations is odd, the middle most value is the median. The middle most value is 17, somedian is 17.
5. Find the median of the data 39, 30, 80, 28, 20, 71, 19, 11, 60, 17
๐ A. 28
๐ B. 20
๐ C. 71
๐ D. 30
๐ E. 24
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Answer: E 24 ( Arranging in ascending order 11, 17, 19, 20, 28, 30, 39, 60, 71, 80) Since number of observations is even, the median is given by finding the average or mean of the two middle most observations So, median is (20+28) รท 2 = 24ย (Note : In this data, there are two middle most terms 20 and 28. So, median
is the average of these observations.)
6. If the mean of 26, 28, 25, x, 24 is 27, find the value of x.
๐ A. 2
๐ B. 3
๐ C. 12
๐ D. 23
๐ E. 32
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Answer: E 32 (Use the above mean formula 27 =(26 + 28 + 25 + x+ 24) รท 5)
7. The mean of 10 observations was calculated as 40. It was detected on rechecking that the value of 45 was wrongly copied as 15. Find the correct mean.
๐ A. 13
๐ B. 23
๐ C. 27
๐ D.ย 33
๐ E. 43
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Answer: E 43 (formula 40 = (Sum of all observations) รท 10 = So, sum of all observations = 400 (correct sum = Incorrect sum โ Incorrect observation + correct observation)ย and Correct Mean=(Correct Sum รท Number of observations))
8. The median of observations 11, 12, 14, 18, x + 2, 20, 22, 25, 61 arranged in ascending order is 21. Find the value of x.
๐ A. 19
๐ B. 20
๐ C. 22
๐ D. 25
๐ E. 61
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Answer: A 19 (formula Median from data = x + 2 or, 21 = x + 2 or, x = 19)
9. The number of coffeebar in different street of a NY city are 9, 18, 24, 9, 5, 9, 3 and 9. The mode of this data is
๐ A. 3
๐ B. 5
๐ C. 9
๐ D. 18
๐ E. 24
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Answer: C 9 (3, 5, 9, 9, 9, 9, 18, 24)ย Here, 9 occurs more frequently: I.e. 4 times.
Mode of data 9: Note Mode is the observation that occurs most frequently in the data.
10. The mean of three numbers is 40. All the three numbers are different natural numbers. If lowest is 19, what could be highest possible number of remaining two numbers?
๐ A.
๐ B.
๐ C.
๐ D. $
๐ E.
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Answer: D 1100 (formula of Simple interest I = (P ร R ร T)/100)