Statistics

120 people visit a maze. 80 are children, the rest are adults. At the start of the maze you can turn left or right. 45 children turn left. 75 people in total turn left. Complete the frequency tree.

What fraction of the children turn left? Give your answer in its simplest form.

The table shows information about where students prefer to revise. Library: 30, Home: 68, In class: 37 Ed draws this bar chart to represent the data. Write down three mistakes he has made.

Each number in a list is increased by 10. For the statement "The mode is increased by 10", tick one box.

Each number in a list is increased by 10. For the statement "The median is increased by 10", tick one box.

Each number in a list is increased by 10. For the statement "The range is increased by 10", tick one box.

The table shows the number of workers at a company in different years. A time-series graph is drawn to represent the data. The first four points have been plotted. Complete the graph. <br/><br/> <table border="1" cellpadding="10" cellspacing="0"> <tr> <th>Year</th> <th>2015</th> <th>2016</th> <th>2017</th> <th>2018</th> <th>2019</th> <th>2020</th> <th>2021</th> <th>2022</th> </tr> <tr> <td>Number of workers</td> <td>29</td> <td>34</td> <td>42</td> <td>52</td> <td>62</td> <td>70</td> <td>76</td> <td>80</td> </tr> </table>

Estimate the number of workers at the company in 2023.

The table shows information about the ages of members of two clubs. Compare the average age and consistency of ages for the members of the two clubs. Average: Consistency: <br/><br/> <table border="1" cellpadding="15" cellspacing="0" style="border-collapse: collapse; font-family: Arial, sans-serif; font-size: 18px;"> <tr> <th></th> <th>Median age (years)</th> <th>Interquartile range<br>of ages (years)</th> </tr> <tr> <td>Swimming club</td> <td style="text-align: center;">21.2</td> <td style="text-align: center;">7.3</td> </tr> <tr> <td>Cycling club</td> <td style="text-align: center;">29.7</td> <td style="text-align: center;">4.6</td> </tr> </table>

Here are five numbers: 14.2, 15.1, 16.5, 16.7, 18.0. Work out the range.

Here are five numbers: 14.2, 15.1, 16.5, 16.7, 18.0. Work out the mean.

100 people voted in an election for Jo, Kim or Liam. The pictogram shows the results for Jo and Kim. Complete the pictogram for Liam.

Some people were asked to choose their favourite fruit. The pie chart shows information about the results. 120 people chose Banana. How many people chose Apple?

A village has four bus stops. The bar chart shows information about the people at the bus stops at 3 pm one day. Two people were at the Football ground bus stop. Show this information on the bar chart.

Using the bar chart from the previous question, how many more people were at the School bus stop than at the Post office bus stop?

8400 fans go to a rugby match. 6850 of the fans support the Home team. The remaining fans support the Away team. 20% of the Home fans wear a scarf. 2319 of all the fans wear a scarf. Complete the frequency tree.

Liz records the distance of some runs and the time each run takes. The table and scatter graph show some of the information. Complete the graph by adding the missing label and plotting the two missing points.

Describe the correlation shown in the scatter graph.

Here is a grouped frequency table. <br> <br> Work out an estimate of the mean value.

Two types of battery, P and Q, were tested. 100 of each type were put into clocks. The number of days each battery lasted was recorded. <br> The frequency table represents the results for type P. <br> On the grid, draw a cumulative frequency diagram to represent the data.

For type Q, the median was 126 days and the interquartile range was 57 days. <br> Compare the number of days that types P and Q lasted. <br> Make one statement about the average and one statement about the spread. <br> Use statistical measures to support your statements.

The table shows information about the number of houses with solar panels in a town. Complete the graph.

Use the graph to estimate the number of houses with solar panels in 2023.

The table shows information about the height of 40 plants. Draw a histogram to represent the heights. | Height, h cm | Frequency | |--------------|-----------| | 0 < h ≤ 5 | 6 | | 5 < h ≤ 15 | 15 | | 15 < h ≤ 25 | 9 | | 25 < h ≤ 50 | 10 |