Mode

Q.

The relation between mean, median, and mode is

1. $\mathrm{Mode}=3\left(\mathrm{Median}\right)-2\left(\mathrm{Mean}\right)$

2. $\mathrm{Mode}=2\left(\mathrm{Median}\right)-3\left(\mathrm{Mean}\right)$

3. $\mathrm{Mode}=3\left(\mathrm{Mean}\right)-2\left(\mathrm{Median}\right)$

4. $\mathrm{Mode}=2\left(\mathrm{Mean}\right)-3\left(\mathrm{Median}\right)$

Q. Find the missing frequency (x) of the following distribution, if mode is 24.5:

$\begin{array}{cccccc}\text{Marks obtained}& 0-10& 10-20& 20-30& 30-40& 40-50\\ \text{Number of students}& 4& 8& 10& x& 8\end{array}$

Q. Draw a histogram from the following frequency distribution and find the mode from the graph: [4 MARKS]
$\begin{array}{cc}Class& Frequency\\ 0-5& 2\\ 5-10& 5\\ 10-15& 18\\ 15-20& 14\\ 20-25& 8\\ 25-30& 5\end{array}$

Q.

The value of the observation having greatest frequency is called____.

1. Mean

2. Median

3. Mode

4. All of above

Q. If empiricial relationship between mean, median and mode is expressed as mean = k(3 median - mode), then find the value of k.

Q.

Among the observations, the value whose frequency is maximum, is known as:

1. Mean

2. Medium

3. Mode

4. Geometric Mean

Q.

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

1. The value corresponding to maximum frequency.

2. None of these

3. The frequency of an observation

4. The frequency of the most frequently occuring observation.

Q.

Calculate mode of the following data:
20, 60, 70, 70, 60, 70, 60, 10, 70, 80

1. 60

2. 70

3. 20

4. 80

Q.

If the frequencies of the observations are doubled, then the mode will:

1. increase

2. decrease

3. unchanged

4. Can't be determined

Q.

Find the mode of the following frequency distribution:

Class interval: $25-30,30-35,35-40,40-45,45-50,50-55$

Frequency: $25,34,50,42,38,14$

Q.

The mode of the given data :15, 22, 17, 19, 21, 17, 29, 24, 17, 15 is 15

1. 21.85

2. 22.85

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.

How do you know if a sample size is large enough?

Q. A list of 11 positive integers has a mean of 10, a median of 9, and a unique mode of 8. What is the largest possible value of an integer in the list?

1. 31
2. 38
3. 35
4. 30

Q.

Find the mode and median of the following frequency distribution table
$\begin{array}{ccccccc}x& 10& 11& 12& 13& 14& 15\\ f& 1& 4& 7& 5& 9& 3\end{array}$

1. 14 , 13

2. 20 , 21

3. 13 , 14

4. 10 , 13

Q.

Find the mode of the following data.

$\begin{array}{cc}{x}_i& f_i\\ 10& 10\\ 14& 15\\ 18& 7\\ 21& 9\\ 25& 9\end{array}$

1. 14

2. 15

3. 12

4. 10

Q.

What is the need of pi?

What does it actually mean?

Q.

Find the mode from the following frequency distribution table

$$\begin{array}{ccccc}{x}_i& \text{10}& \text{13}& \text{16}& \text{19}\\ f_i& \text{25}& \text{15}& \text{7}& \text{26}\end{array}$$

1. 19

2. 25

3. 16

4. 26

Q.

Match the following
$\begin{array}{cc}\text{(i) Mean}& \text{A. Typical value}\\ \text{(ii) Median}& \text{B. Most popular~value}\\ \text{(iii) Mode}& \text{C. Gets highly affected by extreme values}\end{array}$

1. (i)-B, (ii)-C, (iii)-A

2. (i)-B, (ii)-A, (iii)-C

3. (i)-C, (ii)-A, (iii)-B

4. (i)-A, (ii)-B, (iii)-C

Q.

Calculate the mean, median and mode of the following frequency

distribution:Classintervals:15 - 20 20 - 25 25 - 30 30 - 35 35 - 40 40 45 45 - 50 50 55Frequency: 3 8 9 10 4 3 2 1Draw the less than and more than O give (Cumulative Frequency Curve) for theabove data and hence find the median.

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

1. Mean of P = Mode of R
2. Mean of R = Median of Q
3. Median of Q = Mode of P
4. Median of R = Mode of R

Q.

Mode of the data is always from the given data. Say true or false.

1. True
2. False

Q.

The following data gives the marks obtained by students in an exam.

$\begin{array}{cc}\text{Class interval}& \text{Frequency}\\ Below10& 5\\ Below20& 10\\ Below30& 23\\ Below40& 31\\ Below50& 45\\ Below60& 49\end{array}$

(i)Convert the cumulative distribution to a regular distribution.

(ii)Calculate the mode. [3 MARKS]

Q.

For the following distribution, the modal class is

$\begin{array}{cc}Marks& Numberofstudents\\ Below10& 3\\ Below20& 12\\ Below30& 27\\ Below40& 57\\ Below50& 75\\ Below60& 80\end{array}$

Q. Find the mode and match with its data set.

1. 2
2. 10
3. 54
4. 1

Q. Find the mode and match with its data set.

1. 1
2. 54
3. 2
4. 10

Q. Find the mode and match with its data set.

1. 54
2. 1
3. 2
4. 10

Q. Mean is the only measure of central tendency.

1. True
2. False

Q. The median of $11,2,7,8,9,3,5,$ is :

1. $7$
2. $9$
3. $5$
4. $10$

Q. Find the mode and match with its data set.

1. 2
2. 10
3. 54
4. 1