The table below shows the number of hours some business people in two states spend in meetings each week:
State A 21 23 24 22 24 25 23 23 22
State B 24 22 20 23 23 50 20 46 21
Part A: Create a five-number summary and calculate the interquartile range for the two sets of data.
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start by putting the numbers for each group in order
21 22 22 23 23 23 24 24 25
21 22 22 23 23 23 24 24 25 A
20 20 21 22 23 23 24 46 50 B
Is what I mean, but good job.
Not the answer you are looking for? Search for more explanations.
These are the 5 numbers you're looking for in each group.
minimum → lowest number
1st quartile → median of the lower half of numbers
median → middle number
3rd quartile → median of the higher half of the numbers
maximum → highest number
Which ones do you know how to find?
Can you pick out the maximum and minimum in group A?
21 22 22 23 and 23 24 24 25
Right. Now pick out the median. What number is in the middle of group A?
20 20 21 22 and 23 24 46 50
Now for the 1st quartile, look at the numbers left of the median.
They are 21, 22, 22, and 23. We need to find their median. Since it's an even amount of numbers, there you can't just pick it out. We have to add the 2 middle numbers and divide by 2.
1st quartile = (22 + 22)/2 = 22