ygrant03

01.06.2021 • 

Mathematics

Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month to answer the questions. Two box plots shown. The top one is labeled Males. Minimum at 0, Q1 at 3, median at 10, Q3 at 15, maximum at 35. The bottom box plot is labeled Females. Minimum at 0, Q1 at 2, median at 6, Q3 at 9, maximum at 14, and a point at 31. Part A: Estimate the IQR for the males' data. (2 points) Part B: Estimate the difference between the median values of each data set. (2 points) Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points) Part D: Provide a possible reason for the outlier in the data set. (2 points)

Ответ:

ekmusicent4028

06.12.2022

Mathematics

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Step-by-step explanation:

6+12+18+6n=3n(n+1)

Proof by induction

True for n = 1

6 = 3(1)(1+1)

Assume true for n = k

6+12+18+6k=3k(k+1)

Then show that

6+12+18+6(k+1)= 3(k+1)(k+1+1)

We add 6(k+1) to both sides of

6+12+18+6k=3k(k+1)

6+12+18+6k +6(k+1) =3k(k+1) + 6(k+1)

= 3(k+1)(k + 2)

= 3(k+1)(k+1+1)

So true for n = k+1

Since true for n=1 it is true for n=2,3,...

Thus true for all natural numbers n by mathematical induction

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