Question

What is mean, median and quartile?

Answer 1

For solving this question you should know about mean, median and quartile which are the most common averages in statistics. In the statistics we can say that the mean or median is a centre of the given data sets. And we calculate the mean for any data set by adding all the data and dividing the submission by the numbers of data.

Complete step-by-step solution:
According to the question we have to explain about mean, median and quartile. We will see each of them one by one.
Mean: Means of any data set or observation is equal to the sum of all the observations and divided by the number of observations. The mean has four different types, which are as given below:
(1) Arithmetic mean: It is the average of all observations and if we are not given the question about the type of mean, then generally we calculate tis mean.
(2) Weighted mean: It is also the same as the arithmetic mean, but only the difference in the weighted mean is that some values contribute to more than the others.
(3) Harmonic mean: It is calculated by dividing the total number of observations by the reciprocal of each reciprocal.
(4) Geometric mean: The geometric mean determines the central tendency using the product of observations (rather than their sum). And generally, it is used in the financial and social science field.
(5) Arithmetic-geometric mean: This mean is a mixture of arithmetic and geometric averages.
The formula of the mean is given as, $\dfrac{\text{sum of total observations}}{\text{total number of observations}}$.
Median: The median of a data is the middle data at 50% of the data. And it takes place at a point where the values of the data can fall or rise.
Quartile: (i) First/lower quartile: it takes place at 25% of the data or the middle between the lower half of the data or we can say that quartile takes place at ${{\dfrac{1}{4}}^{th}}$ value of the data set in the starting of the data. (ii) Upper/Third quartile: It takes place in a data set at 75% of the data or the middle between the upper half of the data.

Note: In any data set there is always the first quartile, the third quartile and the median. And we can calculate the mean for every type of data set. But it is mandatory to take all the data in the submission and number of data in the counting of that.