Statistics 1 (Range, Mean, Median and Mode in Single Data)

Statistics is a study to analyze quantitative data

Statistics is the way for you to analyze the data, it is very useful in processing data. In statistics there are single data and group data.

The example of single data:

I am a teacher, I have 11 students and these are my students' score in math exam 66, 67, 68, 65, 55, 66, 76, 69, 77, 87, 56. Now help me to calculate Range, Mean, Median and Mode!

Range

Range is the interval between the biggest data and the smallest data, you just have to do subtraction.

Based on the problem above; 66,67,68,65,55,66,76,69,77,87 the range is= 87-55= 32. Hence the range is 32.

Mean

Mean is same with Average, the way to find mean value is the sum of all data divided by total of data. For example, when you have 5 candies and your friend have 3 candies then you want to share it with same total to each. The first that you have to do is join all your candies with your friend's candies then divided by two because there is only you and your friend. The total candies that you get is the mean in statistics :)

Now, you try to solve the problem above;

Calculate the sum of data 66+67+68+65+55+66+76+69+77+ 87+56=751

Then we divided it by total data, there is 11 data. So 752/11= 68,36

Hence the mean of students' score in math exam is 68,36

Median

Median is the middle data, for example when you collect your math score data such as 88, 89, 75. First way that you have to do is order it by smallest to biggest 75, 88, 89 then see which one is in the middle. Yup, the median is 88

but what about even data? Let your data is 75, 87, 70, 88 as usual you have to order it 70,75,87,88 in the middle we have 2 data these are 75 and 87 so we sum it 75+87=162 then divided it by 2 because there is 2 data 162/2=81.

Hence the median is 81.

Now try to solve the problem above, first you have to order it like this one 55, 56,65,66,66,67,68,69,76,77,87 then find the data which is in the middle. The median is 67.

Mode

Mode is the most data, you just have to see which one always appear.

Based on the problem above, 55,56,65,66,66,67,68,69,76,77,87 we see that the data which has the most total data is 66, then the mode is 66.