Question

The scores of 20 students in a test is tabulated as follows. Find the mode of the data.


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Answer 1

Step-by-step explanation:

स्कूल ऑफ एक्सीलेंस इन टेस्टिस टैबलेट्स फॉलो

Answer 2

Answer:

Mode of the Given Data is 32.5

Step-by-step explanation:

we Have given in the Question

Marks of the students and Number of Students

Marks of the students are considered as Class Intervals.

And number of students is Frequency, so we can write it as

Class Intervals Frequency

10-20 1

20-30 6

30-40 7

40-50 4

50-60 2

As we know that the Modal Class is known as Highest Frequency, in the above given data the highest Frequency is 7

So, Modal class f1 = 7

on the upper side of modal class is shown as f0 and at the lower side it is shown as f2

f0= 6

f1= 4

The formula to find the mode is

L+ {f1-f0/ 2f1-f0-f2} ×H

H is the size of class H = higher limit - Lower limit

40-30=10

put the values in the formula

Mode= 30 + {7-6/2(7) -6-4} ×10

30+ 1/14-10× 10

30+10/4

30+2.5=32.5

therefore the Mode of a given Data is 32.5