Equality of Area

Q. Which of the following must be true so that area of histogram and frequency polygon are equal?

1. They have to be drawn for the same data.
2. Lower limit of the last class must be twice the upper limit of that class.
3. Class length must be multiple of 5.
4. Lower limit of first class must be 0.

Q.

State true or false.
To complete the frequency polygon plot, we assume a class interval with frequency zero and add one before and one after the given class intervals.

1. True

2. False

Q. Which of the following statement(s) is/are true?

1. Frequency polygon is a graphical representation of both discrete and continuous frequency distribution.
2. Area of histogram and polygon frequency drawn for the same data are equal.
3. Area of histogram is 2 times the area polygon frequency.
4. Frequency polygon is a graphical representation of continuous frequency distribution only.

Q. Using histogram, a frequency polygon is plotted as shown below.
If the area of frequency polygon is 100 $uni{t}^2$ and class length are same for all the classes, what is the length of a class interval?

1. 15 unit
2. 10 unit
3. 0.5 unit
4. 5 unit

Q. Using histogram, a frequency polygon is plotted. Variables a, b , c , d , e , f , g and h represented the certain area in the plotted graph. Which of the following options is/are true?

1. a = b and b = g
2. g = h and d = e
3. e = f and g = h
4. a = b and c = d

Q. Difference between frequency polygon and frequency curve

Q. Draw histogram, frequency curve and frequency polygon for the data given below

Class intervals	$5-10$	$10-15$	$15-20$	$20-25$	$25-30$
Frequency	$4$	$6$	$3$	$2$	$1$

Q. The following figure shows a histogram and corresponding frequency polygon. The data shows the number of victims suffering from a disease 'X' in various months of 2012.

Identify the correct statement(s) among the following.

1. The area under the frequency polygon is equal to the sum of areas of all bars of the histogram.
2. Least number of victims are seen in February.
3. June has the highest frequency of victims.
4. The frequency graph is incorrect.

Q.

State true or false.
To draw a frequency polygon, we have to first draw a histogram.

1. True

2. False

Q. Draw a frequency polygon of the following data using histogram.

Class interval	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$
Frequency	$5$	$10$	$25$	$16$	$12$	$8$

Q. For the same given data, area of the histogram is equal to the _________.

1. double of the area of frequency polygon
2. area of the bar of the bar graph
3. area of the ogive curve
4. area of the frequency polygon