Question: 1
The collection of information, collected for a purpose is called:
a) Mean
b) Median
c) Mode
d) Data
Answer: d
Question: 2
Which of the following is not a measure of central tendency?
a) Standard deviation
b) Mean
c) Median
d) Mode
Answer: a
Question: 3
Consider the runs scored by 11 players in a match which are given below. What is the range of the observations: 8, 22, 64,16, 32, 29, 16, 2, 7, 15, 1
a) 63Answer a
Question: 4
Find the range of the following data: 25, 18, 20, 22, 16, 6, 17, 15, 12, 30, 32, 10, 19, 8, 11, 20.
a) 10
b) 15
c) 18
d) 26
Answer: d
Explanation: Range = Maximum value – Minimum value
Range = 32 - 6 = 26.
Question: 5
What is the lower limit of class 65 - 70 ?
a) 25
b) 67.5
c) 70
d) 65
Answer d
Question: 6
What is the class mark of the class interval 90-120?
a) 90
b) 105
c) 115
d) 120
Answer: b
Explanation: Class mark = (upper limit + lower limit)/2
Class mark = (120+90)/2
Class mark = 105
Question: 7
In the class intervals 10-20, 20-30, 20 is included in which interval?
a) 10-20
b) 20-30
c) Both the intervals
d) None of the intervals
Answer: b
Explanation: In the class intervals 10-20, 20-30, 20 is included in the interval 20-30, because the number is always included in the lower limit of the class interval.
Question: 8
Find the class width for the grouped frequency distribution of the class intervals 1 - 20, 21 - 40, 41 - 60,
a) 10
b) 15
c) 17
d) 20
Answer: d
Explanation: Class width is the same as the class size. The class size of the given intervals 1 - 20, 21 - 40, 41 - 60,.. is 20.
Question: 9
The difference between the maximum and minimum values of the given observation is called
a) Class
b) Class interval
c) Class mark
d) Range
Answer: d
Explanation: The difference between the maximum and minimum values of the given observation is called range.
Question: 10
Find the maximum value if the range is 38 and the minimum value is 82.
a) 60
b) 76
c) 120
d) 82
Answer: c
Explanation: We know that Range = Maximum value – Minimum value.
Let the unknown value, (i.e.) Maximum value be x.
Now, substitute the values,
38 = x – 82
x = 38 + 82
x = 120.
Therefore, the maximum value is 120.
Question: 11
Study the graphs below and answer the following questions.
i) What is the name of graph “a”
ii) What is the name of graph “b”
iii) What is the name of graph “c”
iv) What is the name of graph “d”
Answers
Graph “a” is called Bar Graph.
Graph “b” is called Histogram.
Graph “c” is called Frequency Polygon.
Graph “d” is called Pie Chart.
MEAN
Question 12
The ratio of the sum of observations and the total number of observations is called:
a) Mean
b) Median
c) Mode
d) Central tendency
Answer: a
Question 13
The mean of the data 2, 3, 4, 5, 0, 1, 3, 3, 4, 3 is
a) 2
b) 2.2
c) 2.4
d) 2.8
Answer: d
Explanation: Mean = (2 + 3 + 4 + 5 + 0 + 1 + 3 + 3 + 4 + 3)/10 = 28/10 = 2.8
Question 14
The mean of x + 2, x + 3, x + 4 and x - 2 is:
a) (x + 7)/4
b) (2x + 7)/4
c) (3x + 7)/4
d) (4x + 7)/4
Answer: d
Explanation: Mean = (x + 2 + x + 3 + x + 4 + x - 2)/4 = (4x + 7)/4
Question 15
Height of 7 students (in cm) is given below. If the mean of height of 7 students is 165, what is the value of x?
