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Class 10 Exam  >  Class 10 Questions  >  In a data, if l = 60, h = 15, f1= 16, f0= 6, ... Start Learning for Free
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In a data, if l = 60, h = 15, f1 = 16, f0 = 6, f2 = 6, then the mode is
  • a)
    60
  • b)
    72
  • c)
    67.5
  • d)
    none of these
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
In a data, if l = 60, h = 15, f1= 16, f0= 6, f2= 6, then the mode isa)...
Mode=l+(f1-f0/2f1-f0-f2)×h
=60+(16-6/2×16-6-6)×15
=60+(10/20)×15
=60+(1/2)×15
=60+15/2
=60+7.5
=67.5.
Therefore the mode is 67.5.
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Community Answer
In a data, if l = 60, h = 15, f1= 16, f0= 6, f2= 6, then the mode isa)...
Mode is the number that appears most frequently in a set of data. In this case, we are given the values of l, h, f0, f1, and f2.

To find the mode, we need to compare the frequencies of each number.

Step 1: Identify the numbers
From the given data, we have the following numbers:
l = 60
h = 15
f0 = 6
f1 = 16
f2 = 6

Step 2: Calculate the frequencies
The frequencies of each number are given by f0, f1, and f2.
f0 = 6
f1 = 16
f2 = 6

Step 3: Compare the frequencies
To find the mode, we compare the frequencies of each number. In this case, we see that f1 has the highest frequency of 16. Therefore, the mode is the number corresponding to f1.

Step 4: Find the corresponding number
The number corresponding to f1 is 60. Therefore, the mode is 60.

Explanation:
The mode is determined by the frequency of each number. In this case, the number 60 has the highest frequency of 16, which is greater than the frequencies of all other numbers. Hence, the mode is 60.

Therefore, the correct answer is option C) 67.5.
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In a data, if l = 60, h = 15, f1= 16, f0= 6, f2= 6, then the mode isa)60b)72c)67.5d)none of theseCorrect answer is option 'C'. Can you explain this answer?
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