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Exercises on Measures of Central Tendency

Test your knowledge on calculating central tendency measures like mean, mode, and median. Practice with engaging multiple-choice questions.

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Exercises on Measures of Central Tendency

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  1. Exercises on Measures of Central Tendency Enter

  2. There are seven multiple-choice questions in this exercise. Click the letter to select the corresponding answer. Enter

  3. Age Frequency 11 7 12 19 13 10 14 4 1. This is the frequency distribution of the ages of students in a class. Find out their mean age. A 12 B 12.3 C 12.5 19 D

  4. Age Frequency 11 7 12 19 13 10 14 4 Mean age Bingo！ Next question

  5. Age Frequency 11 7 12 19 13 10 14 4 Mean age 12 is the mode, not the mean. Try again！ Hints: Return

  6. Age Age Frequency Frequency 11 11 1 7 12 12 19 1 13 13 10 1 14 14 1 4 Mean Sorry! You forgot to count the frequencies! Try again! Hints: Mean age = ? Return

  7. Age Frequency 11 7 12 19 13 10 14 4 Mean age 19 is the frequency of 12 year-old. That means there are 19 students who are 12 years old. You should be looking for the mean of the students’ age. Try again! Hints: Return

  8. Weight（kg） Class mark, x kg Frequency 36-40 38 2 41-45 43 8 46-50 48 11 51-55 53 12 56-60 58 13 61-65 63 4 2. This is the frequency distribution of the weights of 50 members of a children’s choir. Find out their mean weight. A 50.5 kg B 51.8 kg C 56-60 kg

  9. (kg) Mean weight Bingo！ Next question

  10. Weight（kg） Class mark, x kg Frequency 36-40 38 2 41-45 43 8 46-50 48 11 51-55 53 12 56-60 58 13 61-65 63 4 56-60 kg is the modal class, not the mean weight. Try again! Hints： Mean weight Return

  11. Weight Weight（kg） Frequency Class mark, x kg Frequency 36-40 38 2 Mean weight 41-45 43 8 46-50 48 11 51-55 53 12 56-60 58 13 61-65 63 4 Sorry! You forgot to count the frequencies. Try again! Hints： Mean weight= ? Return

  12. Number of mobile phones Frequency 2 2 3 6 4 38 5 16 6 20 7 18 3. The table shows the number of mobile phones owned by 100 families. Find the mode. A 4 B 4.5 C 5 38 D

  13. Bingo！ Mode is the most frequent datum/data in a set of data. Therefore: Mode = 4 Next question

  14. 5 is the mean of mobile phones owned by each family, not the mode. Try again! Hints： Mode is the most frequent datum/data in a set of data. Return

  15. 38 is the frequency of 4. That means there are 38 families that have 4 mobile phones. You should be looking for the mode！ Try again! Hints： Mode is the most frequent datum/data in a set of data. Return

  16. Sorry, your answer is wrong. Try again! Hints： Mode is the most frequent data in a set of data. Return

  17. Time (minutes) Class mark (minutes) Frequency (days) 1-5 3 0 6-10 8 15 11-15 13 12 16-20 18 12 21-25 23 1 4. This is the frequency distribution of the time spent by Kelly on waiting for the bus last week. Find the modal class. A 6-10 minutes B 8 minutes C 12.9 minutes D 11-15 and 16-20 minutes

  18. Bingo！ Modal class is the most frequent class in a set of data. Therefore: Modal class = 6-10 minutes Next question

  19. 12.9 is the mean of the time spent on waiting for the bus, not the modal class. Try again! Hints： Modal class is the most frequent class in a set of data. Return

  20. 8 is the class mark of the class “6-10 minutes”. You should be looking for the modal class of the time spent by Kelly on waiting for the bus in the past 40 days. Try again! Hints： Modal class is the most frequent class in a set of data. Return

  21. Sorry, your answer is wrong. Try again! Hints： Modal class is the most frequent class in a set of data. Return

  22. Time（minutes） Class mark (minutes） Frequency (No. of person) 10-15 13 4 16-20 18 9 21-25 23 14 26-30 28 14 31-35 33 9 5. This is the frequency distribution of the time spent by 80 students in finishing a 3,000-meter track. Find the modal class. A 15.3 minutes B 16-20 and 31-35 minutes C 21-25 and 26-30 minutes

  23. Bingo！ Modal class is the most frequent class in a set of data. Therefore: Modal class = 21-25 and 26-30 minutes Next question

  24. 15.3 minutes is the mean of the time needed to finish a 3,000-meter track, not the modal class! Try again! Hints： Modal class is the most frequent class in a set of data. Return

  25. Sorry, your answer is wrong. Try again! Hints： Modal class is the most frequent class in a set of data. Return

  26. 100 90 80 70 Cumulative frequency (person) 60 50 40 30 20 10 0 7000 9000 13000 15000 17000 19000 23000 25000 5000 11000 21000 Salary (dollars) 6. This is the cumulative frequency polygon of the salaries of a company’s employees. Find the median. A 15000 dollars B 15400dollars C 15800dollars

  27. Bingo！ Since there are 90 employees in the company, there median can be found at the 45th employee. Therefore: Median=15000 dollars Next question

  28. Sorry, you didn’t pay attention to the cumulative number of employee. Hints： Since there are 90 employees in the company, there median can be found at the 45th employee. Try again! Return

  29. 45 40 35 Cumulative frequency (day) 30 25 20 15 10 5 0 20 40 60 80 100 120 Rainfall amount (mm) 7. This is the cumulative frequency polygon of rainfall in Island West during the past 40 days. Find the median. A 20 mm B 70 mm C 77 mm D 85 mm

  30. Bingo！ The median of rainfall in 40 days can be found at the 20th day. Therefore: Median = 70 mm End

  31. Sorry, you didn’t pay attention to the cumulative number of days. Try again! Hints： The median of rainfall in 40 days can be found at the 20th day. Return

  32. The End

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