168 170 x 160 162 164 162
a) 170
b) 165
c) 160
d) 169
Answer d
Question 16
The arithmetic mean of the first 5 natural numbers is
a) 3
b) 4
c) 5
d) 6
Answer: a
Explanation: Arithmetic mean = (1 + 2 + 3 + 4 + 5)/5
Arithmetic mean = 15/5 = 3
Question 17
Find the value of x, if the arithmetic mean of 4, 5, 6, 7, 8 and x is 7.
a) 4
b) 6
c) 8
d) 12
Answer: d
Explanation: (4 + 5 + 6 + 7 + 8 + x)/6 = 7
4 + 5 + 6 + 7 + 8 + x = 7(6)
4 + 5 + 6 + 7 + 8 + x = 42
30 + x = 42
x = 42 - 30 = 12
Question 18
If each data in the observation is increased by 5, then the mean
a) Remains the same
b) Increased by 5
c) Decreased by 5
d) None of the above
Answer: b
Explanation: If each data in the observation is increased by 5, then the mean is also increased by 5 because the mean is the average of the given values.
MEDIAN
Question 19
The median of the data: 4, 6, 8, 9, 11 is
a) 6
b) 8
c) 9
d) 11
Answer: b
Question 20
The median of the data: 155, 160, 145, 149, 150, 147, 152, 144, 148 is
a) 149
b) 150
c) 147
d) 144
Answer: a
Explanation: First arrange the data in ascending order.
144 145 147 148 149 150 152 155 160
Since, the number of observations here is odd, therefore,
Median = (n + 1)/2 th = (9 + 1)/2 = 10/2 = 5th number = 149
Question 21
The median of the data: 17, 2, 7, 27, 15, 5, 14, 8, 10, 24, 48, 10, 8, 7, 18, 28 is:
a) 10
b) 24
c) 12
d) 8
Answer: c
Explanation: Arrange the given data in ascending order:
2, 5, 7, 7, 8, 8, 10, 10, 14, 15, 17, 18, 24, 27, 28, 48
No of observations = 16
Since, the number of observations given here is even, hence,
Median will be average of two middle terms.
n/2th = 16/2 = 8th term
(n/2 + 1)th = (16/2 + 1)th = 9th term
Therefore,
Median = (10 + 14)/2 = 12
Question 22
From the following data, what is the value of the median?
20 21 25 26 23 29 32 39 33
a) 26
b) 23
c) 25.22
d) 29
Answer a
Question 23
Observe the following observations. They are runs scored by a batsman in six matches and arranged in ascending order. If the value of median is equal to 54, then what is the value of x?
25, 38, 50, x, 84, 106
a) 60
b) 58
c) 54
d) 59
Answer b
Question 24
The median of the data: 17, 2, 7, 27, 15, 5, 14, 8, 10, 24, 48, 10, 8, 7, 18, 28 is:
a) 10
b) 24
c) 12
d) 8
Answer c
MODE
Question 25
The mode of the given data: 4, 6, 5, 9, 3, 2, 7, 7, 6, 5, 4, 9, 10, 10, 3, 4, 7, 6, 9, 9 is;
a) 7
b) 9
c) 10
d) 6
Answer: b
Explanation: First arrange the data in order:
2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 9, 9, 9, 9, 10, 10
Hence, mode = 9
Question 26
The value which appears very frequently in a data is called:
a) Mean
b) Median
c) Mode
d) Central tendency
Answer: c
Question 27
Find the mode of the following data: 15, 14, 19, 20, 14, 15, 16, 14, 15, 18, 14, 19, 15, 17, 15.
a) 14
b) 15
c) 16
d) 17
Answer: b
Explanation: The mode of the data 15, 14, 19, 20, 14, 15, 16, 14, 15, 18, 14, 19, 15, 17, 15 is 15, because the number 15 is repeated 5 times.
Question 28
Below are the observations of the marks of a student. What is the value of mode?
84, 85, 89, 92, 93, 89, 87, 89, 92
a) 92
b) 9
c) 93
d) 89
Answer d
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