Question

91 169 305 330 335 389 393 394 402 410 420 449 452 455 459 465 468 471 472 474 475 479 481 486 487 505 508 509 511 512 517 519 530 537

Using the data from the table, complete the following. Show all work for full credit!

1. Find the mean, median, and mode.

2. Find the 5-number summary and IQR.

3. Construct a frequency distribution table using 10 classes. Start the lower limit with 91.

4. Construct a histogram for the data set and describe the shape and distribution of the data.

5. Using Chebyshev’s Theorem, find the range of data for which 75% of the data falls.

Answer 1

Histogram of x CN 100 200 300 400 500

RStudio File Edit Code View Plots Session Build Dehug Profile Tools Help Addins ▼ 0 untitled14 ) Untitled2. O Untitied3° 0' untitled5-0 Untitled& Untitled7s x O Untitled 0 Untitledg» х 。 Untitled 10-0 untitled11. 、I D L source on Save →Run カ * Source х<-c (91,169,305, 330,335, 389,393, 394,402,410,420,449, 452,455, 459,465,468 ,471,472,474,475 ,479,481,486 ,487,505, 508,509, 511,512,517,519,530, 537) 2 summary(x) 3 hist(x) 4 mean (x) 5 median (x) 6 mode (x) 7 max (x) 8 table(x) 9 breaks<-seq (91,550,1ength.out 10) 10 11 12 13 14 15 breaks x.cut.. _ cut (x , break s , right-FALSE) table(x.cut) hist(x) IQR (x) length(x)

me knew ehebyshevs ihene -9502, 69 6 (434, 629 4-1-15 (27, 4s),439,0291+ = 1,15 C9.43 (324,9294ノ ニ 只9.13) ) (Ang