Finding Mode for Grouped Data Wen Class Intervals Are Not Given

Q.

You_____obey your parents.(Modals) -

Q.

A sonometer wire of length 120 cm is divided into three segments of lengths in the ratio of 1:2:3. What is the ratio of their fundamental frequencies?

1. 5:3:2

2. 6:3:2

3. 3:2:1

4. 4:2:1

Q. What is the slope of the line joining the points $(x_1,y_1)$ and $(x_2,y_2)$?

1. $\frac{y_1}{x_2-x_1}$
2. $\frac{y_2-y_1}{x_2-x_1}$
3. $\frac{y_2}{x_1-x_2}$
4. $\frac{y_2}{x_2}$

Q. If the mode of the data: 16, 15, 17, 16, 15, x, 19, 17, 14 is 15, then x =

(a) 15
(b) 16
(c) 17
(d) 19

Q.

Find the mode of the following data class:

Marks	$0-20$	$20-40$	$40-60$	$60-80$	$80-100$	$100-120$	$120-140$
Frequency	$6$	$8$	$10$	$12$	$6$	$5$	$3$

Q.

Question 1
The following table shows the ages of the patients admitted in a hospital during a year:

$\begin{array}{ccccccc}\text{Age(in years)}& 5-15& 15-25& 25-35& 35-45& 45-55& 55-65\\ \text{Number of patients}& 6& 11& 21& 23& 14& 5\end{array}$

Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.

Q. Find the mode of the following data.

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

Q.

The mode of the following data is ____ .

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

1. 10
2. 12
3. 14
4. 16

Q.

The weight of coffee in $70$ packets are shown in the following table :

Weight (in g)	Number of packets
$200-201$	$12$
$201-202$	$26$
$202-203$	$20$
$203-204$	$9$
$204-205$	$2$
$205-206$	$1$

Determine the modal weight .

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. 5000
4. 4300

Q.

Find the mode of the given data.

$$\begin{array}{cc}\text{Class}& \text{Frequency}\\ 0-5& 200\\ 5-10& 250\\ 10-15& 225\\ 15-20& 300\\ 20-25& 275\end{array}$$

1. 18.25
2. 18.5
3. 18.75
4. 19.75

Q.

The given distribution shows the number of runs scored by some top batsmen of the world in one- day international cricket matches. Find the mode of the data.

Run Scored	Number of Batsman
$3000-4000$	$4$$={\mathrm{f}}_1$
$4000-5000$	$18$$={\mathrm{f}}_{\mathrm{m}}$
$5000-6000$	$9$$={\mathrm{f}}_2$
$6000-7000$	$7$
$7000-8000$	$6$
$8000-9000$	$3$
$9000-10000$	$1$
$10000-11000$	$1$

Q.

Find the mode of the following data.$$\begin{array}{cccccc}\text{Class interval}& 0-100& 100-200& 200-300& 300-400& 400-500\\ \text{Frequency}& 7& 11& 15& 9& 8\end{array}$$

1. 140
2. 200
3. 240
4. 300

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. 5000
4. 4300

Q.

Class Interval	Frequency
$1-5$	$3$
$6-10$	$8$
$11-15$	$13$
$16-20$	$18$
$21-25$	$28$
$26-30$	$20$
$31-35$	$13$
$36-40$	$8$
$41-45$	$6$
$46-50$	$4$

Compute the mode of the given data.

Q.

Find the mode of the given data.

$$\begin{array}{cc}Class& Frequency\\ 0-5& 200\\ 5-10& 250\\ 10-15& 225\\ 15-20& 300\\ 20-25& 275\end{array}$$

1. 19
2. 18.50
3. 18.75
4. 18.25

Q.

Find the mode of the given data:

Marks	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$
Frequency	$20$	$24$	$40$	$36$	$20$

Q. The mode of the following frequency distribution is

Marks	0 - 20	20 - 40	40 - 60	60 - 80	80 - 100
Frequency	5	10	20	10	15

1. 40
2. 50
3. 60
4. 70

Q.

Mode of the data:

$15,14,19,20,14,15,16,14,15,18,14,19,15,17,15$ is:

1. $14$

2. $15$

3. $16$

4. $17$

Q. For the next three (03) items that follow :
The number of telephone calls received in 245 successive one minute intervals at an exchange is given below in the following frequency distribution.

Number of calls	0	1	2	3	4	5	6	7
Frequency	14	21	25	43	51	40	39	12

What is the mode of the distribution ?

1. 3
2. 6
3. 4
4. 5

Q.

$Inanentranceexamtherewerefoursectionsof50markseach.$
$MarkssecuredbySatyamineachsectionisshownbelow:-$$$\begin{array}{ccccc}Subject& Aptitude& GeneralMathematics& GeneralAwareness& English\\ Marks& \text{45}& \text{40}& \text{35}& \text{40}\end{array}$$

What is the percentage marks scored by Satyam in each section?

1. 95%, 85%, 75%, 85%

2. 90%, 80%, 70%, 80%

3. 95%, 80%, 70%, 80%

4. 95%, 85%, 70%, 85%

Q. The following table gives the daily income of $50$ workers of a factory:

Daily income (in Rs.)	$100-120$	$120-140$	$140-160$	$160-180$	$180-200$
Number of workers:	$12$	$14$	$8$	$6$	$10$

Find the mean, mode and median of the above data

Q. The mode for the given data is ___ .

$$\begin{array}{cccccccc}\text{IQ}& 60-70& 70-80& 80-90& 90-100& 100-110& 110-120& 120-130\\ \text{No. of pupils}& 2& 3& 5& 16& 14& 13& 7\end{array}$$

Q. The age of the employees in a startup company is shown below.

$\begin{array}{cc}\text{Age}& \text{No. of Employees}\\ 18-26& 30\\ 26-34& 70\\ 34-42& 50\\ 42-50& 30\\ 50-58& 10\\ 58-66& 10\end{array}$

Find the modal age of the employees of the company.

Q.

For the following distribution, the modal class is?

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

[3 Marks]

Q. Find the mode of the data given below:

Q. Calculate Mode salary from the following frequency distribution:

X in Rs. (000)	10-20	20-30	30-40	40-50	50-60	60-70
Y Frequency	2	3	6	5	2	2

1. 37.5
2. 37
3. 38.5
4. 39

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)-A, (ii)-B, (iii)-C

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

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

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

Q.

Find the mode of the following data: $125,225,175,125,175,225,125,325,375,125,225$.

Q. The mode of the following data 8, 7, 9, 8, 7, 8, 10, 7, 10, 6, 7, 6, 10, 8, 6, 8 is ____

1. 6
2. 7
3. 10
4. 8