Video: GCSE Mathematics Foundation Tier Pack 2 • Paper 2 • Question 10

GCSE Mathematics Foundation Tier Pack 2 • Paper 2 • Question 10

02:47

Video Transcript

Supermarket A gives away some chocolate samples to 25 customers. The table below gives information about how many customers chose each type of sample. Part a) Which type of chocolate is the mode? Of the samples given out, 10 out of 25 people chose orange chocolate. Part b) Write 10 out of 25 as a percentage.

So in order to solve part a, we have to look at this word here — the mode — cause we’re trying to find which type of chocolate is the mode. So what does mode actually mean? So what the mode means is actually the most common. So in this case, what is the most common type of chocolate? So we can also say it’s the one with the highest frequency.

Well, if we take a look at the table, we can see that it’s orange at 10. And that’s because seven people chose plain, 10 people chose orange, which is more than seven, six people chose mint; but it’s still less than 10, and two people chose fruits and nut, again still less than 10. So orange is actually the mode.

So therefore, we’ve actually solved part a because actually we’re seeing that orange was the mode because it was chosen the most and had the highest frequency. Okay, so now, let’s move on to part b.

So part b says that actually 10 out of the 25 people chose orange, which we already established. What we need to do is write 10 out of 25 as a percentage. Well, first of all, what we need to do is write 10 out 25 as a fraction. So it means 10 out of 25 or 10 over 25.

Well, what we need to do now is actually think about the word percentage cause what we need to do is actually write this as a percentage. Well, percent means out of 100. So therefore, what we want to do is actually make our fraction out of 100. So therefore, what we’re gonna do is have a fraction with 100 as the denominator.

So we see what we have to do to get from 25 to 100. So what would we have to multiply it by? Well, if you want to multiply 25 by a number to get to 100 is gonna be four cause 25 multiplied by four is 100. And that’s because if you double 25, you get 50 and double it again gets you 100. So that’s great.

Well, whatever we do to the denominator, we’ve also got to do to the numerator or the top of our fractions. So therefore, what we’re gonna do is multiply 10 by four. Well, that’s gives us 40 over 100 of 40 out of 100. So therefore, as we said that percent means out of 100. Then, 40 out of 100 is gonna be 40 percent. So we can say that 10 out of 25 is gonna be equal to 40 percent.

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