Finding Mode for Ungrouped Data
Trending Questions
What Is advantage and disadvantage of Mode?
Area of land (in hectares): 1-3 3-5 5-7 7-9 9-11 11-13
Number of families: 20 45 80 55 40 12
Find the modal agricultural holdings of the village .
The following data gives the distribution of total monthly household expenditure of 200 families of a village. Find the modal monthly expenditure of the families. Also, find the mean monthly expenditure.
Expenditure (in Rs) |
Number of families |
1000 − 1500 |
24 |
1500 − 2000 |
40 |
2000 − 2500 |
33 |
2500 − 3000 |
28 |
3000 − 3500 |
30 |
3500 − 4000 |
22 |
4000 − 4500 |
16 |
4500 − 5000 |
7 |
(a) 44
(b) 45
(c) 46
(d) 48
The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches.
Runs scored |
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 |
Find the mode of the data.
Question 6
A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarized it in the table given below. Find the mode of the data.
Number of cars0−1010−2020−3030−4040−5050−6060−7070−80Frequency71413122011158
Age (in years): | 16−18 | 18−20 | 20−22 | 22−24 | 24−26 |
Group A: | 50 | 78 | 46 | 28 | 23 |
Group B: | 54 | 89 | 40 | 25 | 17 |
The value of the observation which occurs most frequently in data is called
Mean
Mode
Median
Range
The following table shows the ages of the patients admitted in a hospital during a year:
age (in years) |
5 − 15 |
15 − 25 |
25 − 35 |
35 − 45 |
45 − 55 |
55 − 65 |
Number of patients |
6 |
11 |
21 |
23 |
14 |
5 |
Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.
Find the mode of the following data:
(i) 3, 5, 7, 4, 5, 3, 5, 6, 8, 9, 5, 3, 5, 3, 6, 9, 7, 4
(ii) 3, 3, 7, 4, 5, 3, 5, 6, 8, 9, 5, 3, 5, 3, 6, 9, 7, 4
(iii) 15, 8, 26, 25, 24, 15, 18, 20, 24, 15, 19, 15
Class-interval: | 10−15 | 15−20 | 20−25 | 25−30 | 30−35 | 35−40 |
Frequency: | 30 | 35 | 75 | 40 | 30 | 15 |
Expenditure (in Rs.) |
Frequency | Expenditure (in Rs.) |
Frequency |
1000−1500 1500−2000 2000−2500 2500−3000 |
24 40 33 28 |
3000−3500 3500−4000 4000−4500 4500−5000 |
30 22 16 7 |
Find the value of x, if the mode of the given data is 15:
15, 20, 18, 25, 14, 15, 25, 15, 18, 16, 20, 25, 20, x, 18
If both 20 and 18 are changed to 25, find the new mode of the data.
The measure of central tendency that is most suitable to find the average male or female height of the region is
Mean and mode
Mean
Median
Mode
The age wise participation of students in the Annual Function of a school is shown in the following distribution.
Age (in years)5−77−99−1111−1313−1515−1717−19Number ofstudentsx1518305048x
Find the missing frequencies when the sum of frequencies is 181. Also, find the mode of the data.
The mode of the given data 1, 7, 2, 4, 5, 9, 8, 3 is
9
5
No mode
1
Lifetimes (in hours) | 0−20 | 20−40 | 40−60 | 60−80 | 80−100 | 100−120 |
No. of components | 10 | 35 | 52 | 61 | 38 | 29 |
Determine the modal lifetimes of the components.
The following data gives the information on the observed lifetimes (in hours) of 225 electrical components:
Lifetimes (in hours) |
0 − 20 |
20 − 40 |
40 − 60 |
60 − 80 |
80 − 100 |
100 − 120 |
Frequency |
10 |
35 |
52 |
61 |
38 |
29 |
Determine the modal lifetimes of the components.
For the data 1, 5, 7, + 1, 9, – 2, 3, if the mean is 4. Find the value of . Using this value of , also find mode.
x = 2, mode = 3
x = 3, mode = 4
x = 2, mode = 8
x = 4, mode = 6
Find the mode of 14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18.
Which of the following is the mode of a set of observations?
The average value of data set
The middle most point of data set
Value with maximum frequency
Most important datum in data set
Monthly pocket money (in ₹) |
0−50 | 50−100 | 100−150 | 150−200 | 200−250 | 250−300 |
Number of students | 2 | 7 | 8 | 30 | 12 | 1 |
Find the modal class and also give class mark of the modal class.
Mode is defined as the
maximum frequency of a data element
maximum frequency of the maximum data element
maximum data element
datum element having maximum frequency
Age (in years) | 0−10 | 10−20 | 20−30 | 30−40 | 40−50 | 50−60 |
Number of patients | 16 | 13 | 6 | 11 | 27 | 18 |
Class | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 |
Frequency | 3 | 9 | 15 | 30 | 18 | 5 |
The modal class is
(a) 10-20
(b) 20-30
(c) 30-40
(d) 50-60
Age (in years): | 5−15 | 15−25 | 25−35 | 35−45 | 45−55 | 55−65 |
Number of patients: | 6 | 11 | 21 | 23 | 14 | 5 |
Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.
The age of the employees in a startup company is shown below.
AgeNo. of Employees18−263026−347034−425042−503050−581058−6610
Find the modal age of the employees of the company. [2 MARKS]
Age (years) | Less than 5 | 5 - 9 | 10 - 14 | 15 - 19 | 20 - 24 | 25 - 29 |
No. of patients | 38 | 32 | 50 | 36 | 24 | 20 |
Runs scored | Number of batsman | Runs scored | Number of Batsman |
3000−4000 4000−5000 5000−6000 6000−7000 |
4 18 9 7 |
7000−8000 8000−9000 9000−10000 10000−11000 |
6 3 1 1 |
Find the mode of data.
Which of the following is not a measure of central tendency?
Mode
Median
Range
Mean