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
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
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
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.