CUET General Test Arithmetic > Central Tendency PYQs

If the mean of five observations x + 1, x + 2, x + 3, x + 4 and x + 5 is 15, then what is the mean of the first three observations?

In a class, the number of students who scored 61 or more marks is 30 and there are almost 39 students who have scored below 61 marks. If the average marks of the class is 48, then determine that what is the largest possible average marks of students who have scored below 61 marks?

Dittee has 10 purses and each of which having an average of 25 lipsticks in each purse. Further, it is known that each purse has a minimum of 8 lipsticks and none of the purse has identical number of lipsticks. Determine that what can be the maximum number of lipsticks that Dittee shall have in any of her purse?

Consider the following frequency distribution. | Class | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | |---|---|---|---|---|---|---|---| | Frequency | 4 | 5 | 7 | 10 | 12 | 8 | 4 | Find the median of the distribution?

Match List I with List II | List I | List II | |---|---| | Statistical Measure | Definition | | (A) Mode | (I) Sum of all observations divided by their count | | (B) Median | (II) Measure of the spread from the mean | | (C) Mean | (III) Central value when observations are arranged in order | | (D) Standard Deviation | (IV) Observation which has the highest frequency | Choose the correct answer from the options given below:

The median of a set of 11 distinct observations is 22.5. If each of the largest 5 observations of the set is increased by 5, then the median of the new set

The median and mean of 7 observations are 9 and 11 respectively. If 2 is subtracted from each observation, then the new median and the new mean will respectively be which of the following?

In the first 9 matches of a cricket tournament, the wickets taken by Jumpo are as follows: 3 2 0 1 3 0 5 1 4 Find the median of the number of wickets taken by Jumpo?

The average of nine numbers is 50. The average of the first five numbers is 54 and the average of the last three numbers is 52. Find the sixth number of this set of numbers?

The median of the observations 1, 13, 7, 19, 18, 15, 32, 28, 23, 24, 31 is:

The relation between Mean, Median and Mode for symmetrical distribution is:

The Mean and Median of 7 observations are 10 and 9, respectively. If 2 is subtracted from each observation, then the new Median and the new Mean will be:

2, 4, 5, 2, 4, 8, 2, 4, 7, 8, 12, 4, The mode of given data is:

The average of marks of 15 papers is 45. The average of marks of the first 8 papers is 48 and that of the last 8 papers is 40. The marks of the eight paper will be:

The median of the given data is: 7, 5, 2, 3, 6, 9, 1

The mean of 6 numbers is 19. If two more numbers are included, the mean of the 8 numbers becomes 23. What is the sum of the two included numbers?

The age distribution of 40 children is as follows | Age (in yr.) | 5 - 6 | 6 - 7 | 7 - 8 | 8 - 9 | 9 - 10 | 10 - 11 | |---|---|---|---|---|---|---| | No. of children | 4 | 7 | 9 | 12 | 6 | 2 | Consider the following statements in respect of the above frequency distribution. (A) The median of the age distribution is 7 yr. (B) 70% of the children are in the age group 6-9 yr. (C) The modal class of the children is 8-9 yr. Which of the above statements are true? Choose the correct answer from the options given below:

In a moderately asymmetrical distribution, the mode and mean are 31.5 and 34.5, respectively. Calculate the median:

If the data is not following a symmetrical distribution, then the relationship between mean, median and mode is:

Find the median of the following observations. 6, 49, 14, 46, 16, 42, 26, 32, 28

Read the information given in the table carefully and answer the question that follows: NUMBER OF CALCULATORS SOLD BY SHOPS P, Q, R, & S IN JUNE, JULY AND AUGUST | STATIONERY SHOP | JUNE | JULY | AUGUST | |-----------------|------|------|--------| | P | 112 | 100 | 130 | | Q | 100 | 88 | 124 | | R | 110 | 80 | 46 | | S | 96 | 94 | 86 | (A) The difference between the total number of calculators sold by shops P and Q together in August and the number of calculators sold by shops R and S together in June is 42 (B) The average number of calculators sold by Shop S in the three months is 92 (C) The respective ratio between the total number of calculators sold by shops P and Q in July and the total number of calculators sold by shop Q in August is 45 : 31 Choose the correct answer from the options given below:

Consider the following distribution. | Class Interval | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 | |---|---|---|---|---|---| | Frequency | 17 | 28 | 32 | f | 19 | f the mean of the above distribution is 50, find the value of f.

Read the information given below carefully and answer the question that follows: (A) If the mean of 5 numbers is 15 and then if 27 is included to the numbers, then the mean of the 6 numbers shall be 17 (B) The mean of marks of 300 students is 60, the mean of the top 100 students' marks is 80 and the mean of the last 100 students is 50, then the mean of the marks of the rest of the 100 students of the group is 60. (C) The mean and median of 5 observations is 9 and 8 respectively, if 1 is subtracted from each observation, then the new mean and median shall be 8 and 7 respectively Choose the correct answer from the options given below:

Find out the median of the following frequency distribution: | Variable | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | Total | |---|---|---|---|---|---|---|---|---|---| | Frequency | 5 | 7 | 11 | 9 | 8 | 7 | 3 | 5 | 55 |

The mode and median of a set of 7 observations are 22.72 and 49.28, respectively. If each of the largest 3 observations of the set is increased by 4, then the median of the new set?

