Mode of Raw Data

Q. A, B, C are three sets of values as given below:
A : 2, 3, 7, 1, 3, 2, 3
B : 7, 5, 9, 12, 5, 3, 8
C : 4, 4, 11, 7, 2, 3, 4
Which one of the following statements is correct?

1. Mean of C = Median of B
2. Mean of A = Mode of C
3. Median of B = Mode of A
4. Median of C = Mode of C

Q. Which of the following is correct for the given data :-
1, 0, 2, 3, 5, 5, 6, 8, 10, 11, 12

1. Mean = mode = median
2. Mode = median
3. Mean = mode
4. Mean = 5

Q.

The maximum frequency 10 is for the observation 4. Hence the mode of the data is

1. 4

2. 10

3. 2

4. 3

Q.

What is meant by mode of a given set of observations?

1. The frequency of an observation

2. The frequency of the highest observation

3. The value corresponding to maximum frequency

4. The value corresponding to minimum frequency

Q.

Find the mode.

Observation	3	6	7	9	10
Frequency	8	10	15	9	8

1. 6

2. 3

3. 7

4. 9

Q.

Ram appeared in his mid-term examination and his marks in different subjects were:-

$$\begin{array}{cc}\text{Subject}& \text{Marks}\\ \text{Science}& 75\\ \text{Maths}& 85\\ \text{Hindi}& 75\\ \text{English}& 75\\ \text{Social Science}& 65\end{array}$$

The mode of the above data is _____.

1. 25

2. 3

3. 85

4. 75

Q.

In a company, we need to find the central value of salaries of employees in all categories, i.e., I, II III, IV, then we must find

1. Modal Salary

2. Mean Salary

3. Median Salary

4. Either Modal Salary Or Mean Salary

Q. Question 9 (ii)
100 surnames were randomly picked up from a local telephone directory and a frequency distribution of the number of letters in the English alphabet in the surnames was found as follows:

$$\begin{array}{cc}Numberofletters& Numberofsurnames\\ 1-4& 6\\ 4-6& 30\\ 6-8& 44\\ 8-12& 16\\ 12-20& 4\end{array}$$
(ii) Write the class interval in which the maximum number of surname lie.

Q.

Ram appeared in his mid-term examination and his marks in different subjects were:-

$$\begin{array}{cc}\text{Subject}& \text{Marks}\\ \text{Science}& 75\\ \text{Maths}& 85\\ \text{Hindi}& 75\\ \text{English}& 75\\ \text{Social Science}& 65\end{array}$$

The mode of the above data is _____.

1. 25

2. 85

3. 3

4. 75

Q. Mode of the numbers 15, 14, 19, 20, 15, 18, 14, 19, 15, 17, 15 is:

1. 15
2. 16
3. 17
4. 14

Q.

Ram appeared in his mid-term examination and his marks in different subjects were:-

$$\begin{array}{cc}\text{Subject}& \text{Marks}\\ \text{Science}& 75\\ \text{Maths}& 85\\ \text{Hindi}& 75\\ \text{English}& 75\\ \text{Social Science}& 65\end{array}$$

The mode of the above data is ___

1. 75

Q.

Mode of the data
15, 14, 19, 20, 14, 15, 19, 14, 15, 20, 14, 19, 15, 15, 17 is

1. 14

2. 15

3. 18

4. 19

Q.

The height of 10 students in a class are (in cm):-
135, 143, 132, 149, 150, 143, 158, 124, 143, 152
Find the mode.

1. 135
2. 143
3. 152
4. 150

Q.

Michael appeared in an examination and obtained the following marks out of 100.

$$\begin{array}{cc}\text{Name}& \text{Michael}\\ \text{Physics}& 87\\ \text{Chemistry}& 82\\ \text{Biology}& 82\\ \text{Mathematics}& 98\end{array}$$

Measure the central tendency of the above data.

1. Mean = 87.25, Median = 84.5 and Mode = 82

2. Mean = 86.25, Median = 82 and Mode = 98

3. Mean = 87.25, Median = 81 and Mode= 87

4. Mean= 87.25, Median = 87 and Mode = 82

Q.

Ram appeared in his mid-term examination and his marks in different subjects were:-

$$\begin{array}{cc}\text{Subject}& \text{Marks}\\ \text{Science}& 75\\ \text{Maths}& 85\\ \text{Hindi}& 75\\ \text{English}& 75\\ \text{Social Science}& 65\end{array}$$

What is the mode of marks obtained by Ram?

1. 85

2. 3

3. 75

4. can't say

Q. Mode of the data 15, 14, 19, 20, 15, 18, 14, 19, 15, 17, 15 is:

1. 15
2. 14
3. 16
4. 17

Q. The following data shows the runs scored by different batsmen. Find the modal number of runs scored by the batsmen.
$$\begin{array}{cc}\text{Runs Scored}& \text{Number of batsmen}\\ 3000-4000& 4\\ 4000-5000& 18\\ 5000-6000& 9\\ 6000-7000& 7\\ 7000-8000& 6\\ 8000-9000& 3\\ 9000-10000& 1\\ 10000-11000& 1\end{array}$$

1. 4608.69
2. 4000
3. 4300
4. 5000

Q. Mode of a statistical data is the value of that variate which has the ______________.

1. minimum frequency
2. maximum frequency
3. equal frequency
4. any frequency

Q.

The marks obtained in physics by 10 students are:-
23, 19, 22, 25, 23, 17, 21, 23, 20, 14
What is the mode of the given data?

1. 19
2. 14
3. 23
4. 17

Q.

Ram appeared in his mid-term examination and his marks in different subjects were:-

$$\begin{array}{cc}\text{Subject}& \text{Marks}\\ \text{Science}& 75\\ \text{Maths}& 85\\ \text{Hindi}& 75\\ \text{English}& 75\\ \text{Social Science}& 65\end{array}$$

The mode of the above data is _____.

1. 85

2. 3

3. 75

4. 25