# Histograms

## Trending Questions

**Q.**

A Histogram is a bar graph that shows data in intervals.

True

False

**Q.**A group of 20 students recorded their heights (in cm). The data received were as given below. What is the range?

150, 120, 112, 160, 155, 151, 158, 142, 148, 149, 161, 165, 140, 157, 156, 146, 148, 153, 138, 135

- 27 cm
- 37 cm
- 17 cm
- 53 cm

**Q.**

To draw a histogram, the exclusive class has to be converted into inclusive class.

True

False

**Q.**

**Question 26**

Size of the class 150 - 175 is:

(a) 150

(b) 175

(c) 25

(d) –25

**Q.**

i) Percentage of people in the height range 149.5 -159.5cm is equal to ______.

ii) Percentage difference between the number of people in the height range 159.5 - 169.5cm and 169.5 - 179.5cm is____.

30%, 16.66 %

20%, 6.66%

20%, 16.66 %

30%, 6.67 %

**Q.**Heights of the 30 people in a village are represented in a histogram given below.

What is the sum of the number of people having height 149.5 and 169.5?

- 9
- 5
- 14
- Can't be determined

**Q.**What is the range of a data whose class size is 10 and the number of class intervals is 7?

- 70
- 80
- 60
- 100

**Q.**Marks secured by 60 students of a class in a test are given below. Draw histogram for the given data.

Marks | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 |

No. of Students | 7 | 10 | 14 | 20 | 6 | 3 |

**Q.**

Every histogram is a bar graph and vice-versa.

True

False

**Q.**______ are used for bar chart where the data represent continuous rather than discrete categories.

- pie
- bar
- line
- histograms

**Q.**

The tally chart shows the amount of rainfall in different cities. Jaipur has received __ rainfall.

12 cm

11 cm

10 cm

13 cm

**Q.**The happiness index of male in delhi is how much less when compared to that of Washington city?

- 40
- 60
- 80
- 50

**Q.**The graph below shows the relation between the number of apples brought in some particular time.

The change in y over x = 2 and x = 4 is given as y increases by m.

What is the value of m?

- 2

**Q.**

The following table has been given with the relevant class mark and frequency.

Class markFrequency581510252354457553

Which of the following Histogram is correct for the given distribution

**Q.**To draw a histogram to represent the foll wing frequency distribution:

Class interval | 5-10 | 10-15 | 15-25 | 25-45 | 45-75 |

Frequency | 6 | 12 | 10 | 8 | 15 |

**Q.**

i) Percentage of people in the height range 149.5 -159.5cm is equal to ______.

ii) Percentage difference between the number of people in the height range 159.5 - 169.5cm and 169.5 - 179.5cm is____.

20 , 6.66%

30 , 16.66 %

20 , 16.66 %

30 , 6.66 %

**Q.**The graph below shows the relation between the number of apples brought in some particular time.

The change in y over x = 2 and x = 4 is given as y increases by m.

What is the value of m?

- 2

**Q.**Now, we construct rectangles with class-limits as bases and respective adjusted frequencies as heights. Draw a histogram for the marks of students given below:

**Q.**A histogram can never have gaps between two bars.

- True
- False

**Q.**

Bar graphs are usually used to represent 'categorical data' while histogram are usually used for 'continuous data' .

True

False

**Q.**State whether True or False. Give Reasons.

Histogram is a type of diagram.

**Q.**The figure below shows a histogram of heights of cherry trees. Find the correct statement(s) among the options.

- Total number of trees is 31
- The most common range of height of trees is 70-75 feet
- Least common range of height is 85-90 feet
- Total number of trees is 32

**Q.**Histogram and bar graph are two names of the same type of graph.

- False
- True

**Q.**

The height of the rectangle in a histogram is proportional to __________.

z-axis

x-axis

class interval

frequency of the class interval

**Q.**The graph below shows the number of people of different age groups staying in a hotel. Find the correct statement(s) among the options.

- Total number of people in 0-20 age group is 10
- Total number of people in 0-20 age group is 5
- Maximum number of people are from age group of 21-30 years
- Total number of people staying in the hotel is 35

**Q.**

If two bars in a histogram have unequal widths but the same height, then which class interval will have a higher density of observations?

The one with higher class width

The one with lower class width

Can't say

Both have same density

**Q.**

Which of the following is correct histogram for the given data?

None of these

**Q.**The given histogram shows a frequency distribution of marks obtained by 56 students in a subject.

Number of students securing marks between 70 and 100 is

- 4
- 2
- 6
- 8

**Q.**When constructing a histogram with non-uniform (unequal) class widths, we must ensure that the areas of the rectangles are proportional to the ___________.

- Class width
- Class sizes
- Class frequencies
- Range

**Q.**Consider the following statements:

1. The mean and median are equal in symmetric distribution.

2. The range is the difference between the maximum value and the minimum value in the data.

3. The sum of the areas of the rectangle in the histogram is equal to the total area bounded by the frequency polygon and the horizontal axis.

Which of the above statements are correct?

- 1 and 2 only
- 2 and 3 only
- 1 and 3 only
- 1, 2 and 3