The median of the observations: 12, 59, 14, 46, 18, 42, 26, 33, 22 is:

The average of $39$ numbers is $17$. Each number is multiplied by $12$ and then $16$ is added to each number. Finally, each number thus formed is divided by $11$. $$\newline$$ Determine the average of the new sets of numbers thus formed ?

The marks out of 50 obtained by 100 students in a test are given below as: | Marks obtained | 20 | 25 | 28 | 29 | 33 | 38 | 42 | 43 | |---|---|---|---|---|---|---|---|---| | Number of students | 6 | 20 | 24 | 28 | 15 | 4 | 2 | 1 | Find the value of the (3 mode - 2 median).

In a class of 40 students, ratio of boys and girls is 3:2 and the average marks scored by boys is 42 and that by girls is 46. Then the average marks scored by the whole class is :

If the mean of $3, 4, 9, 2k, 10, 8, 6$ and $(k + 6)$ is $8$, and mode of $2, 2, 3, 2p, (2p + 1), 4, 4, 5$ and $6$ is $4$ (p is a natural number), then the value of $(k - 2p)$ is:

What is the mode of the following data ? 4, 6, 5, 9, 3, 2, 7, 7, 6, 5, 4, 9, 10, 10, 3, 4, 7, 6, 9, 9

If the mean of 5 observations $x$, $x + 2$, $x + 4$, $x + 6$ and $x + 8$ is 11, then value of $x$:

For the data 11, 15, 13, 12, 10, 8, 11, 7, 15, 11, 13, 7, 11, which of the following is true?

Find the median of the following data : 42, 19, 46, 17, 8, 35, 26, 39, 29

Find the average of squares of first five natural numbers.

In a particular week, the average earning per day of a plumber from Monday to Wednesday remained Rs. 580 and that from Thursday to Saturday it was Rs. 612. If the average earning for the whole week was Rs. 675, then how much did he earn on Sunday ?

If mean of the data 5, 6, 8, 13, p+3, 8, 3 is 7 and its median is q, then find $\sqrt{p+q}$.

If mean of the numbers 2, $(2p + 2)$, 7, 13, 17, 4 and $(p - 1)$ is 8, then find their median.

Eight persons with an average weight of 49 kg were in a lift. Two more persons Anita and Kamal boarded the lift and the average weight of the persons in the lift increased by 2.8 kg. What is the average weight of Anita and Kamal?

The average weight of A, B and C is 60 kg. If the average weight of B and C is 50 kg and that of A and B is 53 kg, then what is the weight of B ?

Thirty six students of class IX contributed on an average Rs 42 towards flood relief fund whereas some students of class X contributed on an average Rs 54.50. If the overall average contribution per student remained Rs 47, then how many students of class X contributed ?

The average of first six multiples of 11 is :

If the average weight of 10 students is 25 kg and that of other 10 students is 35 kg, then the average weight of these 20 students is:

The mean of scores obtained by 50 students is found to be 79.5. Later on, it was found that the score of one student was read as 94 in place of 49 and the score of another student was read as 69 in place of 89. Find the correct mean.

The average of 12 numbers is 15 and the average of the first two numbers is 14. What is the average of the remaining numbers?

If the median of $\frac{x}{5}, x, \frac{x}{4}, \frac{x}{2}$ and $\frac{x}{3}$ (where $x > 0$) is 8, then the value of $x$ will be

The average of first 8 multiples of 8 is.

The average of the four consecutive odd number is 16. What is the difference between third and first number?

If the average of 3, 8, 9 and x is 8. Then, what is the value of x ?

If the mean of $x-3$, $x+4$, $2x-1$, $x+3$ is 2. The value of x is :

The average of first 99 positive integers is:

The average of the four consecutive odd numbers is 16. What is the third number in the descending order?

Ratio of the averages of first five (05) odd and first five (05) even natural numbers will be

The average of eight numbers is 6. If each number is multiplied by 5, then the average of the new set of numbers is

The average of 3 odd consecutive numbers is 15. What is the sum of first and last numbers?

The average age of group of 5 friends is 32 years. The youngest friend amongst them is 4 years old. What was the average age of the group at the time of birth of the youngest friend?

Find the mean of 12, 15, 7, 8 and 'x + 13', if x = 2

The sum of the ages of 5 children born at intervals of 3 years each is 50 years. What is the age of the youngest child?

The average of 3 even consecutive integers is 12. What is their product?

Find the average of following numbers. 12, 15, 18, 14, 16, 13, 25, 28, 23, 27