Question
Download Solution PDFMarks obtained by some students of a class are 36, 37, 31, 42, 23, 38, 17, 18, 35, 25, 29 and 35. The difference of the mean and the range of the data is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Mean: The mean (average) of a set of numbers is calculated by dividing the sum of all the numbers by the count of numbers.
Range: The range of a set of numbers is the difference between the largest and smallest numbers in the set.
Explanation:
Mean = Total Sum / Number of Students
⇒ (36 + 37 + 31 + 42 + 23 + 38 + 17 + 18 + 35 + 25 + 29 + 35) / 12
⇒ 366 / 12 = 30.5
Range:
Maximum marks: 42
Minimum marks: 17
Range = Maximum - Minimum = 42 - 17 = 25
Difference between Mean and Range:
Difference = Mean - Range = 30.5 - 25 = 5.5
Hence, the correct answer is 5.5.
Last updated on Apr 30, 2025
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