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CTET Measures of Central Tendency — practice questions

Explore 70 free Measures of Central Tendency questions in CTET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Measures of Central Tendency questions and exercises with answers

Showing questions 1–30 of 70.

Four friends scored 4, 8, 12 and 16 runs. What is the mean score?Read the answer and worked solution →The mean of 5 numbers is 12. What is the sum of the five numbers?Read the answer and worked solution →Four tests give an average of 15 marks. A fifth test gives 40 marks. What is the new average?Read the answer and worked solution →A few very large incomes are added to a list. Which centre measure shifts most?Read the answer and worked solution →Per capita income of a nation is which kind of statistic?Read the answer and worked solution →What is the mean of the first five natural numbers 1, 2, 3, 4 and 5?Read the answer and worked solution →A grocer sold 10, 20, 30, 40, 50 and 60 kg of rice on six days. What is the mean daily sale in kg?Read the answer and worked solution →The total of 8 observations is 96. What is their mean?Read the answer and worked solution →Six students average 70 marks. Five of them total 340 marks. What did the sixth student score?Read the answer and worked solution →Calling the mean not robust means that it isRead the answer and worked solution →Why can the mean of incomes miss the idea of a middle income?Read the answer and worked solution →A bus carried 14, 2, 9, 6 and 11 passengers on five trips. What is the median number?Read the answer and worked solution →Find the median of the data 12, 4, 8 and 6.Read the answer and worked solution →With an even number of observations, the median is usually taken asRead the answer and worked solution →Before finding the median, the data must first beRead the answer and worked solution →A list of 11 ordered values has its median at which position?Read the answer and worked solution →The median splits a data set into how many equal parts?Read the answer and worked solution →The median is the same as which percentile?Read the answer and worked solution →The median equals which quartile?Read the answer and worked solution →The 5th decile of any ordered data equals itsRead the answer and worked solution →Why is median income often a better summary than mean income?Read the answer and worked solution →Test scores graded F to A can still have a median becauseRead the answer and worked solution →Daily sales were 3, 3, 4, 5 and 100 units. Which measure shows a typical day best?Read the answer and worked solution →In a symmetric unimodal distribution, the median coincides with theRead the answer and worked solution →A few people fail a puzzle in the time given. Why can a median time still be found?Read the answer and worked solution →What is the median of the ten values 2, 4, 6, 8, 10, 12, 14, 16, 18 and 20?Read the answer and worked solution →What is the median of 15, 20, 10, 25, 30 and 5?Read the answer and worked solution →In statistics, the mode of a data set is the value thatRead the answer and worked solution →Find the mode of 2, 3, 3, 5, 7, 3 and 9.Read the answer and worked solution →A shop sold shoes of sizes 5, 6, 6, 7, 6, 8 and 7. Which size is the mode?Read the answer and worked solution →

Worked practice questions

Four friends scored 4, 8, 12 and 16 runs. What is the mean score?

  1. 8
  2. 14
  3. 12
  4. 10
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Correct answer: D. 10

1. Add all the scores: 4 + 8 + 12 + 16 = 40. 2. Divide by the number of scores, which is 4: 40 / 4 = 10. 3. The mean is therefore 10. Option 8 is only the second score and 12 is the third, neither is the sum divided by the count. 14 is just a larger score. _Source: Wikipedia, Arithmetic mean, Definition_

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The mean of 5 numbers is 12. What is the sum of the five numbers?

  1. 17
  2. 48
  3. 60
  4. 72
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Correct answer: C. 60

1. Mean = sum divided by the number of observations. 2. So sum = mean x count = 12 x 5. 3. 12 x 5 = 60. 17 adds instead of multiplies, 48 uses 4 numbers and 72 uses 6 numbers. _Source: Wikipedia, Arithmetic mean, Definition_

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Four tests give an average of 15 marks. A fifth test gives 40 marks. What is the new average?

  1. 18
  2. 25
  3. 22
  4. 20
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Correct answer: D. 20

1. The first four tests total 15 x 4 = 60 marks. 2. Adding the fifth test gives 60 + 40 = 100 marks over 5 tests. 3. New mean = 100 / 5 = 20. 18 and 22 come from guessing near 20, and 25 is the plain average of 15 and 40 ignoring how many tests there were. _Source: Wikipedia, Arithmetic mean, Definition_

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