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# OCR GCSE Maths Tables and charts Frequency tables represent large amounts of data in a more efficient way. The mean of grouped data = (frequency × class midpoint)/total frequency. This example tables test scores. In a frequency diagram, frequencies are plotted against the midpoints of each group and connected by straight lines. Cumulative frequency diagrams plot a running total frequency against the upper bounds of classes. Bar charts represent the frequency of grouped data by the height of bars, with gaps between the groups. Use a key when comparing 2 sets of data on the same bar chart. Pie charts are useful to visually represent and compare the sizes of sets of data; calculate the angles of each segment using the equation below. A protractor and compass are needed to draw pie charts. Vertical line charts represent ungrouped, discrete data with vertical lines that don’t touch each other. # ✅

The number of points scored by a quiz team in a year is shown in the frequency table below. In what month was the mode number of points scored? # ✅

The heights, h, in centimetres, of every tree in a park are: 334, 140, 386, 210, 236, 322, 213, 119, 151, 279, 395, 186, 128, 316, 102, 245, 375, 288, 302. Construct a grouped frequency table from this data. # ✅

Plot a frequency diagram from this table showing the heights, h, of a group of students:

height (cm), frequency;
150 < h ≤ 155, 1;
155 < h ≤ 160, 3;
160 < h ≤ 165, 5;
165 < h ≤ 170, 8;
170 < h ≤ 175, 4. # ✅

This cumulative frequency diagram shows the number of brownies sold in a café in a month. State 2 observations you can interpret from this graph. # ✅

Estimate how many people were between 18-20 years old from this cumulative frequency graph showing the ages of people at a concert. # ✅

20 people were asked how many hours they exercise in a week:

hours of exercise, frequency;
0 - 2, 4;
3 - 5, 9;
6 - 8, 5;
9 - 11, 2.

Construct a bar chart with the data in this table. # ✅

The number of classes a group of college students have in a week is shown in the bar chart below. Find the percentage of students who have more than 15 classes in a week. # ✅

From this bar chart, what is the modal number of hours spent on homework by a group of students in a week? # ✅

60 people were asked to choose a favourite meal; use the pie chart below to complete this table:

meal, frequency;
Pizza, ?;
Curry, ?;
Pasta, ?;
Burger, ?;
Fish and chips, ?. # ✅

This pie chart shows 50 customer’s favourite type of pie from a cafe. How many more people prefer blueberry pie over cherry pie? # ✅

This vertical line chart displays the results of a test taken by some students. What was the modal score? # ✅

Carl is a salesman and counts how many sales he makes per day for 2 months:

number of sales, frequency;
8, 14;
9, 25;
10, 11;
11, 18;
12, 20;
13, 15.

Construct a vertical line chart with this data. # ✅

Mark asked everyone in his year how many people they shared a car with on the way to school and draws a vertical line chart with the data. What is the modal number of people sharing a car?  Have you found the questions useful?