Question

construct a frequency polygon for the following data marks 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 and number of students 510 467 322 ​

Answer 1

Answer:

Mark the class intervals along the X-axis and the number of students along the Y-axis. Draw a histogram for the given data. Now mark the mid points of the upper sides of the consecutive rectangles. The mid points are joined with the help of a ruler. Note that, the first and last edges of the frequency polygon meet at the mid point of the vertical edges of the first and last rectangles.

Answer 2

Two methods to construct a frequency polygon.

1. Joining the mid points of each interval in a histogram.

2. Plotting the class mark of each class interval.

Explanation:

The class mark of any class interval is calculated using the formula given below.

$\text{Class Mark} = \frac{\text{Class Limit} + \text{Lower Limit}}{2}$

• In the given question, class mark for each class interval is calculated as:

                             $\text{CM} = \frac{10 + 0}{2} = 5\\ \text{CM} = \frac{20 + 10}{2} = 15\\ \text{CM} = \frac{30 + 20}{2} = 25\\ \text{CM} = \frac{40 + 30}{2} = 35\\ \text{CM} = \frac{50 + 40}{2} = 45$

• After calculating the class mark, plot the values on the graph.

• Plot Class marks on X axis and the corresponding frequency i.e. number of students on Y axis.

• Refer the image for an example problem to construct the frequency polygon.

For more details refer

1. Construct a frequency polygon for the following frequency distribution, using a graph sheet.

https://brainly.in/question/14698608

2. Prepare(1) a histogram and (2) frequency polygon based on the distribution of weight of seeds as fer the following data on computer

https://brainly.in/question/8092254