Average

Q.

How to convert days into months?

Q.

A man whose bowling average is $12.4$ takes $5$ wickets for $26$ runs and thereby decreases his average by $0.4$. What is the number of wickets taken by him before his last match?

Q.

There are 50 students in a class, of which 40 are boys. The average weight of the class is 44 kg and that of girls is 40 kg. Find the average weight of the boys.

Q.

Find the average of all prime numbers between $30$ and $50$.

Q.

The average of four consecutive even numbers is $27$. The largest of these numbers is?

Q.

Find the mean of the first five composite numbers?

Q.

The average monthly salary of 20 workers in an office is Rs. 45900. If the manager's salary is added, the average salary becomes Rs. 49200 per month. What's manager's monthly salary?

Q.

Find the mean of the marks obtained by $30$ students in a school test, marks are: $10,20,36,92,95,40,50,56,60,70,92,88,80,70,72,70,36,40,36,40,92,40,50,50,56,60,70,60,60\text{~and~}88$

1. $59.2$
2. $58$
3. $57.3$
4. $59.3$

Q. The mean of $x$, $x$ + 2, $x$ + 4, $x$ + 6 and $x$ + 8 is 22, then find the mean of first three observations.

1. 20
2. 22
3. 24
4. 26

Q.

The average monthly salary of $20$ workers in an office is $Rs.7650$. If the manager’s salary is added, the average salary becomes $Rs.8200$ per month. What is the manager’s salary per month?

Q.

The aggregate monthly expenditure of a family was $Rs.18720$ during the first $3$ months, $Rs.20340$ during the next $4$ months and $Rs.21708$ during the last $5$ months of a year. If the total savings during the year be Rs. find the average monthly income of the family.

Q. The average age of 12 students is 16 years. If one more student is included and his age is 12 years more than the average age of 13 students, then the age of 13th student is

1. 28 years
2. 25 years
3. 27 years
4. 29 years

Q.

What is the average number of days in a month from January to August in a non - leap year?

1. 30

2. 30.33

3. 30.375

4. 29.5

Q.

Virat Kohli's scores in 8 innings are given as :

46 , 120 , 144 , 82 , 15 , 76 , 54 and 31.

What is his average?

1. 75

2. 67

3. 69

4. 71

Q.

The mean of the following data $1^2,2^2,3^2,4^2,........n^2$ is ______.

1. $\frac{(n+1)(2n+1)}{6}$

2. $\frac{n(n-1)(2n+1)}{6}$

3. $\frac{n(n+1)(2n-1)}{6}$

4. $\frac{n(n-1)(2n-1)}{6}$

Q.

Find the mean salary of $60$ workers of a factory from the following table:

$\begin{array}{cc}\text{Salary in Rs.}& \text{Number of workers}\\ 3000& 16\\ 4000& 12\\ 5000& 10\\ 6000& 8\\ 7000& 6\\ 8000& 4\\ 9000& 3\\ 10,000& 1\end{array}$

Q.

If the median and range of four numbers $\left\{\mathrm{x},\mathrm{y},2\mathrm{x}+\mathrm{y},\mathrm{x}-\mathrm{y}\right\}$, where $0<\mathrm{y}<\mathrm{x}<2\mathrm{y}$, are $10$ and $28$ respectively, then the mean of the numbers is:

Q.

The table shows the rainfall (in inches) for three months compared to the yearly average. Is the total rainfall for the three-month period greater than or less than the yearly average? Explain

Q. Plz explain the emperical formula of mode: 3median -- 2 mean. Prove it

Q. Rohit scored 92, 85, and 78 in three Maths tests. How much should he score in the 4th test so as to get an average of 87 in four Maths test?

1. 91 marks
2. 92 marks
3. 95 marks
4. 93 marks

Q.

Anil got the following marks in his mid term exam (Out of 100) :

Maths - 74

Science - 82

Social Studies - 90

ComputerScience - 94

English - 70

What was his average percentage marks?

1. 84

2. 80

3. 82

4. 88

Q.

The number of times the clock strikes 12 in a day is 2. Consider the day is January 1st today.

What is the average number of times will the clock will strike 12 in the next 3 months. (The Average should be taken according to number of days in the month.)

1. 2.5

2. 1.8

3. 2

4. 2.2

Q.

Sweets were distributed among 5 children namely A, B , C , D and E.

A got 13 Sweets and after that each child got 2 more than the previous child.

What is the average number of sweets each child got?

1. 18

2. 17

3. 15

4. 14

Q.

Solve the following word problem.

If each tanker carried $1,82,60,000ml$of petrol, how many litres of petrol was carried by $250$ tankers $?$ Also, if the total petrol was distributed to $500$ petrol pumps, calculate the average petrol in litres supplied to each petrol pump.

Q. If the difference of mode and median of a data is 24, then find the difference of median and mean.

Q. Which of the following is the empirical relation between mean, mode and median?

1. Mode = 2 Median - 3 Mean
2. Mean = 3 Median - 2 Mode
3. Median = 3 Mode - 2 Mean
4. Mode = 3 Median - 2 Mean

Q.

Find the mean of :

First $6$ multiples of $7$

Q. If the ratio of mean and median of a certain data is 2:3 then find ratio of its mode and mean.

Q. Mean, median and range are called measures of central tendency.

1. True
2. False

Q.

Find difference between mean and median. If the difference between mode and median of a data is 18, use the relation
Mode = 3 Median - 2 Mean.

1. 5

2. 4

3. 6

4. 9