Help please!! I’m confused on this question. Thank you!!!
2 answers:
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Answer:
Median: 189.5
First quartile: 181.5
Third quartile: 203.75
Interquartile Range: 22.25
Step-by-step explanation:
To find the median, first quartile and third quartile we need to organize the data as:
157, 181, 183, 189, 190, 203, 204, 212
Now, the position of the median is calculated as:
Where n is 8, so replacing we get:
So, the median can be calculated as:
Median = 0.5(189) + 0.5(190) = 189.5
Because 189 is in the fourth position and 190 is in the first position.
At the same way the position for the first and third quartile is:
Then, the first and third quartile is equal to:
Q1 = 0.75(181) + 0.25(183) =181.5
Q3 = 0.25(203) + 0.75(204) = 203.75
Where 181 is in the second position, 183 is the third position, 203 is the sixth position and 204 is the seventh position.
Finally, the interquartile range is calculated as:
Q3 - Q1 = 203.75 - 181.5 = 22.25