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COUNT ON ME SINGAPORE Sum of the things that make us Singaporean

HELLO, MORE DATA PLEASE

In the modern city-state that is Singapore, mobile data is a basic necessity that ranks almost higher than food and water in Maslow’s Hierarchy of Needs. But luckily, there are plenty of data plans to cater to both heavy and light users of mobile data.

A telco has 2 plans. Plan A offers a maximum of 2 GB per month and Plan B offers a maximum of 3 GB. If a businessman wants to find out which data plan to choose, how can he estimate the amount of data that he’ll need?

Solution

To find the amount of data that he’ll need, let’s study his past monthly data consumption.

There are 3 ways to find the average of a set of data – mean, median, and mode.

The mean can be found by adding up all the numbers in the set, then dividing the sum by the number of data in the set.

The median can be found by rearranging the figures in ascending or descending order, then choosing the middle value. If the total number of data is even, the median is the mean of the two middle values.

The mode is simply the number that occurs the most frequently in the set.

So which method should we use?

We should not use mode here because we are not trying to find the most popular value. It will not help us decide which plan he should sign up for. Instead, we can use both mean and median to help us derive the most accurate value.

meanmedianmode
Mean = (2.4 + 1.7 + 2.8 + 2.5 + 2.3 + 4.9
+ 1.9 + 2.1 + 5.5 + 2.9 + 2.2 + 2.0)
12
 ≈ 2.77

To find the median, we first rearrange the values in ascending/descending order.

That would give us

The middle values are 2.3 and 2.4.
Thus, the median of this set of values is
= 2.3 + 2.42
= 2.35

Looking at the mean and median values, which are both lower than 3 GB, the businessman should choose Plan B.

However, we may need to look at the entire distribution of the data values to decide more accurately which plan to choose. In this case, he should only go ahead with Plan B if the majority of the values are lower than 3 GB.

Besides mobile data, you can also use these methods to find out your monthly expenditure! Can you think of more uses for them?