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Q.
The heights of 50 students, measured to the nearest centimeters, have been found to
be as follows
161 150 154 165 168 161 154 162 150 151
162 164 171 165 158 154 156 172 160 170
153 159 161 170 162 165 166 168 165 164
154 152 153 156 158 162 160 161 173 166
161 159 162 167 168 159 158 153 154 159
Which of the following options is correct for the given data?
161 150 154 165 168 161 154 162 150 151
162 164 171 165 158 154 156 172 160 170
153 159 161 170 162 165 166 168 165 164
154 152 153 156 158 162 160 161 173 166
161 159 162 167 168 159 158 153 154 159
Which of the following options is correct for the given data?
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a
50% of the students are shorter than 165 cm.
b
50% of the students are higher than 165 cm.
c
50% of the students are shorter than 155 cm.
d
50% of the students are higher than 155 cm.
answer is A.
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Detailed Solution
Given data,
161 150 154 165 168 161 154 162 150 151
162 164 171 165 158 154 156 172 160 170
153 159 161 170 162 165 166 168 165 164
154 152 153 156 158 162 160 161 173 166
161 159 162 167 168 159 158 153 154 159
The maximum and minimum height ranges of the pupils are also included in this table, along with information on which range the majority of the students fall in.
50 students make up the class as a whole.
The height range for a student in the class is between 150 and 155.
The height of a pupil in the class may not exceed 170 to 175 inches.
To determine the range in which the majority of students fall:
Students that are under 165 cm,
12 + 9 + 14
35
Percentage,
%=70%
Therefore, it can be inferred from the following table that the minimum range of heights is 150–155 and the maximum range is 170–175 inches.
Additionally, it can be inferred from the data that more than 50% of the kids are under 165 cm in height.
Therefore the answer is option (1).
161 150 154 165 168 161 154 162 150 151
162 164 171 165 158 154 156 172 160 170
153 159 161 170 162 165 166 168 165 164
154 152 153 156 158 162 160 161 173 166
161 159 162 167 168 159 158 153 154 159
The maximum and minimum height ranges of the pupils are also included in this table, along with information on which range the majority of the students fall in.
50 students make up the class as a whole.
The height range for a student in the class is between 150 and 155.
The height of a pupil in the class may not exceed 170 to 175 inches.
To determine the range in which the majority of students fall:
Students that are under 165 cm,
12 + 9 + 14
35
Percentage,
%=70%
Therefore, it can be inferred from the following table that the minimum range of heights is 150–155 and the maximum range is 170–175 inches.
Additionally, it can be inferred from the data that more than 50% of the kids are under 165 cm in height.
Therefore the answer is option (1).
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