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Answers
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Answer:
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Step-by-step explanation:
1.1 The most frequent observation is 130, and the mode is hence 130 USD. The
median is observation 338. By a little trial and error we see that 90 C 115 C 121 D
326. Then observation 338 must belong to category number 4. The median is hence
130 USD. To find the 1. and 3. quartile we compute
675 C 1
4 D 169; 169 -
3 D 507:
We see that observation 169 must belong to category 2, i.e., the 1. quartile is 110
USD. Furthermore we see that 90 C 115 C 121 C 162 D 488. This means that
observation 507 must belong to category 5, i.e., the 3. quartile is 140 USD.
1.2
(a) The most frequent observation is 2, which we recorded 459 times. The median is
observation 638. There is in total 257 C 241 D 498 observations in the two first
categories. Then observation 638 must be in category 3. The median is hence 2.
To find the 1. and 3. quartile we compute
1275 C 1
4 D 319; 319 -
3 D 957:
We see that observation 319 must be in category 2, i.e., the 1. quartile is 1.
Furthermore we see that in total 257 C 241 C 459 D 957 observations are in
categories 1,2,3. The 3. quartile must then be in category 3, and the 3. quartile
is hence 2.
(b) To compute the mean, we have to remember that the same observation is listed
multiple times.
X D 1
1275.0 C-
-
-
C 0 C 1 C-
-
-
C 1 C 2 C-
-
-
C 2
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