Find the mean, median and mode of the following data .
C.I: 45–55 55–65 65–75 75–85 85–95 95–105 105–115,
f : 7 12 17 30 32 6 10.
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SOLUTION IS IN THE ATTACHMENT.
Direct method to find MEAN:
In this method find the class marks of class interval. These class marks would serve as the representative of whole class and are represented by xi. For each class interval we have the frequency fi corresponding to the class mark xi.
Class marks=( lower limit + upper limit)/2
Then find the product of fi, & xi for each class interval. Find Σ fi & Σfixi.
Use the formula :
Mean = Σfixi/ Σfi.
MODE:
Mode is that value of the given observation which occurs most frequently.
Mode = l + (f1-f0/2f1-f0-f2) ×h
l= lower limit of the modal class
h=size of the class intervals
f1=frequency of the modal class
f0=frequency of the class preceding the modal class
f2=frequency of the class succeed in the modal class.
We find MEDIAN by using empirical formula:
MEDIAN =[MODE +2(MEAN)]/3
HOPE THIS WILL HELP YOU...
Direct method to find MEAN:
In this method find the class marks of class interval. These class marks would serve as the representative of whole class and are represented by xi. For each class interval we have the frequency fi corresponding to the class mark xi.
Class marks=( lower limit + upper limit)/2
Then find the product of fi, & xi for each class interval. Find Σ fi & Σfixi.
Use the formula :
Mean = Σfixi/ Σfi.
MODE:
Mode is that value of the given observation which occurs most frequently.
Mode = l + (f1-f0/2f1-f0-f2) ×h
l= lower limit of the modal class
h=size of the class intervals
f1=frequency of the modal class
f0=frequency of the class preceding the modal class
f2=frequency of the class succeed in the modal class.
We find MEDIAN by using empirical formula:
MEDIAN =[MODE +2(MEAN)]/3
HOPE THIS WILL HELP YOU...
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