The mean marks of the following distribution is:
| Marks Obtained | No. of Students |
|---|---|
| 36 | 12 |
| 35 | 11 |
| 93 | 18 |
| 17 | 5 |
Correct Answer :
56
Solution :
To find the mean marks of the given distribution, we use the formula for the weighted mean (or arithmetic mean of a grouped frequency distribution):
where represents the marks obtained, and represents the number of students (frequency) for each mark.
Step 1: Calculate the total number of students ()
Sum the frequencies in the "No. of Students" column:
Step 2: Calculate the sum of the product of marks and number of students ()
Multiply each mark by its corresponding number of students and add the results:
Now, sum these products:
Step 3: Calculate the mean
Divide the sum of the products by the total number of students:
Therefore, the mean marks of the distribution is 56.
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