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MEAN, MEDIAN, MODE || Quantitative Aptitude || CAT 2021 || 28 October
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Question 1
The median of 7 integers 3,3,4,5,x,y,-4 is 4. Which of the following cannot be the value of x + y ?
Question 2
Which of the following can be the range of the values of the median for the series 36, 8, 12, 42, 16, 21, 32, 23, 33, x, 9,6,25,40,37,45 and 19
Question 3
If the mean of 12 observations is 8 and their standard deviation is 2, then find the sum of the squares of these observations
Question 4
The arithmetic mean for a series 30, 35, 42, P and 56 is 42. Median of this given series is x. Find the mode.
Question 5
Find the mode for the following series – 7, 10, 13, 17, 19, 11
Question 6
If mean and mode of a distribution are 6 and 8 respectively, then the median is –
Question 7
A list of 9 natural numbers, in which 2 is the smallest number, has two modes. The range of the data of the list is 9. The mean, the median and the largest mode of the list are equal. If 2, 3 and 10 appear once in the list, then how many such list(s) is/are possible?
Question 8
At the time of a 7 day long period, it was recorded that the median daily high temperature was 91 º. Which of the following statements can be held as true?
I. The high temperature was exactly 91 º on each of the seven days
II. The high temperature was never lower than 92 º
III. Half the high temperatures were above 91 º and half were below 91 º
I. The high temperature was exactly 91 º on each of the seven days
II. The high temperature was never lower than 92 º
III. Half the high temperatures were above 91 º and half were below 91 º
Question 9
The Mean deviation about Median for the given data: 52, 56, 66, 70, 75, 80, 82 is
Question 10
What is the difference between the median and mode of 4, 3, 10, 14, 4, 32, 64, 4, and 2?
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