Chapter 2 : Data Handling

1:The range of the data– 9, 8, 4, 3, 2, 1, 6, 4, 8, 10, 12, 15,4, 3 is
(a) 15         (b) 14            (c) 12             (d) 10
Ans:  (b)
2:The following data : 2, 5, 15, 25, 20, 12, 8, 7, 6, 16, 21,17, 30, 32, 23, 40, 51, 15, 2, 9, 57, 19, 25 is grouped in the classes 0 –5, 5 –10, 10 –15 etc. Find the frequency of the class 20 –25.
(a)5(b)4(c)3(d)2
Ans: (c).

3:The pie chart depicts the information of viewers watching different type of channels on TV. Which type of programmes are viewed the most?
(a)News     (b)Sports        (c)Entertainment  (d)Informative.

Ans :    Photo

 5: A dice is thrown two times and sum of the numbers appearing on the dice are noted. The number of possible outcomes is
(a) 6             (b) 11            (c) 18            (d)  36
Ans: (b).
[Possible sums are 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12].
6: The probability of getting a multiple of 2 when a dice is rolled is
(a)  16            (b) 13         (c) 12              (d)  23
Ans: (c).

7: The fourth class interval for a grouped data whose first and second class intervals are 10 –15 and 15 –20 respectively is __________.
Solution:25 – 30 .

1.The height of a rectangle in a histogram shows the
(a)Width of the class(b)Upper limit of the class
(c)Lower limit of the class(d)Frequency of the class
2.A geometric representation showing the relationship between a whole
and its parts is a
(a)Pie chart(b)Histogram(c)Bar graph(d)Pictograph
3.In a pie chart, the total angle at the centre of the circle is
(a)180°(b)360°(c)270°(d)90°
4.The range of the data 30, 61, 55, 56, 60, 20, 26, 46, 28, 56 is
(a)26(b)30(c)41(d)61
5.Which of the following is not a random experiment?
(a)Tossing a coin(b)Rolling a dice
(c)Choosing a card from a deck of 52 cards
(d)Thowing a stone from a roof of a building

6.What is the probability of choosing a vowel from the alphabets?
(a)2126(b)526(c)126(d)326
7.In a school only, 3 out of 5 students can participate in a competition.What is the probability of the students who do not make it to the competition?
(a)0.65(b)0.4(c)0.45(d)0.6
Students of a class voted for their favourite colour and a pie chart was prepared based on
the data collected. Observe the pie chart given below and answer questions 8 –10 based on it.

8.Which colour received 15 of the votes?
(a)Red(b)Blue(c)Green
(d)Yellow     Photo

9.If 400 students voted in all, then how many did vote ‘Others’ colour as their favourite?
(a)6(b)20(c)24(d)40
10.Which of the following is a reasonable conclusion for the given data?
(a)120th student voted for blue colour
(b)Green is the least popular colour
(c)The number of students who voted for red colour is two times the number of students who voted for yellow colour
(d)Number of students liking together yellow and green colour is approximately the same as those for red colour.
11.Listed below are the temperature in °C for 10 days.
–6, –8, 0, 3, 2, 0, 1, 5, 4, 4
What is the range of the data?
(a)8(b)13°C(c)10°C(d)12°C

12.Ram put some buttons on the table. There were 4 blue, 7 red, 3 black and 6 white buttons in all. All of a sudden, a cat jumped on the table and knocked out one button on the floor. What is the probability that the button on the floor is blue?
(a)720(b)35(c)15(d)14
13.Rahul, Varun and Yash are playing a game of spinning a coloured wheel. Rahul wins if spinner lands on red. Varun wins if spinner lands on blue and Yash wins if it lands on green. Which of the following spinner should be used to make the game fair?
RedGreen
RedBlue
RedGreen
GreenBlue
B
R
G
B
R
G
Green
Blue
Green
Blue
Red
Blue
(i)(ii)(iii)(iv)
(a) (i)(b) (ii)(c) (iii)(d) (iv)

14.In a frequency distribution with classes 0 –10, 10 –20 etc., the size of the class intervals is 10. The lower limit of fourth class is
(a)40(b)50(c)20(d)30
15.A coin is tossed 200 times and head appeared 120 times. The probability of getting a head in this experiment is
(a)25(b)35(c)15(d)45
16.Data collected in a survey shows that 40% of the buyers are interested in buying a particular brand of toothpaste. The central angle of the sector of the pie chart representing this information is
(a)120°(b)150°(c)144°(d)40°
17.Monthly salary of a person is Rs. 15000. The central angle of the  sector representing his expenses on food and house rent on a pie chart is 60°. The amount he spends on food and house rent is
(a)Rs. 5000(b)Rs. 2500(c)Rs. 6000(d)Rs. 9000

