Question

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Answer 1

Well, to find the IQR, you have to first find the median. The numbers are 43,44,44,44,45,45,47,48,48. The number in the middle is 45, so the median is 45. Then you take one of the 45's out of the data set and split the data set in half, leaving you with 43,44,44,44 and 45,47,48,48. You then find the median of each of these data sets. The median of 43,44,44,44 is 44 and 44. 44+44=88, and 88/2=44, so your Q^1=44. The median of 45,47,48,48 is 47 and 48. 47+48=95, and 95/2=47.5, so your Q^3=47.5. To find the IQR subtract Q^1 from Q^3. 47.5=44=3.5, so the IQR is 3.5
I hope this helps!
-Raiden

Answer 2

The answer is 2 and here is why. In order to find the interquartile range (also known as IQR). You must first order all the numbers from least to greatest and find the median, or middle number. In this case, the median is 44.5. Now that you have found the median, your data is split into two categories as follows:

43, 44, 44, 44 | 45, 45, 47, 48

Now you have to find the median of each group of numbers. The median for the first group is 44 and the mean for the second group is 46. Next, you subtract the two medians you just found and that's your answer.

46 - 44 = 2

Thus, your answer is 2.