Olympiad Mathematics - Data Handling
Exam Duration: 45 Mins Total Questions : 30
The mean of five numbers is 27. If one of the numbers is excluded, the mean gets reduced by 2. What is the excluded number?
- (a)
35
- (b)
27
- (c)
25
- (d)
40
What is the median of the data 46, 64, 87, 41, 58, 77, 35, 90, 55, 33, 92?
- (a)
87
- (b)
77
- (c)
58
- (d)
60.2
The arithmetic mean of five given numbers is 85. What is their sum?
- (a)
425
- (b)
85
- (c)
A number between 85 and 425.
- (d)
A number greater than 500.
Which of the following is correct about mode?
- (a)
It is central.
- (b)
It occurs most frequently.
- (c)
It lies between the maximum and minimum observations.
- (d)
It isthe average ofthe two middle terms.
The heights of six mountains are 8200 m, 6000 m, 8600 m, 7500 m, 8800 m and 6500 m. Based on this information, answer the questions given. Find the median height of the mountains.
- (a)
7850 m
- (b)
7580 m
- (c)
8750 m
- (d)
5780 m
The heights of six mountains are 8200 m, 6000 m, 8600 m, 7500 m, 8800 m and 6500 m. Based on this information, answer the questions given. Which of the following statements is true?
- (a)
The mean height of the mountains is greater than their median height.
- (b)
The mean height of the mountains is less than their mode.
- (c)
The median height of the mountains is less than their mode.
- (d)
The median height of the mountains is greater than their mean height.
The heights of six mountains are 8200 m, 6000 m, 8600 m, 7500 m, 8800 m and 6500 m. Based on this information, answer the questions given. Rakesh and Sanjay planned to go trekking on any of these mountains. They wrote the heights on chits of paper, shuffled them and picked one. What is the probability that the height picked is the maximum?
- (a)
\(\frac { 1 }{ 3 } \)
- (b)
\(\frac { 2 }{ 3 } \)
- (c)
\(\frac { 1 }{ 6 } \)
- (d)
\(\frac { 1 }{ 4 } \)
The ages (in years) of some teachers of a school are given in the box.
26, 32, 38, 41, 26, 31, 35, 33, 26, 37
Based on this information, answer the following questions. What is the mode of the given data?
- (a)
32 years
- (b)
41 years
- (c)
26 years
- (d)
31 years
The heights of 10 students, measured in cm are as follows:
143,132,150,139,128,135,151,146, 141, 149
Based on this information, answer the following questions. What is the height of the shortest girl?
- (a)
128 cm
- (b)
141 cm
- (c)
151 cm
- (d)
150 cm
The heights of 10 students, measured in cm are as follows:
143,132,150,139,128,135,151,146, 141, 149
Based on this information, answer the following questions. The height of how many students is greater than the mean height?
- (a)
4
- (b)
3
- (c)
5
- (d)
2
In which of these situations is a double bar graph useful?
(i) Enrolment of students in class VII in 2009 and 2010.
(ii) Marks obtained in Term I and Term II examinations.
(iii) Marks obtained in all subjects of a term examination.
- (a)
(i) and (ii)
- (b)
(ii) and (iii)
- (c)
(iii) and (i)
- (d)
(i) only
Which of these can happen but not certainly?
- (a)
A tossed coin lands with heads up.
- (b)
The sun rises in the east.
- (c)
A die thrown lands with 8 on the top.
- (d)
The Earth revolves around the Sun.
Which of these is impossible?
- (a)
The next traffic light seen is red.
- (b)
A tossed die lands up with 8 on top.
- (c)
A flipped coin landsup with headon top.
- (d)
It rains tommorow.
Find the range of the data.
128, 139, 148, 132, 152,
154, 140, 143, 146, 149, 142
- (a)
9
- (b)
26
- (c)
5
- (d)
24
The bar graph shows the sales of fruits and vegetables in a store in 4 hours on a certain evening.
How many kilograms of fruits were sold during the four hours?
- (a)
120 kg
- (b)
124 kg
- (c)
126 kg
- (d)
144 kg
The number of chapatis needed for 30 students of a class are given in the box.
