Averages & Range (Cambridge (CIE) O Level Maths): Exam Questions

The mass, correct to the nearest kilogram, of each of 11 parcels is shown below.

24,   23,   23,   26,   25,   27,   18,   96,   16,   17,   32

Find the mode

. ............................................... kg

Give a reason why the mean would be an unsuitable average to use.

The table shows the different methods of travel for 20 people going to work.

Which type of average, mean, median or mode, can be used for this information?

Twenty students took a Science test and a Maths test.

Both tests were marked out of $50$

The table gives information about their results.

Use this information to compare the Science test results with the Maths test results.
Write down two comparisons.

Ed has 4 cards.
There is a number on each card.

The mean of the 4 numbers on Ed's cards is 10
Work out the number on the 4th card.

Jenny has six cards.
Each card has a whole number written on it so that

the smallest number is 5
the largest number is 24
the median of the six numbers is 14
the mode of the six numbers is 8

Jenny arranges her cards so that the numbers are in order of size.

For the remaining four cards, write on each dotted line a number that could be on the card.

Yusuf sat 8 examinations.
Here are his marks for 5 of the examinations.

For his results in all 8 examinations

the mode of his marks is 80 the median of his marks is 74 the range of his marks is 16

Find Yusuf’s marks for each of the other 3 examinations.

Given that  $a<b<c$ the four whole numbers $a,a,b$ and $c$ have

a mode of 7 a median of 8.5 a mean of 9

Work out the value of a, the value of b and the value of $c$.

$\begin{array}{rcl}a& =& ..................\\ b& =& ..................\\ c& =& ..................\end{array}$

The range, mode, median and mean of five positive integers are all equal to 10.
Find one possible set of these five integers.

$5n$ is the mean of the three numbers $391$, $n$ and $n-1$.

Find the value of $n$.

$n$ = ..................................................

Hertford Juniors is a basketball team.

At the end of 10 games, their mean score is 35 points per game. At the end of 11 games, their mean score has gone down to 33 points per game.

How many points did the team score in the 11 th game?

There are 18 packets of sweets and 12 boxes of sweets in a carton.

The mean number of sweets in all the 30 packets and boxes is 14 The mean number of sweets in the 18 packets is 10

Work out the mean number of sweets in the boxes.

There are 15 children at a birthday party.

The mean age of the 15 children is 7 years.

9 of the 15 children are boys.
The mean age of the boys is 5 years.

Work out the mean age of the girls.

Petra records the score in each test she takes.  
The mean of the first $n$ scores is $x$.
The mean of the first $(n-1)$ scores is $(x+1).$

Find the $n\text{th}$ score in terms of $n$ and $x$.
Give your answer in its simplest form.