Averages and measures of spread

Omar has a set of number cards. He chooses these five cards: $-2, -4, -2, 4, 1$.

May/June 2015

In a survey, $50$ students were asked how much time they spent exercising in a single week. The outcomes are set out in the table.

May/June 2015

The number of goals scored in each of $50$ football matches was recorded, and the outcomes are shown in the table.

May/June 2016

Stella is heading to a park. She spends $4$ minutes walking at $80$ steps per minute, and then $1$ minute walking at $120$ steps per minute. Find the mean number of steps per minute she takes.

May/June 2016

Steven asked 25 women how many children they have, and the results are shown in the table below.

May/June 2016

The masses, measured in grams, of 8 apples are $189, 175, 185, 192, 202, 161, 174, 196$. Find the median mass.

May/June 2017

Usama noted how many items each of $20$ customers bought in a shop. The data are shown in the table.

May/June 2018

The five values listed are $0.05, -0.3, 1.3, -1.2, 0.2$.

May/June 2018

The water level, measured in cm, in a river is noted each week for 10 weeks. Relative to the normal level, the water heights are shown below. $-45, -30, -35, 0, 5, -10, -20, 40, 20, 25$

May/June 2019

A survey counted how many people lived in each of 50 houses. The bar chart presents the findings.

May/June 2021

A survey of 100 adults in a town asked how many emails each person received on one day. The table presents the findings.

May/June 2021

20 students were questioned about how many pets they owned. Their replies appear in the table.

May/June 2022

At midday the temperature is $8^{\circ}\text{C}$. By midnight it is $12^{\circ}\text{C}$ lower. Determine the temperature at midnight.

May/June 2023

Olga puts down five numbers. The median of these numbers is $12$. Their mode is $11$. Their range is $10$. The total of the numbers is $75$.

May/June 2024

A shop offers two varieties of apple tree.

May/June 2024

300 students are involved in a competition. The table gives the details of their scores.

May/June 2025

The table provides data on the ages of the 80 gym members.

May/June 2025

A set of five numbers has a mean of 3.8 and a median of 3. The numbers 3 and 6 are added to the set.

Oct/Nov 2015

Over one day, the temperature, in $^\circ\text{C}$, was measured at intervals of $2$ hours. The twelve readings are: $-3, -2, -1, 1, 2, 4, 5, 4, 2, 0, -2, -2$.

Oct/Nov 2016

A school kept a record of the number of absent students during a $50$-day period. The results are shown in the table.

Oct/Nov 2016

Over one week, the midnight temperatures, measured in degrees Celsius, were noted. The recorded values were $-1,-3,2,5,-2,1,-2$.

Oct/Nov 2017

Ali, Ben and Chris have a mean age of $14$ years $3$ months, while Dai is $15$ years and $3$ months old.

Oct/Nov 2017

Thirty students were surveyed about the number of days on which they ate pasta during the previous week.

Oct/Nov 2017

For a football team, the goals scored in each of their $20$ games were noted.

Oct/Nov 2020

The weather station logged the daily minimum temperatures, in $^\circ\text{C}$, over one week as follows: $-2.3,\,-4.6,\,-1.2,\,-0.7,\,-1.4,\,-2.4,\,-3.5$.

Oct/Nov 2020

The average of five numbers is $17$. Written from smallest to largest, the three least numbers are the same. The three middle numbers add up to $35$. The greatest number is four times the smallest number.

Oct/Nov 2021

Yasmin asks $20$ people how many pets they each own. The outcomes are displayed in the bar chart.

Oct/Nov 2023

A set of eight numbers has an average of $12$. The mean of the first five numbers is $9$.

Oct/Nov 2023

Sonu notes the temperature, in $^{\circ}\text{C}$, at midnight on each of 12 days. The readings, listed from the coldest upward, are $-6, -5, -3, -2, -1, -1, T, 5, 5, 6, 6, 7$

Oct/Nov 2023

This question comes from a bus timetable. Work out the time taken for the bus to travel from the town square to the business park.

Oct/Nov 2023

These eight integers are $-1, -5, -1, -3, -3, 2, -1, -7$.

Oct/Nov 2024

A bag has 10 plums. The average mass of 6 of the plums is 50 g. The average mass of the other 4 plums is 40 g.

Oct/Nov 2025

The table gives the times needed by 80 people to finish a race.

Oct/Nov 2025

The quiz scores for 12 students are: 16, 27, 20, 15, 25, 21, 10, 24, 35, 16, 32, 22.

Oct/Nov 2025