[Exercise- Page 238]
E.10.1. The height (in cm) of some students of Grade VIII are given in the box beside. Solve the following problem.
b) Arrange the data in descending order.
c) Find the average height of the student.
Solution:
E.10.2. Mr. Mizan is a mango seller. He has bought 50 boxes of mango. In every box the number of mangoes is not equal. But we need to know how many mangoes are there in each box. Find out how many mangoes are there in the 50 boxes from the given Table.
Solution:
E.10.3. Look at the graph
b) What kind of data are these?
c) What is its Median?
d) Make a table from the graph.
e) Find Mean Median and Mode from the table.
Solution:
E.10.4.
Solution:
E.10.5. In the Table below the wages (in taka) of the worker of a garment factory is given. If the mode is 525 determine the value of x and y. The total number of workers in the factory is 120.
Solution:
E.10.6. Find out the number of 100 patients of a health care center from the list of class interval and cumulative frequency of the Patients’ age.
Solution:
E.10.7. The table of daily Profit (in taka) of 100 shops at Nagri bazar
b) How many shops have earned profit less than tk. 500?
Solution:
E.10.8. The list is made after processing raw data of the age (in year) of all the family members of grade eight students.
b) Draw frequency polygon from the histogram.
c) Draw frequency polygon without histogram.
Solution:
E.10.9. Everyday Shajal goes to the nearest park with his grandfather for morning walk. He has planned to collect information according to their age.
The table of the collected data is:
b) Find mode of the data.
c) Draw histogram using the list of Shajal’s information.
d) Find mode.
e) Draw frequency Polygon of the data.
f) Draw cumulative frequency curve.
Solution:
E.10.10. Suppose sometime there is load shedding / power cut in your locality. Make a plan to solve the problem. You can do the following task according to the plan.
a) Collect the bills of electricity of neighbouring family.
b) To know how much electricity the family use, Table the data.
c) Present your opinion and proposal for duties as per the demand of electricity.
Solution:
E.10.11. i) Collect the information of the age (in year) of 25 members including family members and near relatives and record it. (take help from your guardian if needed)
ii) Graph of collected information of 30 members of your friend’s family including the near relatives.
Using the data of i)
a) Make a table of frequency.
b) Draw a histogram and find frequency of polygon and Mode.
c) Find arithmetic average.
d) Find median and mode.
e) Make a table using the figure of ii).
f) Write down the comparative difference between your family members and your friend’s family members. Explain whether the numbers of members age, and class interval influence the average.
g) Which is easier for presenting data? Graph or table? Give reasons for your answer.
Solution:
E.10.12. Arrange the task of your group from data collection to information analysis to decision making. In every step write a brief description of your task and present it. Here the tasks are in a random order.
Leave the step which you did not have to follow.
Organizing data ➡ collecting data ➡ classifying data ➡ verifying reliability of source ➡ determining scope ➡ selecting source ➡ finding class interval ➡ finding median and mode ➡ finding central tendency ➡ finding arithmetic mean ➡ taking decision about data from the value of central tendency ➡ finding cumulative frequency ➡ explaining the value of median and mode ➡ finding mode from histogram
Solution:
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