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Types of Representation with Graphs

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Question 11

Question: The velocity of a car at various times (in hours) of the day are given below:

Draw a velocity time graph for the above data.

Answer: The graph is shown in figure.

Here (time, velocity) are plotted as points and then joined by straight coloured line segments.

Question 12

Question: The temperature-chart of a patient is given below in figure:

a) Find the temperature of the oatient at (i) 11: 00hours (ii) 15:00hours
b) At what time is the temperature (i) highest (ii) lowest ?

Answer:
a) Maximum rate of interest was in the year 1996 (12%).
b) Minimum rate of interest was in the years 1995, 1998 and 2000 (8%).
c) Difference is (12-8)% or 4%.
There can be many more situations where you use the skills of reading graphs and make use of that information.

Question 13

Question: Given below are the marks of 25 students in a test:
18, 5, 3,2,10,14,15,19,20,22,12,14,8,9,11,12,14,15,6,21,16,17,8,6.
i) Using the class interval 0 - 5, 5 - 10, etc, construct a frequency table.
ii) Find the class marks of each class.
iii) State the length of each class.

Answer: i)

ii)
Class mark

iii)
Length of class = Difference between upper limit and lower limit
Length of each class = 5

Question 14

Question: Convert the following distribution table to continuous distribution and prepare cumulative frequency.

Answer: To convert discrete classes to continuous classes,
the adjustment factor

= 0.5
Subtracting 0.5 from lower limits and adding 0.5 to all upper limits, we get continuous classes.

Question 15

Question: The following is the pocket money survey of 50 students in a school.
(Pocket money in rupees per month)

From a frequency table with grouping of 10-20, 20-30, 30-40 and so on.

Answer:

Question 16

Question: Using class intervals 0-4, 5-9, 10-14, ... construct the following distribution for the following data.
13, 6, 10, 5, 11, 14, 2, 8, 15, 16, 9, 13, 17, 11, 19, 5, 7, 12, 20, 21, 18, 1, 8, 12, 18

Answer:

Question 17

Question: The sales of a shopkeeper for eight days of july are given

Draw a graph depicting the above data.

Answer: The graph is shown in figure

We representing dates on x-axis and sales (in rupees) along y-axis. We plot the ordered pairs (7, 3306), (8, 3392), .....,(14, 3620) and join them by coloured line segments to get the above graph.