Statistics
Practice Statistics MCQs from the Mathematics syllabus.
If the ratio of mode and median of a distribution is 6:5, then the ratio of mean and median is:
The mean of 20 observations is 15. On checking, it was found that two observations 20 and 15 were miscopied as 3 and 32. The correct mean is:
Find the median of the following frequency distribution: x=5, 10, 15, 20 with f=3, 7, 6, 4.
If the mean of $a, b, c, d, e$ is 28, and the mean of $a, c, e$ is 24, what is the mean of $b, d$?
Which of the following cannot be determined graphically?
In a moderately skewed distribution, the values of Mean and Median are 12 and 13 respectively. The value of Mode is:
If the mean of $x$ and $1/x$ is $M$, then the mean of $x^2$ and $1/x^2$ is:
The average weight of 8 persons is increased by 2.5 kg when a new person comes in place of one of them weighing 65 kg. The weight of the new person is:
If the mean of observations $x_1, x_2, ... x_n$ is $\bar{x}$, then $\sum_{i=1}^n (x_i - \bar{x})$ is:
Find the median of the series: 3, 3.5, 2.5, 4.5, 5, 2, 0.5, 6, 7.
In a distribution of 100 observations, the sum of observations is 500. If the sum of squares of observations is 3000, the mean is:
If the mean of first $n$ odd natural numbers is $n^2/81$, find $n$.
If the mean of 5 observations $x, x+2, x+4, x+6, x+8$ is 11, then the mean of first three observations is:
The arithmetic mean of $1, 2, 2, 3, 3, 3, ... n$ times $n$ is:
If the mean of 10 observations is 12 and the sum of first 9 is 100, find the 10th.
Which of the following is affected most by a change in scale (multiplication)?
If the mean of $x, x+3, x+6, x+9, x+12$ is 10, then x is:
In a distribution, if all observations are increased by $k$, the median:
The mean age of 30 students is 15 years. If the teacher's age is included, the mean increases by 1 year. Teacher's age is: