Please help me with problem 5 A-F pleaseee ASAP, please write on paper if possib

Question

Please help me with problem 5 A-F pleaseee ASAP, please write on paper if possible because it helps me understand better. I tried my best with the pictures ative Chapter Twox(3 unread) estimedam ve-eval-cum?mode= eval&course-id-68; roblem5 | In a recent isue of the JEE Spectrum 87 engineering conterences were announced. Here s a abie indicating scheduled to last various numbers of days days # of conferences 4 16 14 12 9 15 a (20%) Fill in the five values defining the box-and-whisker plot below. A. B CD b.a0%) The 65th percentile is c (10%) The 10th percentile is to days d(20%) The middle 50% of the conferences last from e. C20%) The sample mean of the conference lengths is (20%) The mode of the conference lengths is SUEMIT Topics in Probabiliy Descriotive Statistics Evaluation N5

Explanation / Answer

Sol:

code in R

conferences <- c(4,4,16,14,11,12,9,15)
fivenum(conferences)
mean(conferences)
mode(conferences)
summary(conferences)
quantile(conferences, c(.65, .10))

Form box plot we get

min

q1

q2

q3

max

A= 4.0

B= 6.5

C=11.5

D=14.5

E=16.0

Solutionb:

65th percentile is 13.1

10th percentile is 4

middle 50% lies from 11 to 12 days

sample mean=10.625

mode is 4

output:

> conferences <- c(4,4,16,14,11,12,9,15)
> fivenum(conferences)
[1] 4.0 6.5 11.5 14.5 16.0
> mean(conferences)
[1] 10.625
> mode(conferences)
[1] "numeric"
> summary(conferences)
Min. 1st Qu. Median Mean 3rd Qu. Max.
4.00 7.75 11.50 10.62 14.25 16.00
> quantile(conferences, c(.65, .10))
65% 10%
13.1 4.0
> sort(conferences)
[1] 4 4 9 11 12 14 15 16

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