Draw a histogram and frequency polygon to represent the runs scored by...
**Histogram and Frequency Polygon Representing Runs Scored by the Winning Team in the Final Match in Different Overs in IPL 2018**
To represent the runs scored by the winning team in the final match in different overs in IPL 2018, we can use a histogram and frequency polygon. These graphical tools help visualize the distribution and frequency of runs scored in each over of the match.
**Histogram:**
A histogram is a graphical representation that uses bars to display the distribution of a dataset. In this case, we will use a histogram to show the frequency of runs scored by the winning team in different overs.
**Frequency Polygon:**
A frequency polygon is a line graph that connects the midpoints of each interval in a histogram. It helps to show the shape and trend of the data.
Now, let's create a histogram and frequency polygon to represent the runs scored by the winning team in the final match in different overs.
**Step 1: Collect Data**
First, we need to collect the data on the runs scored by the winning team in the final match in IPL 2018. Let's assume we have the following data:
Overs: 0-2, 2-4, 4-6, 6-8, 8-10, 10-12, 12-14, 14-16, 16-18, 18-20
Runs Scored: 12, 20, 16, 18, 22, 15, 14, 17, 16, 20
**Step 2: Create Class Intervals**
Next, we need to create class intervals for the histogram. In this case, we can use intervals of 2 overs each, starting from 0 and ending at 20. The class intervals will be:
0-2, 2-4, 4-6, 6-8, 8-10, 10-12, 12-14, 14-16, 16-18, 18-20
**Step 3: Count Frequencies**
Now, we count the frequencies of runs scored in each interval. For example, in the interval 0-2, the frequency is 1 (as there is one score of 12). Similarly, we count the frequencies for all the other intervals.
0-2: 1
2-4: 1
4-6: 1
6-8: 1
8-10: 1
10-12: 1
12-14: 1
14-16: 2
16-18: 1
18-20: 1
**Step 4: Draw the Histogram**
Now, we can draw the histogram using the class intervals and frequencies. The X-axis represents the class intervals (overs), and the Y-axis represents the frequency of runs scored.
The histogram will have bars for each class interval, with the height of each bar representing the frequency. We can use equal-width bars for each interval. For example, for the interval 0-2, we draw a bar of height 1. Similarly, we draw bars for all other intervals.
**Step 5: Draw the Frequency Polygon**
To draw the frequency polygon, we connect the midpoints of each interval in the histogram with a line. The midpoints are calculated by averaging the lower and upper limits of each interval. For example,