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22 questions · timed · auto-graded

Question 11 Mark
Which measure of central tendency is given by the x-coordinate of the point of intersection of the 'more than' ogive and 'less than' ogive?
Answer
Median is given by the x-coordinate of the point of intersection of the 'more than' ogive and 'less than' ogive.
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Question 21 Mark
Which measure of central tendency can be determine graphically?
Answer
Median can be determined graphically.
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Question 31 Mark
Find the mode of the following data:
3, 3, 7, 4, 5, 3, 5, 6, 8, 9, 5, 3, 5, 3, 6, 9, 7, 4
Answer
x
Tally marks
(f)
3
4
5
6
7
8
9
IIII
II
IIII
II
II
I
II
5
2
4
2
2
1
2
we see that 3 occurs in maximum times i.e. 5
$\therefore$ Mode = 3
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Question 41 Mark
Write the modal class for the following frequency distribution:
Class
10-15
15-20
20-25
25-30
30-35
35-40
Frequency
30
35
75
40
30
15
Answer
The modal class is 20-25 as it has the maximum frequency of 75 in the given distribution.
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Question 51 Mark
What is the value of the median of the data using the graph in the following figure of less than ogive and more than ogive?
Answer
Median = 4, because the coordinates of the point of intersection of two ogives at x-axis is 4.
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Question 61 Mark
Write the empirical relation between mean, mode and median.
Answer
The empirical relation is Mode = 3
Mode = 3 Median - 2 mean
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Question 71 Mark
Define Mean.
Answer
The mean of a set of observations is equal to their sum divided by the total number of observations. Mean is also called an average.
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Question 81 Mark
What is the algebraic sum of deviations of a frequency distribution about its mean?
Answer
The algebraic sum of deviation of a frequency distribution about its mean is zero.
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Question 91 Mark
Find the mode of the following data:
15, 8, 26, 25, 24, 15, 18, 20, 24, 15, 19, 15
Answer
x
Tally mark
(f)
8
15
18
19
20
24
25
26
I
IIII
I
I
I
II
I
I
1
4
1
1
1
2
1
1
Here we see that 15 occurs in maximum times i.e. 54
$\therefore$ Mode = 15
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Question 101 Mark
Find the mode of the following data:
3, 5, 7, 4, 5, 3, 5, 6, 8, 9, 5, 3, 5, 3, 6, 9, 7, 4
Answer
x
Tally mark
(f)
3
4
5
6
7
8
9
III
II
IIII
II
II
I
II
4
2
5
2
2
1
2
We see that 5 occurs in maximum times which is 5
$\therefore$ Mode = 5
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Question 111 Mark
If mode of the following frequency distribution is 55, then find the value of x:
Class0-1515-3030-4545-6060-7575-90
Frequency87125312
Answer
5
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Question 121 Mark
Find the mode of the following frequency distribution:
Class0-2020-4040-6060-8080-100
Frequency871253
Answer
48.33
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Question 131 Mark
Write the median class of the following distribution:
Classes0-1010-2020-3030-4040-5050-6060-70
Frequency448101284
Answer
30 - 40
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Question 151 Mark
Which measure of central tendency is given by the x-coordinate of the point of intersection of the 'more than' ogive and 'less than' ogive?
Answer
Median
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Question 161 Mark
In the graphical representation of a frequency distribution, if the distance between mode and mean is k times the distance between median and mean, then write the value of k.
Answer
3
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Question 171 Mark
Write the median class for the following frequency distribution:
Class-interval0-1010-2020-3030-4040-5050-6060-7070-80
Frequency5871228201010
Answer
40 - 50
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Question 181 Mark
Write the modal class for the following frequency distribution:
Class-interval10-1515-2020-2525-3030-3535-40
Frequency303575403015
Answer
20 - 25
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1 Marks Question - MATHS STD 10 Questions - Vidyadip