Some questions are asked by class 11 students related to Statistics for Economics

Question 1.
Bar diagram is a
(a) one-dimensional diagram
(b) two-dimensional diagram
(c) diagram with no dimension
(d) None of these
Answer:
(a) Bar diagrams are one-dimensional diagrams. Though these are represented on a plane of two axis in form of rectangular bars, the width is of no consequence and only the length depicts the frequency.

Question 2.
Data represented through a histogram can help in finding graphically the
(a) mean
(b) mode
(c) median
(d) All of these
Answer:
(b) Histogram gives value of mode of the frequency distribution graphically through the highest rectangle.

Question 3.
Ogives can be helpful in locating graphically the
(a) mode
(b) mean
(c) median
(d) None of these
Answer:
(c) Intersection point of the less than and more than ogives gives the median.

Question 4.
Data represented through arithmetic line graph help in understanding
(a) long term trend
(b) cyclicity in data
(c) seasonality in data
(d) All of the above
Answer:
(a) Arithmetic line graph helps in understanding the trend, periodicity, etc in a long term time series data.

Question 5.
Width of bars in a bar diagram need not be equal. (True/False)
Answer:
False
Bar diagram comprises a group of equispaced and equiwidth rectangular bars for each class or category of data.

Question 6.
Width of rectangles in a histogram should essentially be equal. (True/False)
Answer:
False
If the class intervals are of equal width, the area of the rectangles are proportional to their respective frequencies and width of rectangles will be equal. However, sometimes it is convenient or necessary to use varying width of class intervals and hence unequal width of rectangles.

Question 7.
Histogram can only be formed with continuous classification of data. (True/False)
Answer:
True
A histogram is never drawn for a discrete variable/data. If the classes are not continuous they are first converted into continuous classes.

Question 8.
Histogram and column diagram are the same method of presentation of data. (True/False)
Answer:
False
Histogram is a two dimensional diagram drawn for continuous data and the rectangles do not have spaces in between while column diagram is one dimensional with space in between every column (bar).

Question 9.
Mode of a frequency distribution can be known graphically with the help of histogram. (True/False)
Answer:
True
Histogram gives value of mode of the frequency distribution graphically through the highest rectangle.

Question 10.
Median of a frequency distribution cannot be known from the ogives. (True/False)
Answer:
False
Intersection-point of the less than and more than ogives gives the median.

Question 11.
What kind of diagrams are more effective in representing the following?
(a) Monthly rainfall in a year
(b) Composition of the population of Delhi by religion
(c) Components of cost in a factory
Answer:
(a) The monthly rainfall in a year can be best represented by a bar diagram as only one variable i.e., monthly rainfall is to be presented diagrammatically. The rainfall is plotted on Y-axis in the corresponding month that is plotted on the X-axis.
(b) Composition of the population of Delhi by religion can be represented by a component bar diagram. A component bar diagram shows the bar and its sub-divisions into two or more components. Thus, the total population can be sub divided in terms of religion and presented through a component bar diagram.
(c) Different components of cost in a factory can most effectively be depicted through a pie chart. The circle represents the total cost and various components of costs are shown by different portions of the circle drawn according to percentage of total cost each component covers.