Question 39
Measures of Central TendencyThe table below shows the scores of a group of 40 students in a Physics test.
Score: 1, 2, 3, 4, 5, 6, 7, 8, 9
Freq.: 2, 3, 6, 7, 9, 6, 2, 2, 3
If the mode is m and the median is n, then (m,n) is
- A.(5,5)
- B.(5,6)
- C.(6,5)
- D.(9,4)
- E.(9,5)
Show the answer and explanation
Answer: A ((5,5))
Explanation
The highest frequency (9) is at score 5, so m = 5. Cumulative totals 2, 5, 11, 18, 27 show the 20th and 21st scores are both 5, so n = 5.