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For a grouped test score table the sum of frequency times midpoint is 1460.25 and the total frequency is 19. What is the best estimate of the class mean?
AThe estimate is 71.50
BThe estimate is 82.63
CThe estimate is 73.01
DThe estimate is 76.86
Answer & Solution
Correct answer: D. The estimate is 76.86
1. The mean of a frequency table is the sum of frequency times midpoint, divided by the total frequency.
2. The numerator is 1460.25 marks.
3. The denominator is 19 students.
4. Dividing 1460.25 by 19 gives 76.855.
5. Rounded to two places the best estimate of the class mean is 76.86 marks.
6. An estimate of 73.01 would follow from dividing by 20 students, and 82.63 from dividing by 17.68.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 2 "Descriptive Statistics", section 2.3 Measures of the Center of the Data_
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