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Grade 31 Statistics and Probability
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Organizing Data -Binomial Probabilities
Question: The velocity
(m/sec)
of water flow in a pipe of
25 m diameter
for consecutive days of a month are observed as:
1.5
1.5
1.6
1.4
1.5
1.4
1.6
1.4
1.5
1.3
1.4
1.3
1.4
1.5
1.7
1.6
1.5
1.5
1.5
1.4
1.3
1.5
1.5
1.6
1.7
1.5
1.4
1.4
1.4
1.5
Find the class boundaries for the last class by constructing an ungrouped frequency distribution.
A ) 1.7
B ) 1.65 - 1.75
C ) 1.6 - 1.7
D ) 1.55 - 1.75
Steps to derive
1
Range of the data =1.7 - 1.3 = 0.4
2
Since the range of the data set is small, use discrete data for the classes.
3
The classes are 1.3, 1.4, 1.5, 1.6 and 1.7.
4
The class boundaries, tally marks and the frequency for each class (number of tally marks) are shown in the table.
6
The class boundaries for the last class is 1.65 - 1.75.
Hence the right answer is Option B
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