Chapter 4 Presentation of Data Solutions
Question - 1 : - Bar diagram is a
(i) one-dimensional diagram
(ii) two-dimensional diagram
(iii) diagram with no dimension
(iv) none of the above
Answer - 1 : -
Bar diagrams are One-dimensional diagrams. These are represented on a plane of two axis and depicts the relationship between the two variables (plotted on the either axis) in form of rectangular bars.
Question - 2 : - Data represented through a histogram can help in finding graphically the
(i) mean
(ii) mode
(iii) median
(iv) all the above
Answer - 2 : -
Graphically mode can be determined by presenting the data in the form of Histogram. The highest Histogram indicates the modal class. The intersection point of the lines diagonally joining the two top corners of the modal rectangles to the corners of the adjacent Histograms indicates the Modal Value.
Question - 3 : - Ogives can be helpful in locating graphically the
(i) mode
(ii) mean
(iii) median
(iv) none of the above
Answer - 3 : -
Graphically, Median can be determined by the intersection point of Less than Ogive and More than Ogive. The value of x-axis corresponding to the intersection point indicates the median.
Question - 4 : - Data represented through arithmetic line graph help in understanding
(i) long-term trend
(ii) cyclicity in data
(iii) seasonality in data
(iv) all the above
Answer - 4 : -
Data represented through arithmetic line graph (or time series graph) helps in understanding the long-term trend and periodicity.
Question - 5 : - Width of bars in a bar diagram need not be equal (True/False).
Answer - 5 : -
The above statement is false as all bars in a bar diagram need to be of equal width. Moreover, all bars are at equal distance from each other.
Question - 6 : - Width of rectangles in a histogram should essentially be equal (True/False).
Answer - 6 : -
The above statement is false, as the width of all rectangles in a histogram may or may not be equal. The width of a rectangle depends on the width of its corresponding class interval.
Question - 7 : - Histogram can only be formed with continuous classification of data (True/False).
Answer - 7 : -
Yes, a Histogram can only be formed with the continuous classification of data. The frequency distribution of a continuous series is graphically presented in form of a Histogram. If the given data is not continuous, then it is to be converted into exclusive series before presenting the data in the form of Histogram. Histograms can never be prepared for discrete series.
Question - 8 : - Histogram and column diagram are the same method of presentation of data (True/False).
Answer - 8 : -
The above statement is false. This is because Histogram and column diagram are different method of presentation. While the Histogram is a Two-dimensional diagram, the bar diagram is a One-dimensional diagram. Histograms are prepared for the continuous series, whereas the bar diagrams are prepared for the discrete series. Further, Histograms are drawn continuously without any space between two consecutive Histograms, whereas the space is must between two bars in a bar diagram.
Question - 9 : - Mode of a frequency distribution can be known graphically with the help of histogram (True/False).
Answer - 9 : -
The above statement is true. Graphically, mode can be determined by presenting the data in the form of Histogram. The highest Histogram indicates the modal class. The intersection point of the lines diagonally joining the two top corners of the modal rectangles to the corners of the adjacent Histograms indicates the Modal Value.
Question - 10 : - Median of a frequency distribution cannot be known from the ogives (True/False).
Answer - 10 : -
The statement is false. Graphically Ogives can be determined by the intersection point of the less than Ogive and more than Ogive. The value of x-axis corresponding to the intersection point indicates the median.