Question

The following data represent the number of chips per cookie in a random sample of a name brand. 24 35 28 28 22 23 29 23 26 32 22 31 25

a. What is the​ 5-number summary?       

b. Sketch a​ box-plot of the data. Input this into the SHOW YOUR WORK tab.

c. What is the overall shape of the​ data: A. ​bell-shaped B. ​right-skewed C. ​left-skewed

Answer 1

a)

Sr. no	sorted X
1	22
2	22
3	23
4	23
5	24
6	25
7	26
8	28
9	28
10	29
11	31
12	32
13	35

maximum =    35
minimum=   22
Median=0.5(n+1)th value =    7   th value of sorted data
=   26  
      
quartile , Q1 = 0.25(n+1)th value=   3.5   th value of sorted data
=   23  
      
Quartile , Q3 = 0.75(n+1)th value=   10.5   th value of sorted data
=   30  

five number summary is (22,23,26,30,35)

b)

c)

overall shape : B) right skewed