List of top Mathematics Questions on Statistics asked in KEAM

If the mean and standard deviation of 10 observations are 24 and 4 respectively, then the sum of the squares of all observations is

The combined mean age of a group of boys and girls in a school is 12. If the mean of the boys in that group is 14 and the mean of the girls is 9, then the percentage of boys in that group is

Consider the data $x_{1},x_{2},\dots,x_{10}$. If $\sum_{i=1}^{10}(|x_{i}-\overline{x}|)^{2}=662,$ where $\overline{x}$ is the mean, then the standard deviation is approximately, equal to

Let $x_{1},x_{2},\dots,x_{n}$ be the data with respective frequencies $f_{1},f_{2},\dots,f_{n}$. If $\sum_{i=1}^{n}f_{i}(|x_{i}-\overline{x}|)=400$ and the mean deviation from the mean $\overline{x}$ is 10, then $\sum_{i=1}^{n}f_{i}$ is equal to

In a class there are $n$ students. The mean of marks obtained by these $n$ students in an exam is 65. If the mark of one student is increased from 50 to 75 and the new mean is 66, then the value of $n$ is equal to

The standard deviation of a data set \( x_1, x_2, \dots, x_6 \) (\( x_i>0 \)) is 2. If \[ \sum_{i=1}^{9} x_i^2 = 360, \] then the mean of the data set is

If X is a random variable with E(X) = 6 and V(X) = 3, then E(X²) is equal to

The variance of the data \(x_1,x_2,...,x_{30}\) with \(\displaystyle\sum^{50}_{i=1}x_i=650\) and \(\displaystyle\sum^{50}_{i=1}x_i^2=10000\) is

Assume that n distinct values x1,x2,...,x_n occur with frequencies \(f_1,f_2....,f_n\). respectively, If \(\bar{x}=7\) and \(\displaystyle\sum^{8}_{i=1}f_ix_i=315\), then \(\displaystyle\sum^{8}_{i=1}f_i=\)

In an examination, 20% of the students scored 70 marks, 40% scored 80 marks, 30% scored 90 marks and the rest scored 100 marks. Then the mean score of the students is

The average marks of 30 students in a class was 80. After two students left out of the class, the average marks of the remaining students was 82. Then the average marks of the two left out students is

In a class of 100 students, there are 70 boys whose average marks in a subject are 75. If the average marks of the complete class is 72, then what is the average of the girls?

If the mean of a set of observations \( x_1, x_2, ..., x_{10} \) is 20, then the mean of \( x_1+4, x_2+8, x_3+12, ..., x_{10}+40 \) is

If the mean of a set of observations \( x_1, x_2, ..., x_{10} \) is 20, then the mean of \( x_1+4, x_2+8, x_3+12, ..., x_{10}+40 \) is

The mode of the data 8, 11, 9, 8, 11, 9, 7, 8, 7, 3, 2, 8 is:

If the mean of six numbers is 41, then the sum of these numbers is:

The mean for the data 6, 7, 10, 12, 13, 4, 8, 12 is:

In a class, in an examination in Mathematics, 10 students scored 100 marks each, 2 students scored zero and the average of the remaining students is 72 marks. If the class average is 76, then the number of students in the class is:

If the combined mean of two groups is \( \frac{40}{3} \) and if the mean of one group with 10 observations is 15, then the mean of the other group with 8 observations is equal to

The value of \( \lim_{x \to 3} \frac{x^5 - 3^5}{x^8 - 3^8} \) is equal to:

If two dice are thrown simultaneously, then the probability that the sum of the numbers which come up on the dice to be more than 5 is:

The value of \( \lim_{x \to 3} \frac{x^5 - 3^5}{x^8 - 3^8} \) is equal to:

If two dice are thrown simultaneously, then the probability that the sum of the numbers which come up on the dice to be more than 5 is:

The value of \( \lim_{x \to 3} \frac{x^5 - 3^5}{x^8 - 3^8} \) is equal to: