The following stem-and-leaf chart from the MINITAB software shows the number of
ID: 3205599 • Letter: T
Question
The following stem-and-leaf chart from the MINITAB software shows the number of units produced per day in a factory.
1
3
6
1
4
2
5
6
9
6
0133569
7
7
0236778
9
8
56
7
9
00156
2
10
37
(Leave no cells blank, be certain to zero whenever required.) a. How many days were studied? b. How many observations are in the first class? c. What are the minimum value and the maximum value? The minimum is , the maximum is . d. List the actual values in the fourth row.
60616363656669
61636360656669
60626465656669
60616163656669
e. How many observations are in the second row?
f. How many values are less than 70?
g. How many values are 80 or more?
h. What is the median?
i. How many values are between 60 and 89, inclusive?
The American Society of PeriAnesthesia Nurses (ASPAN; www.aspan.org) is a national organization serving nurses practicing in ambulatory surgery, preanesthesia, and postanesthesia care. The organization's membership is listed below.
State/Region Membership
Alabama 114
Arizona 261
Maryland, Delaware, DC 319
Connecticut 183
Florida 654
Georgia 313
Hawaii 58
Maine 98
Minnesota, Dakotas 335
Missouri, Kansas 324
Mississippi 52
Nebraska 125
North Carolina 342
Nevada 66
New Jersey, Bermuda 321
Alaska, Idaho, Montana, Oregon, Washington 893
New York 690
Ohio 798
Oklahoma 201
Arkansas 74
Illinois 632
Indiana 216
Iowa 76
Kentucky 155
Louisiana 161
Michigan 304
Massachusetts 530
California 1,110
New Mexico 93
Pennsylvania 631
Rhode Island 75
Colorado 344
South Carolina 264
Texas 1,120
Tennessee 122
Utah 45
Virginia 304
Vermont, New Hampshire 192
Wisconsin 316 West Virginia 63
Use statistical software to answer the following questions.
a. Find the mean, median, and standard deviation of the number of members per component. (Round your answers to 1 decimal places.)
Mean?
Median?
Standard deviation?
b-1. Find the coefficient of skewness, using the software method? (Round your answer to 2 decimal places.)
Coefficient of skewness?
b-2. What do you conclude about the shape of the distribution of component size?
Mild positive skewness or Mild negative skewness
(d-1) Are there any outliers?
One, Zero, Three, Four, Two
(d-2) What are the limits for outliers? (Round your answers to 1 decimal place. Negative amounts should be indicated by a minus sign.)
Limits to .
1
3
6
1
4
2
5
6
9
6
0133569
7
7
0236778
9
8
56
7
9
00156
2
10
37
Explanation / Answer
From the stem and leaf plot, data is:
First class: 36
Second class:
Third class: 56
Fourth class: 60, 61, 63, 63, 65, 66, 69
Fifth class: 70, 72, 73, 76, 77, 77, 78
Sixth class: 85, 86
Seventh class: 90, 90, 91, 95, 96
Eigth class: 103, 107
Complete data is:
36, 56, 60, 61, 63, 63, 65, 66, 69, 70, 72, 73, (76)(middle value), 77, 77, 78, 85, 86, 90, 90, 91, 95, 96, 103, 107
a) The number of days studied = Count all the observations in whole data set = 25
b) The number of observations in the first class (only 36)= 1
c)the minimum value = 36 and maximum values = 107
d) The actual values in the fourth row are 60,61,63,63,65,66,69 (first option)
e) The number of values in the second row is '0' because there is no value.
f) The number of values less than 70 is '9' (count all numbers less than 70)
g)Number of values that are 80 or more is '9' (count all numbers more than 80)
h) The median is middle value, Median = 76
i) The number values are between 60 and 89, inclusive is '16' (count all numbersbetween 60 and 89, inclusive)
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