Test: Mode of Grouped Data - Class 10 MCQ

# Test: Mode of Grouped Data - Class 10 MCQ

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## 10 Questions MCQ Test Mathematics (Maths) Class 10 - Test: Mode of Grouped Data

Test: Mode of Grouped Data for Class 10 2024 is part of Mathematics (Maths) Class 10 preparation. The Test: Mode of Grouped Data questions and answers have been prepared according to the Class 10 exam syllabus.The Test: Mode of Grouped Data MCQs are made for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Mode of Grouped Data below.
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Test: Mode of Grouped Data - Question 1

### The modal class in the following frequency distribution is:

Detailed Solution for Test: Mode of Grouped Data - Question 1

The modal class is the class with the highest frequency ie, the class which occurs the most. So,30-40 has frequency 30 which is the highest, therefore, 30-40 is the modal class.

Test: Mode of Grouped Data - Question 2

### Modal age of students in given distribution is​

Detailed Solution for Test: Mode of Grouped Data - Question 2

Mode is the most frequently occurring observation. Since it's not a grouped data the frequency is the occurrence of only one observation , So the highest no. of frequency is 7 . So the modal age is 13.

Test: Mode of Grouped Data - Question 3

### Modal class of the following distribution is ​

Test: Mode of Grouped Data - Question 4

What is the mode of the given data?​

Detailed Solution for Test: Mode of Grouped Data - Question 4

Mode=
Where L=lower limit of the modal class =20
f1= modal class frequency.=27
f2 = just after the modal class frequency.=21
f0 = just previous the modal class frequency=23
C = Class size=10
Mode=
=20+4=24

Test: Mode of Grouped Data - Question 5

The age of 18 students of a class is reported below. Their modal age is 10, 17, 14, 10, 11, 12, 12, 13, 17, 13, 14, 14, 15, 16, 17, 15, 17, 16​

Detailed Solution for Test: Mode of Grouped Data - Question 5

Mode is the highest number of times an observation occurs, which means the number that appears most frequently in a set. So modal age is the age which occurs maximum number of times. It is evident that 17 occurs most of the times. So, modal age is 17 years.

Test: Mode of Grouped Data - Question 6

The lower limit of the modal class of the following data is:

Detailed Solution for Test: Mode of Grouped Data - Question 6

Modal class is the interval which has the highest frequency ie, which occur most of the times.Here highest frequency is 13 in the class interval 20-30. So lower limit of the class interval is 20.

Test: Mode of Grouped Data - Question 7

Find out the mode of the following data:

Detailed Solution for Test: Mode of Grouped Data - Question 7

The mode of a set of data values is the value that appears most often .So mode is the most occurrence of observation.
Converting the distribution in continuous grouped and applying the formula
Mode=
Modal class is 400-500
Where L=lower limit of the modal class =400
f1= modal class frequency=32
f2 = just after the modal class frequency=20
f0 = just previous the modal class frequency=20
C = Class size=100
Mode=
=400+50=450

Test: Mode of Grouped Data - Question 8

Mode is not affected by

Detailed Solution for Test: Mode of Grouped Data - Question 8

The mode of a set of data values is the value that appears most often.it is the value that is most likely to be sampled This means mode is the observations whose frequency is highest. So it does not pay attention to what is the maximum value or the minimum value . So it is not affected either by maximum or minimum values and its not affected by both as well.

Test: Mode of Grouped Data - Question 9

For the following distribution the modal class is

Detailed Solution for Test: Mode of Grouped Data - Question 9

To find the modal class from a given frequency distribution, we look for the class interval with the highest frequency. The class interval with the highest frequency is referred to as the modal class.

In the provided distribution, we have cumulative frequencies, so we need to first determine the frequency of each class interval. To do this, we subtract the cumulative frequency of the preceding class from the cumulative frequency of the current class.

Here are the cumulative frequencies provided for each class:

• Marks below 10: 2 students
• Marks below 20: 11 students
• Marks below 30: 25 students
• Marks below 40: 45 students
• Marks below 50: 67 students
• Marks below 60: 75 students

Now let's calculate the frequency for each class interval:

• 10-20: 11−2=911−2=9
• 20-30: 25−11=1425−11=14
• 30-40: 45−25=2045−25=20
• 40-50: 67−45=2267−45=22
• 50-60: 75−67=875−67=8

The class interval with the highest frequency is 40-50 with 22 students, making it the modal class. Therefore, the correct answer is option 2: 40-50.

Test: Mode of Grouped Data - Question 10

The mode of 12, 17, 16, 14, 13, 16, 11, 14 is

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