The distribution of heights (in cm) of 96 children is given below. Construct a histogram and a frequency polygon on the same axes.
Answers
The distribution of heights (in cm) of 96 children is given below. Construct a histogram and a frequency polygon on the same axes.
The complete question is,
Height in (cm) Number of children
124 - 128 5
128 - 132 8
132 - 136 17
136 - 140 24
140 - 144 16
144 - 148 12
148 - 152 6
152 - 156 4
156 - 160 3
160 - 164 1
The class interval can be calculated as = 128 - 124 = 132 - 128 = 4
Therefore, now we need to calculate the heights of rectangles to be represented in the histogram.
The height of rectangle for class interval 124 - 128 = 5/4 = 1.25 divisions
The height of rectangle for class interval 128 - 132 = 8/4 = 2 divisions
The height of rectangle for class interval 132 - 136 = 17/4 = 4.25 divisions
The height of rectangle for class interval 136 - 140 = 24/4 = 6 divisions
The height of rectangle for class interval 140 - 144 = 16/4 = 4 divisions
The height of rectangle for class interval 144 - 148 = 12/4 = 3 divisions
The height of rectangle for class interval 148 - 152 = 6/4 = 1.5 divisions
The height of rectangle for class interval 152 - 156 = 4/4 = 1 divisions
The height of rectangle for class interval 156 - 160 = 3/4 = 0.75 divisions
The height of rectangle for class interval 160 - 164 = 1/4 = 0.25 divisions
Answer:
The distribution of heights (in cm) of 96 children is given below. Construct a histogram and a frequency polygon on the same axes.
The complete question is,
Height in (cm) Number of children
124 - 128 5
128 - 132 8
132 - 136 17
136 - 140 24
140 - 144 16
144 - 148 12
148 - 152 6
152 - 156 4
156 - 160 3
160 - 164 1
The class interval can be calculated as = 128 - 124 = 132 - 128 = 4
Therefore, now we need to calculate the heights of rectangles to be represented in the histogram.
The height of rectangle for class interval 124 - 128 = 5/4 = 1.25 divisions
The height of rectangle for class interval 128 - 132 = 8/4 = 2 divisions
The height of rectangle for class interval 132 - 136 = 17/4 = 4.25 divisions
The height of rectangle for class interval 136 - 140 = 24/4 = 6 divisions
The height of rectangle for class interval 140 - 144 = 16/4 = 4 divisions
The height of rectangle for class interval 144 - 148 = 12/4 = 3 divisions
The height of rectangle for class interval 148 - 152 = 6/4 = 1.5 divisions
The height of rectangle for class interval 152 - 156 = 4/4 = 1 divisions
The height of rectangle for class interval 156 - 160 = 3/4 = 0.75 divisions
The height of rectangle for class interval 160 - 164 = 1/4 = 0.25 divisions
Step-by-step explanation: