11. The first histogram below shows the distribution of the yearly incomes of 40 patrons at a college coffee shop. Suppose two more patrons are considered: one making $225000 and the other $250000. The second histogram shows the new income distribution. Summary statistics are also provided. 60000 62500 65000 67500 (1) 70000 (1) 40 n Min. 60680 1st Qu. 63620 Median 65240 Mean 65090 3rd Qu. 66160 (2) 42 60680 63710 65350 73300 66540 Max. 69890 250000 SD 2122 37321 60000 110000 160000 210000 260000 (2) a. Would the mean or the median best represent what we might think of as a typical income for the 42 patrons at this coffee shop? What does this say about the robustness of the two measures? b. Would the standard deviation or the IQR best represent the amount of variability in the incomes of the 42 patrons at this coffee shop? What does this say about the robustness of the two measures?

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11. The first histogram below shows the distribution of the yearly incomes of 40
patrons at a college coffee shop. Suppose two more patrons are considered: one
making $225000 and the other $250000. The second histogram shows the new
income distribution. Summary statistics are also provided.
60000 62500 65000 67500 70000
(1)
(1)
40
n
Min. 60680
1st Qu. 63620
Median 65240
Mean 65090
3rd Qu. 66160
Max.
69890
SD
2122
(2)
42
60680
63710
65350
73300
66540
250000
37321
60000 110000 160000 210000 260000
(2)
a. Would the mean or the median best represent what we might think of as a
typical income for the 42 patrons at this coffee shop? What does this say about
the robustness of the two measures?
b. Would the standard deviation or the IQR best represent the amount of
variability in the incomes of the 42 patrons at this coffee shop? What does this
say about the robustness of the two measures?
Transcribed Image Text:11. The first histogram below shows the distribution of the yearly incomes of 40 patrons at a college coffee shop. Suppose two more patrons are considered: one making $225000 and the other $250000. The second histogram shows the new income distribution. Summary statistics are also provided. 60000 62500 65000 67500 70000 (1) (1) 40 n Min. 60680 1st Qu. 63620 Median 65240 Mean 65090 3rd Qu. 66160 Max. 69890 SD 2122 (2) 42 60680 63710 65350 73300 66540 250000 37321 60000 110000 160000 210000 260000 (2) a. Would the mean or the median best represent what we might think of as a typical income for the 42 patrons at this coffee shop? What does this say about the robustness of the two measures? b. Would the standard deviation or the IQR best represent the amount of variability in the incomes of the 42 patrons at this coffee shop? What does this say about the robustness of the two measures?
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