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CAT Averages — practice questions

Explore 10 free Averages questions in CAT Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Averages questions and exercises with answers

Showing questions 1–10 of 10.

Averages — true or false?Read the answer and worked solution →The mean of a set of observations is found by:Read the answer and worked solution →The three measures of central tendency are:Read the answer and worked solution →The average of the first 10 natural numbers is:Read the answer and worked solution →The average of 10 numbers is 45. A new number, 100, is added to the set. The new average is:Read the answer and worked solution →The class mark of the class interval 10-25 is:Read the answer and worked solution →The average of 6 numbers is 8. If the number 12 is removed, the average of the remaining 5 is:Read the answer and worked solution →In a branch, 30 clerks average 60 marks and 20 officers average 70. The average of all 50 staff is:Read the answer and worked solution →The average of 15 numbers is 12. The first 8 average 11 and the last 8 average 14. The 8th number is:Read the answer and worked solution →A batsman's average over 16 innings is 36. To raise the average to 38 in the 17th innings, he must score:Read the answer and worked solution →

Worked practice questions

Averages — true or false?

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Questions
  1. Statement is true
    Yes
    Statement
    Average of 1 to 10 is 5.5.
  2. Statement is true
    Yes
    Statement
    If average of 5 numbers is 12, sum is 60.
  3. Statement is true
    Yes
    Statement
    Average always lies between the smallest and largest value.
  4. Statement is true
    No
    Statement
    Adding a constant k to each value leaves the average unchanged.

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The mean of a set of observations is found by:

  1. Taking the middle value after sorting them
  2. Dividing the sum of the values by how many there are
  3. Taking the value that occurs most often
  4. Subtracting the smallest value from the largest
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Correct answer: B. Dividing the sum of the values by how many there are

1. The mean, also called the average, summarises a whole set with one number. 2. It is the sum of the values of all the observations divided by the total number of observations. 3. So both the total and the count are needed before it can be worked out. 4. The middle value after sorting is the median, and the most frequent value is the mode. 5. Largest minus smallest is the range, which measures spread rather than centre. _Source: syllabus Maths, Ch 13 'Statistics', S13.2 Mean of Grouped Data_

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The three measures of central tendency are:

  1. Mean, range and mode
  2. Median, range and total
  3. Mean, median and mode
  4. Mode, range and frequency
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Correct answer: C. Mean, median and mode

1. A measure of central tendency is a single number standing in for a whole data set. 2. The three studied are mean, median and mode. 3. The mean is the arithmetic average, the median the middle value, the mode the most frequent value. 4. Range is a measure of spread, not of centre, so any option containing it is wrong. _Source: syllabus Maths, Ch 13 'Statistics', S13.1 Introduction_

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More Quantitative Aptitude topics

Quantitative AptitudeAlgebraCAT QA — MixedProfit and LossRatio and ProportionTime and WorkPercentagesAverages and Mixtures