Question

How do you find the mean median and mode of a histogram?

Answer 1

Hint: Here we will use the concept of mean, median, and mode to answer the given question. A histogram is an area diagram that represents the numerical value of data. A histogram consists of rectangular bars such that the height of bars is equal to the corresponding frequency of a certain class.

Complete step-by-step answer:
We know that the mean is the average of a set of data.
So, to find the mean of a histogram we will add up all the values given and divide it by the number of values.
Next, we know median is the middle of a data-set.
So, to find the median we will check the size of the data.
The size of data is $$n$$.
If $$n$$ is odd the median of the data set is found out by the formula $${\displaystyle \frac{n+1}{2}}$$.
If $$n$$ is even the median of the data set is average of two terms i.e. $${\displaystyle \frac{n}{2}}$$ and $${\displaystyle \frac{n}{2}}+1$$.
Now, we know mode is the peak of the dataset.
So, the bar of the histogram which is the tallest is the mode of that data-set.

Note:
Statistics is a branch of mathematics that deals with the collection, organization, and analysis of data. Two statistical methods used in data analysis are descriptive and inferential statistics. Descriptive statistics are used to summarize the data from a sample given to us. A histogram is used for graphical representation of data using bars of different heights. It groups the number into ranges.