Test: Mode of Grouped Data - Class 10 MCQ

 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.

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.

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

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.

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.

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

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.

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.