A manager wishes to check the miles her taxi cabs are driven each day. Her findi
ID: 3021262 • Letter: A
Question
A manager wishes to check the miles her taxi cabs are driven each day. Her findings are shown below. Construct a frequency distribution, using ten classes.
136
97
163
118
146
109
99
124
119
151
122
131
124
101
118
118
119
142
124
137
106
152
99
107
151
139
116
137
143
105
99
125
108
160
142
What is the Range?
What is the Class Width?
Fill in the table after creating it on paper. rf and crf are rounded to two decimal places. To input the Class Limits and Class Boundaries, you will need to put the lower class limit/boundary in the first blank and the upper class limit/boundary in the blank below where you input the lower. It is the way the Blackboard tool works.
Class
Limits
Class
Boundaries
Midpoints
f
cf
rf
crf
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
136
97
163
118
146
109
99
124
119
151
122
131
124
101
118
118
119
142
124
137
106
152
99
107
151
139
116
137
143
105
99
125
108
160
142
Explanation / Answer
In the given data:
Min = 97
Max = 163
Range = max - Min = 163 - 97 = 66
Class Width = Range/No. of classes = 66/10 = 6.6 or 7 (round to next whole number)
To find class limits, start from minimum value and add 6 to get upper limit. For next lower limit, add 1 to previous classes' upper limit and so on.
To find class boundaries, subtract 0.5 from lower class limits and add 0.5 to upper class limits.
To find midpoints, take average of class limits.
For frequencies, count number of values fall in each class interval.
For cf, add all frequencies above that class to that class frequency.
For rf, divide each frequency by 35 (sum of all frequencies).
For crf, add all rf above that class to that class rf.
The complete table is shown below:
Class Class Midpoints f cf rf crf Limits Boundaries 97 - 103 96.5 - 103.5 100 5 5 0.14 0.14 104 - 110 103.5 - 110.5 107 5 10 0.14 0.29 111 - 117 110.5 - 117.5 114 1 11 0.03 0.31 118 - 124 117.5 - 124.5 121 9 20 0.26 0.57 125 - 131 124.5 - 131.5 128 2 22 0.06 0.63 132 - 138 131.5 - 138.5 135 3 25 0.09 0.71 139 - 145 138.5 - 145.5 142 4 29 0.11 0.83 146 - 152 145.5 - 152.5 149 4 33 0.11 0.94 153 - 159 152.5 - 159.5 156 0 33 0.00 0.94 160 - 166 159.5 - 166.5 163 2 35 0.06 1.00Related Questions
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