Please solve this on paper and upload a picture. Please show your work so I can
ID: 3062618 • Letter: P
Question
Please solve this on paper and upload a picture. Please show your work so I can follow along. Please please please; I'mm struggling.
The following stem and leaf display gives the number of orders received for a sample of 30 households at the Timesaver Mail Order Company.
a. Identify the elements and the variable
Variable:____________________; Element:______________________
b. Construct a frequency, relative frequency, and percentage distribution table using less than method. Take 23 as the lower limit of the class and 7 as the class width.
c. Find all the quartiles for this data set.
d. Find inter quartile range, upper fence and lower fence.
2 4 7 7 8 3 0 0 1 2 3 4 4 5 6 7 8 8 9 4 1 1 4 5 6 6 7 7 9 5 0 2 3 7Explanation / Answer
a) Variable : = no. of orders
Elements: 30 households data
b)
c) Quartile
Q1 = (N/4)th observation of the arranged data in ascending order
Q1 =(N/4)th = 30/4th =7.5th observation , it is between 7th and 8th observation
Q1 =31+0.5(32-31) = 31.5
Q3 =3N/4) th observation = (3*30/4)th = 22.5th observation
Q3 = 46
d) Inter Quartile Range = Q3-Q1 = 46-31.5 =14.5
Lower Fence =Q1-1.5IQR = 31.5-1.5*14.5 =9.75
Upper Fence = Q3+1.5IQR = 67.75
Number of orders frequency Rel freq Percentage 23-29 4 0.1333 13.33 30-36 9 0.3000 30 37-43 6 0.2000 20 44-50 8 0.2667 26.67 51-57 3 0.1000 10 Total 30 1 100.00