Question

Which description best fits the distribution of the data shown in the histogram?

Answer 1

Answer with explanation:

The Description about the Histogram is

Vertical Axis = 0-14

Horizontal Axis      Bar Height

0-49                            2

50-99                            6

100-149                         12

150-199                            5

200-249                          1

Plotting the Histogram

→Class interval 150-199 has frequency =5, and class interval 50-99, has frequency equal to 6.

→The curve is not uniform on both sides.

→The interval in which mean , median lies has 6+2=8 frequency on the left of that interval , and 5+1=6, values on the right of class interval [100-149].We can conclude that,the histogram is left Skewed.

→But when we join ,mid points of histogram,the curve obtained resembles with a normal distribution curve called bell curve.It is not exactly bell shaped,as not uniform on both sides explained above.

Option C: Approximately bell Shaped

Answer 2

This is an approximately bell-shaped distribution. The highest bar is in the center, with height = 12. Just to its left and right are bars of heights 6 and 5. At the extremes are bars of heights 2 and 1.

If the highest bar was on the left, it would be skewed left (and if it was on the right, skewed right). A uniform distribution would more or less have the same height level over all the bars.