Q8 of 26 Page 245

Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows:

1 6 2 3 5 12 5 8 4 8


10 3 4 12 2 8 15 1 17 6


3 2 8 5 9 6 8 7 14 12


(i) Make a grouped frequency distribution table for this data, taking class width 5and one of the class intervals as 5 - 10.


(ii) How many children watched television for 15 or more hours a week?

The parts of the questions are solved below:

(i) The distribution table for the given data, taking class width 5 and one of the class intervals as 5-10 is as follows:




























NUMBER OF HOURS



FREQUENCY



0-5



10



5-10



13



10-15



5



15-20



2



Total



30



(ii) We conclude from the given table that two children watch television for 15 or more hours a week.


More from this chapter

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6

Three coins were tossed 30 times simultaneously. Each time the number of heads occurring was noted down as follows:

0 1 2 2 1 2 3 1 3 0


1 3 1 1 2 2 0 1 2 1


3 0 0 1 1 2 3 2 2 0


Prepare a frequency distribution table for the data given above.

7

The value of π up to 50 decimal places is given below:

3.14159265358979323846264338327950288419716939937510


(i) Make a frequency distribution of the digits from 0 to 9 after the decimal point.


(ii) What are the most and the least frequently occurring digits?

9

A company manufactures car batteries of a particular type. The lives (in years) of 40such batteries were recorded as follows:

2.6 3.0 3.7 3.2 2.2 4.1 3.5 4.5


3.5 2.3 3.2 3.4 3.8 3.2 4.6 3.7


2.5 4.4 3.4 3.3 2.9 3.0 4.3 2.8


3.5 3.2 3.9 3.2 3.2 3.1 3.7 3.4


4.6 3.8 3.2 2.6 3.5 4.2 2.9 3.6


Construct a grouped frequency distribution table for this data, using class intervals of size 0.5 starting from the interval 2 - 2.5

1

A survey conducted by an organisation for the cause of illness and death among the women between the ages 15 - 44 (in years) worldwide, found the following figures (in %):













S. No.



Causes



Female fatality rate (%)



1.


2.


3.


4.


5.


6.



Reproductive health conditions


Neuropsychiatric conditions


Injuries


Cardiovascular conditions


Respiratory conditions


Other causes



31.8


25.4


12.4


4.3


4.1


22.0



(i) Represent the information given above graphically.


(ii) Which condition is the major cause of women’s ill health and death worldwide?


(iii) Try to find out, with the help of your teacher, any two factors which play a major role in the cause in (ii) above being the major cause.