# Free Presentation of Data 03 Practice Test - 11th Grade - Commerce

### Question 1

For easy interpretation, a bar graph can be converted to a pie chart when:

#### SOLUTION

Solution :A

Although pie charts can be used for absolute values, inferences are easier when percentages are used.

### Question 2

A group of school kids were asked for their favorite colors: 10 picked pink, 5 picked red, 11 pinked blue, 1 said white, 13 said purple, and 5 said green. How would you represent this data?

#### SOLUTION

Solution :A

The given data is discrete as there is a clear separation between the colors. Hence, bar diagram can be used to represent this.

### Question 3

In a histogram, two class intervals were 20-30 and 30-40 with corresponding heights 10 and 20 units. The class intervals were combined to form a single class interval 20-40. What is the height corresponding to this new class interval?

#### SOLUTION

Solution :B

In a histogram, the area of

rectangles corresponds to

the frequency of the classes.

Before combining,

Frequency=10×10+10×20=300

The frequency after combining the classes

also will be the same. Suppose 'h' is the

height of the new class interval. Then,

Frequency=20×h=300⇒h=30020=15

### Question 4

Which of the following is(are) NOT true about tabular presentation?

#### SOLUTION

Solution :A and C

Options (a) and (c) are not true. Tabular presentations enable a quicker understanding of data when compared to textual but not diagrammatic. Also, for a huge amount of data it could be time-consuming and need not necessarily be the quickest way to present the data.

### Question 5

Sum of the areas of all the rectangles of a histogram represents:

#### SOLUTION

Solution :A

It represents the sum of frequencies of the given table.

### Question 6

Cumulative frequency curve is also known as a(an)

#### SOLUTION

Solution :Cumulative frequency curve is also known as an ogive.

### Question 7

An arithmetic line graph is also called as a

#### SOLUTION

Solution :An arithmetic line graph is called as a time-series graph as it is used to represent time-series data.

### Question 8

A

#### SOLUTION

Solution :Frequency curve is plotted by joining the midpoints of the top edges of a histogram by smooth wavy lines and curves.

### Question 9

Which of the following Frequency Distribution Graph(s) can be used to determine the value of Mode?

#### SOLUTION

Solution :A

In a histogram, the area of rectangles represent the class frequency. Hence, mode can be determined graphically through histograms.

### Question 10

Name the above shown curve.

#### SOLUTION

Solution :A

In 'more than' ogives, we start with the lower limits of the classes & go on subtracting frequencies of each class. Here, more than cumulative frequencies of number of women is plotted against the lower limit of average monthly income.