Calculate the mean and median for the following data. Using empirical formula, calculate mode.
Marks 10 12 15 18 20
Number of students 3 5 4 5 2
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Answer:
Given data set is 17,16,25,23,22,23,28,25,25,23
Arranging the data set in ascending order we get
16,17,22,23,23,23,25,25,25,28
Total number of values is 10
Mean is 116+17+22+23+23+23+25+25+25+28 divide by 10 =10227=22.7
Median is the middle value i.e., 5th+6th value divede by 2 is the median.
Therefore median is 23+33 divide by 2 =23
The empirical formula is mode=3median−2mean
⟹mode=3(23)−2(22.7)=69−45.4=23.6
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