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 for males, you need to order the individual marks from lowest to highest and then locate the middle value. If the number of values is odd, the median is the middle value. If the number of values is even, the median is the average of the two middle values.
To find the mode for males, you need to determine which mark occurs most frequently, or in other words, the mark with the highest frequency.
Unfortunately, there is no information provided about the individual marks for male students, so we cannot find the sample median or mode values for males.
However, we know that the sample mean mark for the 50 male students is 8.30. The sample mean for an entire sample is the sum of all individual values divided by the total number of values. Given that the sample mean for the entire sample is 8.42, we can calculate the sum of all the marks for the entire sample by multiplying the sample mean by the total number of values.
Let's assume the number of female students in the entire sample is 75. We can use the formula for the sample mean to find the sum of the marks for the entire sample:
Mean = Sum of all values / Total number of values
8.42 = Sum of all marks / (50 + 75)
Now we can solve for the sum of all the marks:
Sum of all marks = 8.42 * (50 + 75)
Once we have the sum of all the marks, we can calculate the sample mean for the 75 female students. We divide the sum of all the marks by the total number of female students (75) to find the sample mean for the 75 female students.
Please note that without more information about the individual marks of the male students, we cannot provide the exact values for the sample median, mode, or the sample mean for the 75 female students.