Write the class size and class limits in each of the following:
(i) 104, 114, 124, 134, 144, 154 and 164
(ii) 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97 and 102
(iii) 12.5, 17.5, 22.5, 27.5, 32.5, 37.5, 42.5, 47.5
Answers
Given : (i) 104, 114, 124, 134, 144, 154 and 164
Class size = 114 – 104 = 10
Lower limit = 104 - 10/2 = 104 - 5 = 99
Upper limit = 104 + 10/2 = 104 + 5 = 109
So the first class is 99 - 109
The other class limits are :
109 - 119, 119 - 129,129 - 139, 139 - 149, 149 - 159, 159 - 169
(ii) 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97 and 102
Class size = 52 – 47 = 5
Lower limit = 47 - 5/2 = 47 - 2.5 = 44.5
Upper limit = 47 + 5/2 = 47 + 2.5 = 49.5
So the first class is 44.5 - 49.5
The other class limits are :
49.5 - 54.5, 54.5 - 59.5, 59.5 - 64.5, 64.5 - 69.5, 69.5 - 74.5, 74.5 - 79.5, 79.5 - 84.5, 84.5 - 94.5 , 94.5 - 99.5, 99.5 - 104.5
(iii) 12.5, 17.5, 22.5, 27.5, 32.5, 37.5, 42.5, 47.5
Class size = 17.5 – 12.5 = 5
Lower limit = 12.5 - 5/2 = 12.5 - 2.5 = 10
Upper limit = 12.5 + 5/2 = 12.5 + 2.5 = 15
So the first class is 10 - 15
The other class limits are :
15 -20, 20 - 25 , 25 -30, 30 - 35 ,35 -40, 40 - 45 , 45 - 50
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Given : (i) 104, 114, 124, 134, 144, 154 and 164Class size = 114 – 104 = 10
Lower limit = 104 - 10/2 = 104 - 5 = 99
Upper limit = 104 + 10/2 = 104 + 5 = 109
So the first class is 99 - 109
The other class limits are :
109 - 119, 119 - 129,129 - 139, 139 - 149, 149 - 159, 159 - 169
(ii) 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97 and 102
Class size = 52 – 47 = 5
Lower limit = 47 - 5/2 = 47 - 2.5 = 44.5
Upper limit = 47 + 5/2 = 47 + 2.5 = 49.5
So the first class is 44.5 - 49.5
The other class limits are :
49.5 - 54.5, 54.5 - 59.5, 59.5 - 64.5, 64.5 - 69.5, 69.5 - 74.5, 74.5 - 79.5, 79.5 - 84.5, 84.5 - 94.5 , 94.5 - 99.5, 99.5 - 104.5
(iii) 12.5, 17.5, 22.5, 27.5, 32.5, 37.5, 42.5, 47.5
Class size = 17.5 – 12.5 = 5
Lower limit = 12.5 - 5/2 = 12.5 - 2.5 = 10
Upper limit = 12.5 + 5/2 = 12.5 + 2.5 = 15
So the first class is 10 - 15
The other class limits are :
15 -20, 20 - 25 , 25 -30, 30 - 35 ,35 -40, 40 - 45 , 45 - 50