reba is eating her favorite cereal. there are 3 2/3 servings remaining in the box. rena pours only 1/3 of a serving onto her bow
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Answer:
a. sample mean for U is 21.55 and sample mean for F is 8.39
b. sample median for U is 17 and sample median for F is 8
c. trimmed mean for U is 17 and trimmed mean for F is 7.95
d. trimmed percentage for U is 18.18% and trimmed percentage for F is 13.33%
Step-by-step explanation:
a) Sample mean can be calculated by adding values and dividing the sum by the number of the values
≈ 21.55
≈ 8.39
b) Sample median is the middle value of a sorted sample:
Sorted(U)= [ 4., 5., 5., 6., 11., 17., 18., 23., 33., 35., 80.]
Sorted(F)=[ 0.5, 2. , 2. , 2. , 3. , 6. , 7. , 8. , 8. , 9.6, 9.8, 12. , 15. , 19. , 22.]
Median(U)=17, which is the 6.th (middle) value
Median(F)=8, which is the 8.th (middle) value
c) If we delete the the smallest and largest observation, we have:
U= [ 5., 5., 6., 11., 17., 18., 23., 33., 35., ]
F= [ 2. , 2. , 2. , 3. , 6. , 7. , 8. , 8. , 9.6, 9.8, 12. , 15. , 19. ]
Using the above equation for the new samples, we have:
TrimmedMean(U)= 17
TrimmedMean(F)=7.95
d) Trimming percentages can be found by dividing number of removed values by the old sample size
That is, for U: , 18.18%
for F: , 13.33%