Relationship between Mean, Mode, and Median

Q.

For a symmetrical distribution, which is correct

1. Mean = Median = Mode

2. Mean > Mode > Median

3. 

4. Mean < Mode < Median

Q. In the graphical representation of a frequency distribution, if the distance between mode and mean is k times the distance between median and mean, then write the value of k.

Q. The marks obtained by 30 students in a class assessment of 5 marks is given below:
$$\begin{array}{ccccccc}Marks& 0& 1& 2& 3& 4& 5\\ No.ofStudents& 1& 3& 6& 10& 5& 5\end{array}$$\)
Calculate the mean, median and mode of the above distribution. [3 MARKS]

Q.

The average marks of the students in Mathematics of class $8^{th}$ is 45. But most of the students were given 60 out of 100.The Median of the class would be___

Q.

Which of the following represents an empirical relationship between Median, Mode and Mean?

1. 3 Mode= Median + 2 Mean

2. Mode =3 Median - 2 Mean

3. 3 Mean= Median + 2 Mode

4. can't say.

Q. Which of the values of median, mode and mean respectively satisfy the empirical relation between them.

1. 1, 4, 3
2. 2, 4, 1
3. 2, 2, 2
4. 4, 6, 3
5. 4, 4, 4
6. 3, 6, 4
7. 4, 8, 2
8. 2, 8, 4

Q. Which of the values of median, mode and mean respectively satisfy the empirical relation between them.

1. 1, 4, 3
2. 2, 4, 1
3. 2, 2, 2
4. 4, 4, 4
5. 4, 8, 2
6. 3, 6, 4
7. 2, 8, 4
8. 4, 6, 3

Q. Which of the values of median, mode and mean respectively satisfy the empirical relation between them.

1. 4, 8, 2
2. 2, 2, 2
3. 2, 4, 1
4. 3, 6, 4
5. 4, 4, 4
6. 2, 8, 4
7. 4, 6, 3
8. 1, 4, 3

Q.

Which of the following represents an empirical relationship between Median, Mode and Mean?

1. 3 Mode= Median + 2 Mean

2. Mode =3 Median - 2 Mean

3. 3 Mean= Median + 2 Mode

4. can't say.

Q. Which of the values of median, mode and mean respectively satisfy the empirical relation between them.

1. 3, 6, 4
2. 2, 4, 1
3. 2, 2, 2
4. 4, 4, 4
5. 2, 8, 4
6. 4, 6, 3
7. 4, 8, 2
8. 1, 4, 3

Q. Test scores out of $100$ for a class of $20$ students are as follows:
$93,84,97,98,100,78,86,100,85,92,55,91,90,75,94,83,60,81,95$
Find the interval that contains the median

1. $71-80$.
2. $81-90$
3. $71-90$.
4. None of these

Q. Which of the values of median, mode and mean respectively satisfy the empirical relation between them.

1. 4, 6, 3
2. 2, 2, 2
3. 2, 8, 4
4. 4, 8, 2
5. 4, 4, 4
6. 2, 4, 1
7. 1, 4, 3
8. 3, 6, 4

Q.

The average marks of the students of class $8^{th}$ in Mathematics is 45. But most of the students were given 60 out of 100.The Median of the class would be:

1. 60

2. 50

3. 40

4. 30

Q.

The marks obtained by 10 students in a test are 60 , 72 , 64, 56 , 52 , 71 , 54 , 62 and 59. Find the median of the marks

1. 40

2. 30

3. 50

4. 60

Q.

Find the arithmetic mean of the first 3 positive integers and first 3 negative integers ( do not include 0 )

1. can't say.

2. Mode =3 Median - 2 Mean

3. 3 Mean= Median + 2 Mode

4. 3 Mode= Median + 2 Mean

Q.

The marks obtained by 10 students in a test are 60 , 72 , 64, 56 , 52 , 71 , 54 , 62 and 59. Find the median of the marks

1. 55

2. 36

3. 56

4. 65