Presentation Of Data(11th Grade > Statistics ) Questions and answers for exam Preparation

11th Grade > Statistics

PRESENTATION OF DATA MCQs

Total Questions : 30 | Page 1 of 3 pages

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

absolute values are converted to percentages
percentages are converted to absolute values
Either A or B
Neither A nor B

Discuss Question

Answer: Option A. -> absolute values are converted to percentages
:
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?

Bar Diagram
Histogram
Arithmetic line graph
Any of the above

Discuss Question

Answer: Option A. -> Bar Diagram
:
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.

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

Provides the quickest understanding of data when compared to textual/diagrammatic
A good table would have the essentials elements in it
The quickest way to present any type of data
More than one type of information relation to the problem can be exhibited easily

Discuss Question

Answer: Option A. -> Provides the quickest understanding of data when compared to textual/diagrammatic
:
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 4.

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?

10 units
15 units
20 units
30 units

Discuss Question

Answer: Option B. -> 15 units
:
B
In a histogram, the area of
rectangles corresponds to
the frequency of the classes.
Before combining,

F r e q u e n c y = 10 \times 10 + 10 \times 20 = 300

The frequency after combining the classes
also will be the same. Suppose 'h' is the
height of the new class interval. Then,

F r e q u e n c y = 20 \times h = 300 \Rightarrow h = \frac{300}{20} = 15

Question 5.

An arithmetic line graph is also called as a ___ graph.

Discuss Question

Answer: Option B. -> 15 units
:
An arithmetic line graph is called as a time-series graph as it is used to represent time-series data.

Question 6.

Cumulative frequency curve is also known as a(an) ___.

Discuss Question

Answer: Option B. -> 15 units
:

Cumulative frequency curve is also known as an ogive.

Question 7.

A ___ is a curve which is plotted by joining the mid-points of all top edges of a histogram by freehand smoothed curves and not by straight lines.

Discuss Question

Answer: Option B. -> 15 units
:
Frequency curve is plotted by joining the midpoints of the top edges of a histogram by smooth wavy lines and curves.

Question 8.

Name the above shown curve.

More than ogive
Less than ogive
Either A or B
Neither A nor B

Discuss Question

Answer: Option A. -> More than ogive
:
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.

Question 9.

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

Histogram
Ogive
Frequency Polygon
Frequency Curve

Discuss Question

Answer: Option A. -> Histogram
:
A
In a histogram, the area of rectangles represent the class frequency. Hence, mode can be determined graphically through histograms.

Question 10.

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