CUET General Test: ArithmeticCentral Tendency. Free, no login required.

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

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

(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.

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:

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 $11$.

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:

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.