Mean

Q.

Which measures of central tendency are affected by extremes?

Q. The mean marks of 100 students were found to be 40. Later on, it was discovered that a score of 53 was misread as 83. Then, the correct mean is .

1. 37.5
2. 35.6
3. 39.7
4. 38.7

Q.

Mention the three most commonly used measures of central tendency.

Q.

Are the sample dependent in the central limit theorem

Q. In a company, team A has five members who did 5, 7, 8, 6 and 6 units of work in a day and team B has 6 members who did 5, 7, 6, 5, 5 and 8 units of work in a day. Which team is more efficient in their work?

1. Team A is more efficient as they are doing 36 units of work in a day.
2. Team A is more efficient as average work done by a person is 6.4 units/day
3. Team B is more efficient as average work done by a person is 6.4 units/day
4. Team B is more efficient as they are doing 36 units of work in a day.

Q. If the mean of n observations $x_1,x_2$, ....... $x_n$ is $\overline{x}$, then the sum of deviations of observations from mean is

1. $0$
2. none of these
3. n$\overline{x}$
4. $\frac{\overline{x}}{n}$

Q. Find the mean deviation from the mean of the given data :

1. $10$
2. $3$
3. $2.19$
4. $3.319$

Q. Assertion :If $x_i=(2i-1);i=1,2,\mathrm{3...}$. Then, the sum of the deviations of $x_1,x_2,.....x_n$ from $x=n$ is zero Reason: The algebraic sum of the deviations of a set of observations about their mean is zero.

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
2. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
3. Assertion is correct but Reason is incorrect
4. Assertion is incorrect but Reason is correct

Q.

What Is the PERT Formula?

Q.

The mean of ten numbers is $\text{14}$. Four of the numbers have a mean of $\text{10}$.The remaining six numbers are $\text{16, 20, 22, x, 8 and 10.}$

Find the value of $\text{x}$.

Q. The arithmetic mean of regression coefficients is less than coefficient of correlation.

1. True
2. False

Q. For two data sets, each of size $5,$ the variances are given to be $4$ and $5$ and the corresponding means are given to be $2$ and $4$ , respectively. The variance of the combined data set is :-

1. $\frac{11}{2}$
2. $\frac{13}{2}$
3. $\frac{5}{2}$
4. $6$

Q.

Name the series in which cumulative frequency can be calculated.

Q.

Which of the following is a measure of central tendency?

1. class interval

2. Class

3. mean

4. frequency

Q.

A cricketer has a mean score of $58$ runs in nine innings. Find out how many runs are to be scored by him in the tenth inning to raise the mean score to $61$.