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The following table shows the results (70%) of 230 students in introduction to statistics (AMU-2011 E.C). The median and mode of the results are 33.5 and 34 respectively.
Marks
Number of students
0-9
4
10-19
16
20-29
f3
30-39
f4
40-49
f5
50-59
6
60-69
4
Determine the following
The missing frequencies
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The following table shows the results (70%) of 230 students in introduction to statistics (AMU-2011 E.C). The median and mode of the results are 33.5 and 34 respectively.
Marks
Number of students
0-9=4
10-19=16
20-29=f?
30-39=f?
40-49=f?
50-59=6
60-69=4
To determine the missing frequencies, we need to find the total number of students and subtract the frequencies that are already given.
Total number of students = 230
Using the frequencies given, we can calculate the sum of the frequencies:
4 + 16 + f? + f? + f? + 6 + 4 = 34
Simplifying the equation, we have:
f? + f? + f? = 34 - (4 + 16 + 6 + 4) = 34 - 30 = 4
Since we have three missing frequencies and their sum is 4, each missing frequency would be 4/3 = 1.33 (approximately). However, since frequencies must be whole numbers, we can assign each missing frequency a value of 1.
Therefore, the missing frequencies are:
20-29 = 1
30-39 = 1
40-49 = 1