Question

find the median of the following data C-f:15-20,20-25,25-30,30-35 35-40 N=20,,F =2,3,6,4, I need full answers in direct method ​

Answer 1

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Answer 2

30.625 will be the median of the given data.

Step-by-step explanation:

CI F

15-20 3

20-25 8

25-30 9

30-35 10 <<<MODAL CLASS

35-40 3

40-45 2

(30-35) is modal class since it has highest frequency

therefore,

L=30

H=5

F0=9

F1=10

F2=3

Therefore,

MODE=L+(f1-f0/2f1-f0-f2)H

=30+(10-9/20-9-3)*5

=30+(1/8)*5

=30+0.625

=30.625

Learn More:-

The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. The median is sometimes used as opposed to the mean when there are outliers in the sequence that might skew the average of the values.

Finding Median:-

Arrange your numbers in numerical order.

Count how many numbers you have.

If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.