2, 1, 2, 3, 3, 2, 2, 2, 4, 4
3, 2, 3, 3, 2, 2, 2, 2, 3, 3
2, 3, 2, 2, 2, 3, 3, 3, 3, 4
Calculate the mode of the data.
- (a)
3
- (b)
2
- (c)
1
- (d)
4
What is the arithmetic mean of first five prime numbers?
- (a)
6.2
- (b)
5.2
- (c)
6.5
- (d)
5.6
The bargraph shows the marks obtained by four students in quarterly examination.
Whose performance was the worst?
- (a)
Sharanya
- (b)
Deepa
- (c)
Shravan
- (d)
Nandan
The pie-chart depicts the results of a survey conducted to identify the favourite juice of some students.
How many students like other juices if the total number of students is 360?
- (a)
70
- (b)
80
- (c)
65
- (d)
60
The pie-chart depicts the results of a survey conducted to identify the favourite juice of some students.
How many students like orange juice, if the strength of the school is 720 ?
- (a)
150
- (b)
360
- (c)
180
- (d)
240
Study the following table which shows the production of three different types of cars over the years.
Years | Production of car P | Production of Car Q | Production of Car R |
2001 | 76 | 59 | 28 |
2002 | 82 | 62 | 36 |
2003 | 65 | 47 | 42 |
2004 | 70 | 54 | 31 |
2005 | 85 | 57 | 49 |
2006 | 80 | 68 | 38 |
The average production of which of the following types of cars was maximum?
- (a)
Q
- (b)
P
- (c)
R
- (d)
All are equal
Study the following table which shows the production of three different types of cars over the years.
Years | Production of car P | Production of Car Q | Production of Car R |
2001 | 76 | 59 | 28 |
2002 | 82 | 62 | 36 |
2003 | 65 | 47 | 42 |
2004 | 70 | 54 | 31 |
2005 | 85 | 57 | 49 |
2006 | 80 | 68 | 38 |
The difference between the total production of three cars in the year 2004 and 2006 is_____________.
- (a)
11
- (b)
43
- (c)
31
- (d)
28
The heights of 10 students were measured in cm and the results are as follows :
147,139,135,136,149,166,152,163,155, 144.
(i) What is the range of the data?
(ii) What is the mean height of the students?
(iii) How many students are there whose height is more than the mean height?
- (a)
(i) (ii) (iii) 30 100.5 3 - (b)
(i) (ii) (iii) 31 148.6 5 - (c)
(i) (ii) (iii) 32 149 5 - (d)
(i) (ii) (iii) 28 148.6 4
The mode and median of the following data 21, 23, 25, 23, 21, 24, 22, 20, 23 respectively, are
- (a)
23, 23
- (b)
21, 23
- (c)
25, 21
- (d)
23, 21
If the mean of 6,8,5, x and 4 is 7, then the value of x is___________________
- (a)
11
- (b)
12
- (c)
13
- (d)
14
Soni has digit cards 1,4 and 7. She makes 2-digit number using each card only once.The probability that a 2-digit number chosen at random is divisible by 2 is:
- (a)
\(1\over3\)
- (b)
\(2\over3\)
- (c)
0
- (d)
\(1\over2\)
A bag contains red, white and blue pencils. The probability of selecting a red pencil is \(2\over13\) and that of selecting a blue pencil is\(4\over13\) . Find the probability of selecting a white pencil.
- (a)
\(6\over13\)
- (b)
\(7\over13\)
- (c)
\(3\over5\)
- (d)
\(2\over5\)
A fair dice has faces numbered 0, 1, 7, 3,5 and 9. If it is thrown, the probability of getting an odd number is
- (a)
1
- (b)
\(2\over3\)
- (c)
\(5\over6\)
- (d)
\(1\over6\)
The given line graph shows the number of toy bikes sold by Robin over 5 days
If the cost of 1 toy bike is Rs 33.60, then how much did he earn in 5 days?
- (a)
Rs 9408
- (b)
Rs 9240
- (c)
Rs 8400
- (d)
Rs 8408
The given bar graph shows the result of annual examination in a school from class V to class X.
In which standard is the result of the girls more than the average result of the boys from the school?
- (a)
IX
- (b)
VIII
- (c)
VI
- (d)
X