Statistics: JEE Main Mathematics Previous Year Questions

171 previous year questions from Statistics. Here are the 25 most important ones; open any question for the correct answer and a full step-by-step solution.

1. $If the standard deviation of the numbers - 1, 0, 1, k is 5 where k > 0, then k is equal to$
2. $If 10 is the mean of the data 2, 3, 5, 18, 17, 15, 13, x, 9 and 7 , then the mean deviation of this data about its mean\dots$
3. $The coefficient of variation of 9, 3, 11, 5, 7, is$
4. $The mean deviation from the mean for the observations 1, 3, 5, 7, 11, 13, 17, 19, 23 is$
5. $For the set A = (x_{1}, x_{2}, x_{3}, x_{4}, x_{5}) the variance is 4 and the mean is 2 . For the set\dots$
6. $The mean age of 25 teachers in a school is 40 years. A teacher retires at the age of 60 years and a new teacheris appointed in his place. If the mean age of the\dots$
7. $The variance of the numbers 8, 21, 34, 47, \dots, 320 is$
8. $The mean deviation from the mean of the discrete data 1, 3, 4, 7, 11, 18, 29, 47, 78 is$
9. $The standard deviation of first 10 multiples of 4 is$
10. $If 10 is the mean deviation of ' n' observations x_{1}, x_{2}, x_{3}, \dots, x_{n} then the mean deviation of the observations\dots$
11. $The arithmetic mean of the observations 10, 8, 5, a, b is 6 and their variance is 6.8, then ab is equal to$
12. $If the variance of the frequency distribution x c 2 c 3 c 4 c 5 c 6 c f 2 1 1 1 1 1 is 160 , then the value of c \in N is$
13. $If the standard deviation of the numbers 2, 3, 2 x and 11 is 3.5. Find the possible values of x .$
14. $Let the mean and standard deviation of marks of class A of 100 students be respectively 40 α (> 0), and the mean and standard deviation of marks of class B of n st\dots$
15. $The mean and standard deviation of 100 observations are 40 and 5.1, respectively. By mistake one observation is taken as 50 instead of 40. If the correct mean and the cor\dots$
16. $For the following frequency distribution, the variance is approximately equal to Class Interval 0 - 5 5 - 10 10 - 15 15 - 20 20 - 25 Frequency 4 1 10 3 2$
17. $Let a_{1}, a_{2}, \dots a_{10} be 10 observations such that \sum_{k = 1}^{10} a_{k} = 50 and\dots$
18. $The mean deviation about the mean for the following data is Class Interval 0 - 4 4 - 8 8 - 12 12 - 16 Frequency 4 3 2 1$
19. $If the coefficient of variation and variance of a frequency distribution are 7.2 and 3.24 respectively, then its mean is$
20. $If the mean and variance of eight numbers 3, 7, 9, 12, 13, 20, x and y be 10 and 25 respectively, then x ∙ y is equal to \dots$
21. $If the mean and the standard deviation of the data 3, 5, 7, a, b are 5 and 2 respectively, then a and b are the roots of the equations:$
22. $There rotten apples are mixed accidently with seven good apples and four apples are drawn one by one without replacement. Let the random variable X denote the number of r\dots$
23. $In a data, if the number i is repeated i times for i = 1, 2, ..... n, then the mean of the data is$
24. $From a lot of 10 items, which include 3 defective items, a sample of 5 items is drawn at random. Let the random variable X denote the number of defective items in the sam\dots$
25. $Let the mean and the variance of 6 observation a, b, 68, 44, 48, 60 be 55 and 194 , respectively if a > b, then a + 3 b is$

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Statistics: JEE Main Mathematics Previous Year Questions

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