Video: AQA GCSE Mathematics Foundation Tier Pack 3 • Paper 1 • Question 4

The table shows the different types of cake at a cake sale. Draw a bar graph to show the information.

02:49

Video Transcript

The table shows the different types of cake at a cake sale. There were two carrot cakes sold, six Victoria sponges sold, three Battenberg cakes sold, and 20 cupcakes sold. Draw a bar graph to show the information.

The first thing we need to do is draw a scale on our 𝑦-axis. The 𝑦-axis is the vertical axis. When we’re drawing our scale, we need to make sure that each one of the values is evenly spaced apart. So here, we have five, 10, 15, and 20. It’s also worth noting that where the 𝑥-axis meets the 𝑦-axis, so the horizontal meets the vertical, it’s zero.

So now, we have an evenly spaced 𝑦-axis. And I’ve decided what the top value would be by having a look at the values in our table. And you can see that the highest value is 20. So therefore, we need at least up to this on our scale. Okay, great, what’s the next step?

So now, what I’ve done is I’ve drawn our first bar. And this bar is the bar that represents carrot cake and I’ve labelled it clearly. And we can see that it goes across two on our 𝑦-axis. And that’s because we’ve got two carrot cakes. And like I said, it’s important because a bar graph or a bar chart represents the frequencies of this case, the number of cakes sold. Okay, so now, we can draw the bar that represents Victoria sponge.

So now, what I’ve done is drawing our second bar. And this is a bar that goes up to six because that’s the number of Victoria sponges sold. And we can also see that we’ve got a gap between our two bars. And this is because it is standard practice to leave a gap between the two bars when we’re drawing a bar chart or bar graph. However, if we drew a histogram, they would be tight together. Okay, so now let’s move on to Battenberg cake.

So we’ve now drawn the third column or third bar and this bar is Battenberg cake. And we can see that this represents this because it goes to three on our 𝑦-axis. And then, finally, we have our last bar and this is the bar that represents cupcakes. And because we’ve got 20 cupcakes, the bar goes up to 20 on the 𝑦-axis, which I’ve shown here.

So now, I’ve solved the problem because I’ve drawn a bar graph to show the information. And the key thing that I’ve remembered is to have even spacing when I’m dealing with the axes and the scale. Also, label the bars. So, we’ve got carrot cake, Victoria sponge, Battenberg cake, and cupcake. And also, leave a gap between your bars when you’re drawing a bar graph or bar chart. However, if this was a histogram, these would be joined together.

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