Question

Find the median )
15 20 25 30 35 40 45
Marks
No. of students 7 9 8 11 5 6 7

Answer 1

Explanation:

Cumulative frequency means the running total of frequencies or number of students. We can find the cumulative frequency by adding up the frequencies from the smallest to the largest value.

Marks No. of students Cumulative frequency

15 7 7

20 9 16

25 8 24

30 11 35

35 5 40

40 6 46

45 7 53

We can see that the total number of students is 53. Since this is an odd number, there is a single middle value. To find it, we need to locate the cumulative frequency that is greater than or equal to (n+1)/2, where n is the total number of students.

In this case, (n+1)/2 = (53+1)/2 = 27. So, the median will be the mark that corresponds to the 27th student. Looking at the cumulative frequency column, we can see that the 27th student falls within the range of marks 30-35, since the cumulative frequency at 35 is greater than 27 but the cumulative frequency at 30 is not. Therefore, the median mark is 30.

I hope this will help you. Even if not please don't warn me

Answer 2

To find the median, we first need to arrange the data in order from smallest to largest. However, we have two sets of data - the marks and the number of students for each mark. To find the median, we need to consider the marks as our data points and use the number of students to determine the frequency of each mark.

Arranging the marks in order from smallest to largest, we get:

15 20 25 30 35 40 45

To find the median, we need to determine the middle value(s) in the data set. Since we have an odd number of data points (7), there is a single middle value. The middle value is the fourth value, which is 30.

Therefore, the median mark is 30.