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. 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 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.

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.

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:

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.

$Inanentranceexamtherewerefoursectionsof50markseach.$
$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. 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. 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. 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.

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.

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. Ages of players in a cricket team are $25,26,25,27,28,30,31,27,33,27,29$.
(i) Find the mean and mode of the data. (ii) Find the minimum number of players to be added to the above team so that mode of the data changes and what must be their ages.

1. (i) Mean $=25,$ Mode $=36$
   (ii) $3$ players of age $25$ years each
2. (i) Mean $=23,$ Mode $=32$
   (ii) $4$ players of age $25$ years each
3. (i) Mean $=28,$ Mode $=27$
   (ii) $2$ players of age $25$ years each
4. (i) Mean $=30,$ Mode $=25$
   (ii) $1$ players of age $25$ years each