What are the sample median and the mode for males? The sample mean mark of the 50 male students is 8.30. If the sample mean for the entire sample is 8.42, what is the sample mean for the 75 female students?
To find the sample median and mode for males, we would need more information about the marks of the 50 male students. The median is the middle value when the data is arranged in ascending or descending order. If the number of data points is odd, then the median is the middle number itself. If the number of data points is even, then the median is the average of the two middle numbers.
The mode is the value or values that appear most frequently in the data set. To find the mode, we would need to know the exact marks of the 50 male students.
Regarding the second part of your question - finding the sample mean for the 75 female students - we can calculate it using the given information about the entire sample mean.
Let's assume there are a total of 125 students (50 male students + 75 female students) in the sample. The sample mean for the entire sample is 8.42. Multiplying the sample mean by the total number of students will give us the total sum of the marks:
8.42 * 125 = 1052.5
We know that the sum of the 50 male students' marks is 50 * 8.30 = 415.
To find the sum of the 75 female students' marks, we subtract the sum of the male students' marks from the total sum:
1052.5 - 415 = 637.5
Finally, we can calculate the sample mean for the 75 female students by dividing the sum of their marks by the total number of female students:
637.5 / 75 = 8.50
Therefore, the sample mean for the 75 female students is 8.50.