18.The following pie chart gives the distribution of constituents in the human body. The central angle of the sector showing the distribution of protein and other constituents is
(a)108°(b)54°(c)30°(d)216°            Photo

19.Rohan and Shalu are playing with 5 card as shown in the figure. What is the probability of Rohan picking a card without seeing, that has the number 2 on it?
(a)25(b)15(c)35(d) 45
20.The following pie chart represents the distribution of proteins in parts of a human body. What is the ratio of distribution of proteins in the muscles to that of proteins in the bones?
(a)3 : 1(b)1 : 2(c)1 : 3(d)2 : 1
21.What is the central angle of the sector (in the above pie chart) representing skin and bones together?
(a)36°(b)60°(c)90°(d)96°
22.What is the central angle of the sector (in the above pie chart)representing hormones enzymes and other proteins.
(a)120°(b)144°(c)156°(d)176°

23.A coin is tossed 12 times and the outcomes are observed as shown below: The chance of occurrence of Head is
(a)12(b)512(c)712(d)57
24.Total number of outcomes, when a ball is drawn from a bag which contains 3 red, 5 black and 4 blue balls is
(a)8(b)7(c)9(d)12
25.A graph showing two sets of data simultaneously is known as
(a)Pictograph(b)Histogram(c)Pie chart(d)Double bar graph

26.Size of the class 150 –175 is
(a)150(b)175(c)25(d)–25
27.In a throw of a dice, the probability of getting the number 7 is
(a)12(b)16(c)1(d)0
28.Data represented using circles is known as
(a)Bar graph(b)Histogram(c)Pictograph(d)Pie chart
29.Tally marks are used to find
(a)Class intervals(b)Range
(c)Frequency(d)Upper limit
30.Upper limit of class interval 75 –85 is
(a)10(b)–10(c)75(d)85

31.Numbers 1 to 5 are written on separate slips, i.e one number on one slip and put in a box. Wahida pick a slip from the box without looking at it. What is the probability that the slip bears an odd number?
(a)15(b)25(c)35(d)45
32.A glass jar contains 6 red, 5 green, 4 blue and 5 yellow marbles of same size. Hari takes out a marble from the jar at random. What is the probability that the chosen marble is of red colour?
(a)710(b)310(c)45(d) 25
33.A coin is tossed two times. The number of possible outcomes is
(a)1(b)2(c)3(d)4
34.A coin is tossed three times. The number of possible outcomes is
(a)3(b)4(c)6(d)8
35.A diece is tossed two times. The number of possible outcomes is
(a)12(b)24(c)36(d)30

Fill in the blanks

36.Data available in an unorganised form is called __________ data.
37.In the class interval 20 – 30, the lower class limit is __________.
38.In the class interval 26 – 33, 33 is known as __________.
39.The range of the data 6, 8, 16, 22, 8, 20, 7, 25 is __________.
40.A pie chart is used to compare __________ to a whole.
41.In the experiment of tossing a coin one time, the outcome is either
__________ or __________.
42.When a dice is rolled, the six possible outcomes are __________.
43.Each outcome or a collection of outcomes in an experiment makes an __________.
44.An experiment whose outcomes cannot be predicted exactly in advance is called a __________ experiment.
45.The difference between the upper and lower limit of a class interval is called the __________ of the class interval.

46.The sixth class interval for a grouped data whose first two class intervals are 10 – 15 and 15 – 20 is __________.
Histogram given on the right shows the number of people owning the different number of books.

 Answer 47 to 50 based on it.
47.The total number of people surveyed is __________.
48.The number of people owning books more than 60 is __________.
49.The number of people owning books less than 40 is __________.
50.The number of people having books more than 20 and less than 40 is __________.
51.The number of times a particular observation occurs in a given data is called its __________.

52.When the number of observations is large, the observations are usually organised in groups of equal width called __________.
53.The total number of outcomes when a coin is tossed is __________.
54.The class size of the interval 80 – 85 is __________.
55.In a histogram __________ are drawn with width equal to a class interval without leaving any gap in between.
56.When a dice is thrown, outcomes 1, 2, 3, 4, 5, 6 are equally __________.
57.In a histogram, class intervals and frequencies are taken along__________ axis and __________ axis.
58.In the class intervals 10 –20, 20 –30, etc., respectively, 20 lies in the class __________.