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Answers
Problem No.9
a. Find the mean percentage of the class.
b. What is the mode of the given class?
Question a.
To find the mean percentage, we should know the total percentage and the number of students.
Let's find the total percentage of the class.
6 students got 64% of marks. Their total: 384%.
5 students got 70% of marks. Their total: 350%.
8 students got 75% of marks. Their total: 600%.
6 students got 80% of marks. Their total: 480%.
7 students got 85% of marks. Their total: 595%.
3 students got 90% of marks. Their total: 210%.
The total percentage of the class is 2679%.
The number of students is 35.
Here is the calculation of the mean value.
So, the approximated mean value is 76.54%.
Question b.
The mode appears the most times in data.
If we arranged the data, it would look like this.
64%, 64%, 64%, 64%, 64%, 64% - 6 times
70%, 70%, 70%, 70%, 70% - 5 times
75%, 75%, 75%, 75%, 75%, 75%, 75%, 75% - 8 times
80%, 80%, 80%, 80%, 80%, 80% - 6 times
85%, 85%, 85%, 85%, 85%, 85%, 85% - 7 times
90%, 90%, 90% - 3 times
So, 75% appears the most times. The mode of the data is 75%.