Question 10
The distribution of heights (in cm) of 96 children is given below.
Height(in cm)Number of children124−128 5128−132 8132−136 17136−140 24140−144 16144−148 12148−152 6152−156 4156−160 3160−164 1
Draw a less than type cumulative frequency curve for this data and use it to compute median height of the children.
Question 10
The distribution of heights (in cm) of 96 children is given below.
Height(in cm)Number of children124−128 5128−132 8132−136 17136−140 24140−144 16144−148 12148−152 6152−156 4156−160 3160−164 1
Draw a less than type cumulative frequency curve for this data and use it to compute median height of the children.
Height(in cm)Number of childrenLess than 124 0Less than 128 5Less than 132 13Less than 136 30Less than 140 54Less than 144 70Less than 148 82Less than 152 88Less than 156 92Less than 160 95Less than 164 96
To draw the less than type ogive, we plot the points (124, 0), (128, 5), (132, 13), (136, 30), (140, 54), (144, 70), (148, 82), (152, 88), (156, 92), (160,95), (164, 96) and join all these point by free hand.
Here, N2=962=48
We take, y=48 in y-coordinate and draw a line parallel to X-axis, meets the curve at A and draw a perpendicular line from point A to the X-axis and this line meets the X-axis at the point which is the median i.e. median=141.17.
Height(in cm)Number of childrenLess than 124 0Less than 128 5Less than 132 13Less than 136 30Less than 140 54Less than 144 70Less than 148 82Less than 152 88Less than 156 92Less than 160 95Less than 164 96
To draw the less than type ogive, we plot the points (124, 0), (128, 5), (132, 13), (136, 30), (140, 54), (144, 70), (148, 82), (152, 88), (156, 92), (160,95), (164, 96) and join all these point by free hand.
Here, N2=962=48
We take, y=48 in y-coordinate and draw a line parallel to X-axis, meets the curve at A and draw a perpendicular line from point A to the X-axis and this line meets the X-axis at the point which is the median i.e. median=141.17.
