The terms mean, median and mode are used to describe the central tendency of a large data set. Range provides provides context for the mean, median and mode.
Question / Answer
Question #1  The mean of mode, median and range of the data :
2, 1, 2, 3, 3, 6, 4, 8, 14, 9, 4, 8, 4 is : [Mathematics] [CTET201609]


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Answer Explanation  Given that, The mean of mode, median and range of the data = 2, 1, 2, 3, 3, 6, 4, 8, 14, 9, 4, 8, 4 Range = 14 – 1 = 13 Mode = 4 Median = 7^{th} term = 4 Mean = 7 
Question #2  The mean of median and mode of the data 7, 6, 7, 9, 8, 8, 10, 8 is
[Mathematics] [CTET201402]

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Answer Explanation  Arranging the above data in ascending order we get 6,7,7,8,8,8,9,10 Median for even number of observation is the mean of the n/2 – 1 and he n/2 +1 value. Here, n=10 => mean of 4th and 5th value 0r (8+8)/2 = 8 is the median of the above observation. Mode is the observation that is repeated most time. here it is 8.There mean of mode and median = ( 8 + 8)/2 = 8 
Question #3  The sum of mean, mode and median of the data 6, 3, 9, 5, 1, 2, 3, 6, 5, 1, 3 is
[Mathematics] [CTET201509]

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Answer Explanation  Mean = (6+3+9+1+2+3+6+5+1+3)/11 = 44/11 = 4 Mode = 3 (Most repeated number) Median = middle value of (1,1,2,3,3,3,5,5,6,6,9) = 3 And therefore their sum is 10. 
Question #4  The mean of the median, mode and range the observations 6,6,9,14,8,9,9,8 is
[Mathematics] [CTET201201]

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Answer Explanation  Sorted dataset = (6, 6, 8, 8, 9, 9, 9, 14)
Median = Ave of middle values (8+9)/2 = 8.5 Mean of the median, mode and range = (8.5+9+8)/3 = 8.5 
Question #5  The mean of range, mode and median of the data 4, 3, 2, 2, 7, 2, 2, 0, 3, 4, 4 is [Mathematics] [CTET201502]

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Answer Explanation  Mean = sum of all number/(number of number)
The range of the above number is (largest number – smallest number) = 70 = 7 And the median is the number that lies exactly in the middle for a series with odd number of elements when arranged in increasing order. Here the number is 3 
Question #6  The median of 7,8,9,10,11,12 is
[Child Development and Pedagogy] [UPTET201710]

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Question #7  Ten observation 5, 9, 14, 15, x+ 1, 2x 13, 28, 30, 32, 34, are written in ascending order. The median of the data is 24 find the value of x.
[Mathematics] [UPTET201710]

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Answer Explanation  No of observations = 10 As the No of observations is even , Median = [( n/2th observation) + (n/2)+1 th observation] ÷ 2 n/2 th observation = 5 th observation = x+1 (n/2)+1 th observation = 6th observation = 2 x13 [x+1 + 2x 13] ÷ 2 = median [x+1 + 2x 13] ÷ 2 = 24 (3x – 12) ÷ 2 = 24 3x – 12 = 24 × 2 3x – 12 = 48 3x = 48 + 12 3x = 60 x = 60 ÷ 3 x = 20 
Question #8  Out of observation arranged in ascending order. the sixth and seventh observations are 14 and 15 respectively. Find the median of all the 12 observations.
[Mathematics] [UPTET201612]

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Question #9  What is the median value of the following data ?
18, 26, 15, 20, 23, 15, 9, 21, 12, 24 [Child Development and Pedagogy] [OTET201812]

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Question #10  What is the median of the following scores ?
3, 5, 4, 9, 8 [Child Development and Pedagogy] [OTET201709]

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