[Exercise- Page 263]
E.13.1. Collect 10 pieces of information from your daily life. Classify the information through a tree.
Solution:
E.13.2. Look around your home or residence; there are different types of trees. Do you know the names of all the trees? If necessary, take help from your guardians. Now check, how many trees are there of each type. If you want, you can draw the pictures of the trees too. You can even write down the approximate heights of the trees in units of your choice. Use tally marks to fill up the following table with the number of different types of trees and the total number of trees.
Answer the following questions:
a) Which trees have you seen the most?
b) Which trees have you seen the least?
c) How many trees are there in total?
d) According to your observation, which tree has the maximum height and what is it?
e) According to your observation, which tree has the minimum height and what is it?
f) Using the names of trees and the number of trees obtained from the table, draw a bar graph.
g) Determine the range of the heights of the trees.
h) Taking appropriate class interval, determine the class number of the heights.
i) Prepare and fill up a table like the sample table in your exercise book and draw a histogram according to the table.
Solution:
E.13.3. Prepare a list of how the classmates of Mina help their parents most, doing what sort of work in their spare time, as follows:
a) Draw a pie chart using the table above
b) Like Mina's class, prepare a list of how the friends of your class help their parents most, doing what sort of work in their spare time and show them in a Pie Chart.
Solution:
E.13.4. The daily wages (in Taka) of 30 labourers in a factory are given:
20, 550, 630, 700, 650, 500, 850, 650, 750, 575, 680, 920, 650, 820, 930, 990, 760, 840, 650, 580, 900, 840, 760, 850, 950, 550, 990, 760, 820, 890, 975, 675, 690, 750, 940, 650, 740, 860, 875, 980
a) Determine the range of the data.
b) What are the class intervals of the classes 550 - 599, 600 - 649, 650 - 699?
c) Determine the class number of the data according to the class intervals obtained in 'b'
d) Prepare a frequency table using the tally marks and draw a histogram.
e) Determine from the histogram. how many labourers' wages arc above Tk 800.
Solution:
E.13.5. A diagram of the daily study time (in hour) of 80 students is given below. Observethe diagram carefully and answer the following questions:
a) What is the name of the diagram? Write down its characteristics.
b) What is highest time the students spend on study?
c) How many students study less than 4 hours?
d) How many students study more than 5 hours?
a) Fill up the Table of the birth months of all the students in your Class and draw a diagram.
b) The weights (in kg) of the filmily members of Angel, Nipa and Minoti cost are as follows:
30.2, 8.5, 11.6, 4S, 32.8, 65.3, 38.4, 48.6, 55.5, 26.9, 40.8, 17.6, 22.3, 68.2, 48.5, 56, 62, 36.4, 67.3, 52.8
c) In various sectors of the development planning in one of the district, the percentage of the allocated money is as follows:
Solution:
E.13.6. Matin found out by asking 720 students, how they travel to school. The following Pie Chart is drawn of the information Matin obtained. Observe the diagram and answer the following questions.
a) How many students walk to school?
b) how many students go to school riding bicycle?
c) Determine the number of students who come by rickshaw.
Solution:
E.13.7. Draw a Histogram with the Data in the following Table.
Solution:
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