Histogram Examples

Histogram Graph Examples

Histogram refers to the visual presentation used for summarizing the discrete or the continuous data and the example of which includes the visual presentation on the graph , the complaints of the customer made in the bank on the different parameters where the most reported reason of the complaint will have the highest height in the graph presented.

When bars of various height are used to display the data in graphical form is called the histogram graph. Every bar groups into ranges in a histogram. The bars that are taller in size shows that most of the data will fall in that taller range. A histogram depicts the spread and the shape of the continuous given data set or the given sample data. In this article, we are going to provide you top 4 examples of histogram graphs.

Histogram Examples

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Top 4 Examples of Histogram Graphs

Below are the top 4 examples of histogram graphs.

Histogram Example #1

SBI Manager Mr. Shaw is worried about the customer complaint regarding long queues in the branch. He wants to analyze first what is the frequency of a major customer’s waiting time. He has called out the cashier and asked him the details.

Below is the waiting time of the customer at the cash counter of the SBI bank branch during peak hours, which was observed by the cashier. You are required to create a histogram based on the below data.

Histogram Example 1

Solution:

We have created a histogram using five bins with 5 different frequencies, as seen in the chart below. On Y-axis, it’s the average number of customers falling in that particular category. In X-axis, we have a range of waiting times. For example, the 1st bin range is 2.30 mins to 2.86 mins. And we can note that the count is 3 for that category from the table and as seen in the below graph.

Graph 1.1

It is a random distribution, which is a type of distribution that has several peaks, and it lacks an apparent pattern.

There can be a scenario that various data properties that were combined. Hence, the data should be analyzed separately.

Histogram Example #2

Mr. Larry, a famous doctor, is researching the height of the students studying in the 8th standard. He has gathered a sample of 15 students but wants to know which the maximum category is where they belong.

Histogram Example 2

Solution:

 We have created a histogram using 6 bins with 6 different frequencies, as seen in the chart below. On Y-axis, it’s the average number of students falling in that particular category. In X-axis, we have a range of height. For example, the 1st bin range is 138 cms to 140 cms. And we can note that the count is 1 for that category from the table and as seen in the below graph.

Graph 2.1

Here we can see the heights of the students on an average is in the range of 142 cm to 146 cm for 8th standard. And also, one can note that one side of the average also falls on the other side of the average, which is the sign of normal distributionNormal DistributionNormal Distribution is a bell-shaped frequency distribution curve which helps describe all the possible values a random variable can take within a given range with most of the distribution area is in the middle and few are in the tails, at the extremes. This distribution has two key parameters: the mean (µ) and the standard deviation (σ) which plays a key role in assets return calculation and in risk management strategy.read more.

Histogram Example #3

Mr. A wants to make an investment in the stock market. He has shortlisted below stocks and wants to know the frequency of the prices.

Histogram Example 3

Use the histogram and state what kind of distribution this is?

Solution:

We have created a histogram using 5 bins with 5 different frequencies, as seen in the chart below. In Y-axis, it’s the number of stocks falling in that particular category. In X-axis, we have a range of stock prices. For example, the 1st bin range is 100 to 300. And we can note that the count is 7 for that category from the table and as seen in the below graph.

Graph 3.1

Here we can note that the graph is biased towards the left side, and hence this is a sign of distribution, which is right-skewed distribution. A large number of data values occur on the left side and fewer data on the right side.

Histogram Example #4

Shastri, the coach of an Indian cricket team, is conducting analysis on batsmen’s average score and wants to finalize the chosen batsmen for the upcoming world cup. However, he is first interested in creating a benchmark to shortlist the batsmen. He has received a list of below batsmen in their last 15 innings; however, he wants to know the odd one out from this list. Use the histogram and find them out one out and comment upon the distribution.

Histogram Example 4

Solution:

We have created a histogram using 6 bins with 6 different frequencies, as seen in the chart below. In Y-axis, it’s the number of batsmen falling in that particular category. In X-axis, we have a range of runs. For example, the 1st bin range is 90 to 190. And we can note that the count is 1 for that category from the table and as seen in the below graph.

Graph 4.1

We can see that the above table is showing a left-skewed distribution. Many data values occur on the right side and a smaller number of data on the left side.

90 runs in 15 innings appear to be the odd one out and appear to be of a bowler and hence need to be removed.

Conclusion

Creating a histogram will provide a representation that is visual in nature of the given data set or the data distribution. Histograms display the frequency of the data values and a large amount of data. The histogram helps in determining the median and the distribution of the given dataset. Also, this can display any gaps or any outliers in the given set of data.

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