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CA Foundation Measures of Central Tendency and Dispersion — practice questions

Explore 69 free Measures of Central Tendency and Dispersion questions in CA Foundation Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Measures of Central Tendency and Dispersion questions and exercises with answers

Showing questions 1–30 of 69.

A shopkeeper's daily sales were 12, 15, 18, 20 and 25 units. What was the average daily sale?Read the answer and worked solution →The mean of five numbers is 24. What is the sum of the five numbers?Read the answer and worked solution →The mean of six numbers is 14. A seventh number, 28, is added. What is the new mean?Read the answer and worked solution →Twenty students average 40 kg. Adding the teacher makes the mean 41 kg. Teacher weighs:Read the answer and worked solution →40 students average 60 marks and 60 students average 70. The combined mean is:Read the answer and worked solution →Marks of 80 and 60 carry weights 3 and 2 respectively. What is the weighted mean?Read the answer and worked solution →Each of the values 10, 14, 18, 22 and 26 is increased by 5. What is the new mean?Read the answer and worked solution →The mean of a data set is 8. If every value is multiplied by 3, the new mean is:Read the answer and worked solution →What is the median of the values 7, 3, 9, 1 and 5?Read the answer and worked solution →What is the median of 4, 10, 6, 8, 12 and 2?Read the answer and worked solution →Find the median of the data 12, 7, 19, 3, 25, 16 and 9.Read the answer and worked solution →Find the mode of the values 3, 5, 5, 7, 8, 5, 9 and 7.Read the answer and worked solution →How many modes does the data set 2, 2, 4, 4, 6 have?Read the answer and worked solution →Daily temperatures recorded were 23, 45, 12, 67 and 34 degrees. What is their range?Read the answer and worked solution →The mean of five consecutive even numbers starting at 10 is:Read the answer and worked solution →Nine values have mean 50. The first five average 48 and the last five average 54. What is the fifth value?Read the answer and worked solution →The mean of 25 observations is 36. Later 43 was found to be misread as 34. What is the correct mean?Read the answer and worked solution →Five numbers have mean 27. After one is removed the other four average 25. What was the removed number?Read the answer and worked solution →Three numbers have mean 20. A fourth number is added and the mean becomes 25. What is the fourth number?Read the answer and worked solution →Three friends are aged 18, 20 and 24. A fourth joins and the group mean age is 22. How old is the fourth?Read the answer and worked solution →Classes 0-10, 10-20 and 20-30 have frequencies 4, 6 and 10. Using class midpoints, the mean is:Read the answer and worked solution →Classes 0-10, 10-20, 20-30 and 30-40 have frequencies 5, 8, 12 and 5. The median is about:Read the answer and worked solution →A mildly skewed distribution has mean 30 and median 28. The approximate mode is:Read the answer and worked solution →What is the population standard deviation of 2, 4, 4, 4, 5, 5, 7 and 9?Read the answer and worked solution →What is the standard deviation of the population 6, 6, 8, 8?Read the answer and worked solution →What is the population variance of 2, 4, 6, 8 and 10?Read the answer and worked solution →A data set has standard deviation 6. What is its variance?Read the answer and worked solution →A data set has variance 49. What is its standard deviation?Read the answer and worked solution →A set of marks has standard deviation 4. If 10 is added to every mark, the new standard deviation is:Read the answer and worked solution →A data set has standard deviation 5. Every value is multiplied by -2. The new standard deviation is:Read the answer and worked solution →

Worked practice questions

A shopkeeper's daily sales were 12, 15, 18, 20 and 25 units. What was the average daily sale?

  1. 19 units
  2. 20 units
  3. 17 units
  4. 18 units
Show answer and solution

Correct answer: D. 18 units

The five sales add up to 90 units and 90 divided by 5 gives 18.

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The mean of five numbers is 24. What is the sum of the five numbers?

  1. 240
  2. 124
  3. 100
  4. 120
Show answer and solution

Correct answer: D. 120

Mean times count gives the total, so 24 x 5 = 120.

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The mean of six numbers is 14. A seventh number, 28, is added. What is the new mean?

  1. 14
  2. 18
  3. 15
  4. 16
Show answer and solution

Correct answer: D. 16

The old total is 84, the new total is 112, and 112 divided by 7 is 16.

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