JEE Main Mathematics: Statistics Practice Questions

14 questions with answers and step-by-step solutions. Tap any question to see the full worked solution.

Q1.
$What is the mode of the data set 2, 3, 4, 3, 5, 3, 6?$
Easy
Q2.
$Find the mean of the first 10 natural numbers.$
Easy
Q3.
$If the mean of 5 observations x, x+2, x+4, x+6, x+8 is 11, find the value of x.$
Easy
Q4.
$What is the median of the data set 3, 1, 7, 5, 9?$
Easy
Q5.
$Calculate the range of the following data: 12, 15, 18, 20, 25.$
Easy
Q6.
$If the mean and variance of 8 observations are 10 and 16 respectively, and each observation is multiplied by 2, then the new mean and new variance are respectiv$
Medium
Q7.
$The mean deviation about the mean for the data 3, 10, 10, 4, 7, 10, 5 is:$
Medium
Q8.
$For a set of 20 observations, the sum of squares of deviations from the mean 10 is 200. The variance of the observations is:$
Medium
Q9.
$If the coefficient of variation of a distribution is 60 percent and the standard deviation is 12, then the arithmetic mean of the distribution is:$
Medium
Q10.
$Let the mean and variance of 5 observations x1, x2, x3, x4, x5 be 2 and 4 respectively. If the mean and variance of 5 other observations y1, y2, y3, y4, y5 are$
Hard
Q11.
$For a frequency distribution, the mean is 100 and the coefficient of variation is 20%. The variance of the distribution is:$
Hard
Q12.
$If the mean and variance of 8 observations are 9 and 9.25 respectively, and each observation is multiplied by 3, then the new variance of the observations is:$
Hard
Q13.
$The mean of 100 observations is 50 and their standard deviation is 5. If each observation is increased by 4, then the new mean and standard deviation are respec$
Hard
Q14.
$If the sum of squares of deviations of 10 observations taken from their mean 50 is 250, then the coefficient of variation is:$
Hard

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