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SSC CGL Averages — practice questions

Explore 50 free Averages questions in SSC CGL 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

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SSC CGL · Averages — Quick T/FRead 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 →Find the average of all multiples of 7 from 7 to 70.Read the answer and worked solution →Six numbers have a total of 156. What is their arithmetic mean?Read the answer and worked solution →A class of 30 pupils has an average mark of 45. What is the total of all their marks?Read the answer and worked solution →The mean age of 20 boys is 15 years. If their teacher's age is included, the mean rises by 1 year. How old is the teacher?Read the answer and worked solution →A batsman averages 38 runs in 12 innings, then scores 90 in the 13th. What is his average now?Read the answer and worked solution →A player's average after 15 innings is 24. How many must he score in the 16th to make it 26?Read the answer and worked solution →A batsman scores 85 in his 17th innings and his average rises by 3. What is his average after the 17th innings?Read the answer and worked solution →A cyclist covers a route at 30 km/h and comes back at 60 km/h. What is the average speed over the whole trip?Read the answer and worked solution →A train runs half of its travel time at 40 km/h and the other half at 60 km/h. What is its average speed?Read the answer and worked solution →The average of seven consecutive even numbers is 30. What is the largest of them?Read the answer and worked solution →Four consecutive odd numbers have an average of 12. What is the greatest of them?Read the answer and worked solution →Four observations have a mean of 12. If 2 is added to every observation, what is the new mean?Read the answer and worked solution →The mean of a set of marks is 8. If every mark is multiplied by 3, what is the new mean?Read the answer and worked solution →Three numbers average 16 and the first two average 14. What is the third number?Read the answer and worked solution →A student averages 72 over five subjects. What must the sixth subject score to lift the average to 74?Read the answer and worked solution →The mean of the first three of four numbers is 12 and of the last three is 15. If the last number is 28, what is the first?Read the answer and worked solution →A cricketer scores an average of 48 in five matches. How many runs in the sixth give an average of 50?Read the answer and worked solution →The mean age of three friends is 30 years. What will their mean age be after 5 years?Read the answer and worked solution →Six numbers average 25. If 20 and 30 are taken out, what is the average of the remaining four?Read the answer and worked solution →What is the average of 1/2, 1/3 and 1/6?Read the answer and worked solution →

Worked practice questions

SSC CGL · Averages — Quick T/F

Read exercise and reference answers
Questions
  1. Statement is true
    Yes
    Statement
    Average of 2, 4, 6 is 4.
  2. Statement is true
    Yes
    Statement
    Average of first 5 natural numbers is 3.
  3. Statement is true
    Yes
    Statement
    If one value increases, the average always increases.
  4. Statement is true
    No
    Statement
    Average can be larger than the maximum value.
  5. Statement is true
    Yes
    Statement
    Average of n consecutive numbers = middle number when n is odd.
  6. Statement is true
    Yes
    Statement
    Average = Sum / Count.
Instructions
Decide each statement about averages.

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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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