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MICAT Averages — practice questions — page 2

Explore 47 free Averages questions in MICAT 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 31–47 of 47.

Order the steps: compare two groups by averageRead the answer and worked solution →True or false: averages that misleadRead the answer and worked solution →Which number would you quote?Read the answer and worked solution →Averages in practiceRead the answer and worked solution →Assertion and reason: averagesRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Complete the caution about averagesRead the answer and worked solution →Spot the odd one outRead 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

Order the steps: compare two groups by average

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Steps
  1. Compute the mean of each group
  2. Compare the two means to see which centres higher
  3. Compute a measure of spread for each group
  4. Check whether one group is far more scattered
  5. State the comparison with both facts, not just the averages
An average on its own can mislead, so the spread comes into the comparison too. Source: syllabus Maths, Ch 13 Statistics.

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True or false: averages that mislead

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Questions
  1. Statement is true
    Yes
    Statement
    A single very large value raises the mean.
  2. Statement is true
    No
    Statement
    The mean can sit outside the range of the data.
  3. Statement is true
    Yes
    Statement
    Two groups with equal means can differ widely in spread.
  4. Statement is true
    Yes
    Statement
    The range ignores everything but the two extremes.
  5. Statement is true
    No
    Statement
    Quoting only an average tells the whole story.
The mean is pulled by extremes because every value enters the total. Source: syllabus Maths, Ch 13 Statistics.

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Which number would you quote?

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Items
  1. Item
    Typical marks in the class
    Category
    Quote an average
  2. Item
    Where the scores centre
    Category
    Quote an average
  3. Item
    How consistent the scores were
    Category
    Quote a spread
  4. Item
    How far apart the best and worst were
    Category
    Quote a spread
Categories
  1. Item
    Quote an average
  2. Item
    Quote a spread
Different questions want different statistics. Source: syllabus Maths, Ch 13 Statistics.

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