The boxplot below displays the arm spans for 44 student . The statement that is not true from the given option is
Approximately 25% of the arm spans are less than 180 cm
Option C
Given :
The boxplot below displays the arm spans for 44 students.
The five-number summary for the data is 143, 162, 168, 180, and 202.
From the given five number summary we can see that
minimum =143
First Quartile (25%)= 162
Median (50%)= 168
Third quartile (75%)= 180
Maximum =202
Now we analyze the statements
Approximately 75% of the arm spans are less than 180 cm. Its true because third quartile is 75% that is equal to 180
Approximately 50% of the arm spans are less than 168 cm.. Yes its true because median is 168
Approximately 25% of the arm spans are less than 180 cm. It is false because first quartile 25% is 162. So , 25% of the arm spans are less than 162 cm
Approximately 75% of the arm spans are greater than 162 cm. It is true . because 25% of the arm spans are less than 162 cm
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