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If the mode of the following data is 45,find x and y, given sigmafi=50 Class:10-20,20-30,30-40,40-50,50-60,60-70,70-80 Frequency: 4,8,x,12,10,4,y?
Verified Answer
If the mode of the following data is 45,find x and y, given sigmafi=50...
x = 10 and y= 2.
mode = l + f1 - fo/ 2f1 - f2 -f0 � h
45-40= 12- x/ 14 - x �10
mode = l + f1 - fo/ 2f1 - f2 -f0 � h
45-40= 12- x/ 14 - x �10
14- x = 24-2x
by solving this x= 10
and for y
y =50- total of frequency
y= 50 - 48
y = 2
by solving this x= 10
and for y
y =50- total of frequency
y= 50 - 48
y = 2
This question is part of UPSC exam. View all Class 10 courses
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If the mode of the following data is 45,find x and y, given sigmafi=50...
Introduction:
In this question, we are given a dataset and we need to find the values of x and y, given that the mode of the dataset is 45 and the value of sigmafi is 50.
Step 1: Finding the mode:
The mode of the dataset is given as 45. This means that the class interval with the highest frequency is 40-50.
Step 2: Finding the frequency of the 40-50 class interval:
We know that the frequency of the 40-50 class interval is 12, as this is the frequency corresponding to the mode.
Step 3: Finding the value of y:
We know that the total frequency of the dataset is 50. Therefore, the sum of the frequencies of all the class intervals must be equal to 50.
sigmafi = 4 + 8 + x + 12 + 10 + 4 + y = 50
Simplifying this equation, we get:
x + y = 12
Step 4: Finding the value of x:
We know that the frequency of the 40-50 class interval is 12. Therefore, the sum of the frequencies of all the class intervals except the 40-50 class interval must be equal to 50 - 12 = 38.
4 + 8 + x + 10 + 4 + y = 38
Simplifying this equation, we get:
x + y = 12
x = 6
Therefore, the values of x and y are 6 and 6, respectively.
Conclusion:
In conclusion, we have found that the values of x and y are 6 and 6, respectively, given that the mode of the dataset is 45 and the value of sigmafi is 50.
In this question, we are given a dataset and we need to find the values of x and y, given that the mode of the dataset is 45 and the value of sigmafi is 50.
Step 1: Finding the mode:
The mode of the dataset is given as 45. This means that the class interval with the highest frequency is 40-50.
Step 2: Finding the frequency of the 40-50 class interval:
We know that the frequency of the 40-50 class interval is 12, as this is the frequency corresponding to the mode.
Step 3: Finding the value of y:
We know that the total frequency of the dataset is 50. Therefore, the sum of the frequencies of all the class intervals must be equal to 50.
sigmafi = 4 + 8 + x + 12 + 10 + 4 + y = 50
Simplifying this equation, we get:
x + y = 12
Step 4: Finding the value of x:
We know that the frequency of the 40-50 class interval is 12. Therefore, the sum of the frequencies of all the class intervals except the 40-50 class interval must be equal to 50 - 12 = 38.
4 + 8 + x + 10 + 4 + y = 38
Simplifying this equation, we get:
x + y = 12
x = 6
Therefore, the values of x and y are 6 and 6, respectively.
Conclusion:
In conclusion, we have found that the values of x and y are 6 and 6, respectively, given that the mode of the dataset is 45 and the value of sigmafi is 50.
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If the mode of the following data is 45,find x and y, given sigmafi=50 Class:10-20,20-30,30-40,40-50,50-60,60-70,70-80 Frequency: 4,8,x,12,10,4,y?
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If the mode of the following data is 45,find x and y, given sigmafi=50 Class:10-20,20-30,30-40,40-50,50-60,60-70,70-80 Frequency: 4,8,x,12,10,4,y? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If the mode of the following data is 45,find x and y, given sigmafi=50 Class:10-20,20-30,30-40,40-50,50-60,60-70,70-80 Frequency: 4,8,x,12,10,4,y? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the mode of the following data is 45,find x and y, given sigmafi=50 Class:10-20,20-30,30-40,40-50,50-60,60-70,70-80 Frequency: 4,8,x,12,10,4,y?.
If the mode of the following data is 45,find x and y, given sigmafi=50 Class:10-20,20-30,30-40,40-50,50-60,60-70,70-80 Frequency: 4,8,x,12,10,4,y? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If the mode of the following data is 45,find x and y, given sigmafi=50 Class:10-20,20-30,30-40,40-50,50-60,60-70,70-80 Frequency: 4,8,x,12,10,4,y? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the mode of the following data is 45,find x and y, given sigmafi=50 Class:10-20,20-30,30-40,40-50,50-60,60-70,70-80 Frequency: 4,8,x,12,10,4,y?.
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