Histogram for Classes with Different Sizes

Q. In a histogram, the area of each rectangle is proportional to

1. The class mark of the corresponding class interval
2. The class size of the corresponding class interval
3. Frequency of the corresponding class interval
4. Cumulative frequency of the corresponding class interval

Q. In a histogram, each class rectangle is constructed with base as

(a) frequency

(b) class-intervals

(c) range

(d) size of the class

Q.

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

1. The one with higher class width

2. The one with lower class width

3. can't say

4. Both have same number of observations

Q.

The following histogram represents the age group of doctors enrolled in a certain program.

Find the number of doctors:
(i) who are in the age group between 25-35.

(ii) how many doctors belong to the age group between 45 - 50?

(iii) number of doctors below the age group of 25.

Q.

The histogram below represents the Mathematics marks of the students.

Find the total number of students with total marks more than or equal to 40 and less than 70.

1. 40

2. 18

3. 27

4. 24

Q. The following table gives the lifetimes of 400 neon lamps:

$\begin{array}{cccccccc}\text{Lifetime}& 300-400& 400-500& 500-600& 600-700& 700-800& 800-900& 900-1000\\ \text{(in hr)}& & & & & & & \\ \text{Number}& 14& 56& 60& 86& 74& 62& 48\\ \text{of lamps}& & & & & & & \end{array}$
(i) Represent the given information with the help of a histogram.
(ii) How many lamps have a lifetime of more than 700 hours?

Q.

The following histogram represents the age group of doctors enrolled in a certain program. Find the number of doctors

(i) who are in the age group between 25-35

(ii) how many doctors belong to the age group between 45 - 50

(iii) Number of doctors below the age group of 25

1. (i) 90 (ii) 15 (iii) 0

2. (i) 100 (ii) 20 (iii) 0

3. (i) 50 (ii) 10 (iii) 5

4. (i) 105 (ii) 25 (iii)15

Q.

The histogram below represents marks of students in a Mathematics exam with passing marks as 30. How many students failed in the exam?

1. 8

2. 14

3. 15

4. 16

Q.

The histogram below represents the Mathematics marks of the students.

Find the total number of students with total marks more than or equal to 40 and less than 70.

1. 40

2. 18

3. 27

4. 24

Q.

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

1. can't say

2. The one with lower class width

3. The one with higher class width

4. Both have same number of observations

Q.

The histogram below represents marks of students in a Mathematics exam with passing marks as 30. How many students failed in the exam?

1. 16

2. 8

3. 14

4. 15

Q.

The classes in a histogram need not be of the same width.

1. True

2. False

Q.

If two classes of different widths have the same number of observations, then the bigger class will have a bar with a smaller height in a histogram.

1. True

2. False

Q. calculate the arithmetic mean by step deviation method from the following data.
X : 10, 20, 30, 40, 50, 60, 70, 80
f:4, 10, 18, 20, 24, 14, 6, 4

Q.

If two classes of different widths have the same number of observations, then the bigger class will have a bar with a smaller height in a histogram.

1. True

2. False

Q.

The classes in a histogram need not be of the same width.

1. True

2. False

Q.

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

1. The one with higher class width

2. The one with lower class width

3. can't say

4. Both have same number of observations

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?

1. The one with higher class width

2. The one with lower class width

3. Both have same density

4. Can't say

Q. Question 5
Is it correct to say that in a histogram, the area of each rectangle is proportional to the class size of the corresponding class interval? If not, correct the statement.