RD Sharma 2020 solution class 9 chapter 23 Graphical Representation of Statistical Data MCQS

MCQS

Page-23.43

Question 1:

Which one of the following is not the graphical representation of statistical data:

(a) Bar graph

(b) Histogram

(c) Frequency polygon

(d) Cumulative frequency distribution

Answer 1:

(d) Cumulative frequency distribution

We know that bar graph, histogram and frequency polygons are all graphical representation of statistical data.

Hence, the correct answer is option (d).

Question 2:

In a frequency distribution, ogives are graphical representation of

(a) Frequency

(b) Relative frequency

(c) Cumulative frequency

(d) Raw data

Answer 2:

(c) Cumulative frequency

In a frequency distribution, ogives are graphical representation of cumulative frequency.

Hence, the correct answer is option (c).

Question 3:

A frequency polygon is constructed by plotting frequency of the class interval and the

(a) upper limit of the class

(b) lower limit of the class

(c) mid value of the class

(d) any values of the class

Answer 3:

(c) mid value of the class

Frequency polygon is the plot of frequencies vs. the mid values of the classes.

Hence, the correct answer is option (c)

Question 4:

In a histogram the area of each rectangle is proportional to

(a)  the class mark of the corresponding class interval

(b) the class size of the corresponding class interval

(c) frequency of the corresponding class interval

(d) cumulative frequency of the corresponding class interval

Answer 4:

(c) frequency of the corresponding class interval

In a histogram the area of each rectangle is proportional to the frequency of the corresponding class interval.

Hence, the correct answer is option (c).

Question 5:

In the 'less than' type of ogive the cumulative frequency is plotted against

(a) the lower limit of the concerned class interval

(b) the upper limit of the concerned class interval

(c) the mid-value of the concerned class interval

(d) any value of the concerned class interval

Answer 5:

(b) the upper limit of the concerned class interval

In the less than type of ogive the cumulative frequency is plotted against the upper limit of the concerned class interval.

Hence, the correct answer is option (b).

Question 6:

In a histogram the class intervals or the group are taken along

(a) Y-axis

(b) X-axis

(c) both of X-axis and Y-axis

(d) in between X and Y axis

Answer 6:

(b) X-axis

In a histogram the class intervals or the groups are taken along the horizontal axis or X−axis.

Hence, the correct answer is option (b).

Question 7:

A histogram is a pictorial representation of the grouped data in which class intervals and frequency are respectively taken along

(a) vertical axis and horizontal axis

(b) vertical axis only

(c) horizontal axis only

(d) Horizontal axis and vertical axis

Answer 7:

(d) Horizontal axis and vertical axis

In a histogram the class intervals and frequencies are taken along horizontal and vertical axes respectively.

Hence, the correct option is (d).

Question 8:

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

(a) frequency

(b) class-intervals

(c) range

(d) size of the class

Answer 8:

(b) class-intervals

In a histogram, the class rectangles are constructed with base as the class−intervals.

Hence, the correct answer is option (b).

Question 9:

Consider the following frequency distribution:
 

Class interval :	5 – 10	10 – 15	15 – 25	25 – 45	45 – 75
Frequency :	6	12	10	8	15

To draw a histogram to represent the above frequency distribution the adjusted frequency for the class 25-45 is
(a) 6
(b) 5
(c) 3
(d) 2

Answer 9:

In the given frequency distribution,

Minimum class size = 5                 (10 − 5 = 5 or 15 − 10 = 5)

Class size of the class 25–45 = 45 − 25 = 20

Frequency of the class 25–45 = 8

We know

Adjusted frequency of a class = $\frac{\mathrm{Minimum} \mathrm{class} \mathrm{size}}{\mathrm{Class} \mathrm{size}}$ × Frequency of the class

∴ Adjusted frequency for the class 25–45 = $\frac{5}{20}\times 8$ = 2

Thus, in order to draw a histogram to represent the given frequency distribution the adjusted frequency for the class 25–45 is 2.

Hence, the correct answer is option (d).