Question

patsy the peacock sells rare feathers. below is the number of feathers she sold in each of the last eight months. 19,13,8,4,7,14,7,9 using the data, create a histogram.

Explanation:

Step1: Determine data range

The data values are 19, 13, 8, 4, 7, 14, 7, 9. The smallest value is 4 and the largest is 19.

Step2: Decide on bin - width and bins

A common choice could be a bin - width of 5. So the bins are 0 - 4, 5 - 9, 10 - 14, 15 - 19.

Step3: Count data points in each bin

In the 0 - 4 bin, there is 1 value (4). In the 5 - 9 bin, there are 4 values (8, 7, 7, 9). In the 10 - 14 bin, there are 2 values (13, 14). In the 15 - 19 bin, there is 1 value (19).

Step4: Create histogram

On the x - axis, label the bins (0 - 4, 5 - 9, 10 - 14, 15 - 19) and on the y - axis, label the frequency (number of months). Draw bars with heights corresponding to the frequency in each bin.

The given histogram seems to have incorrect bin - boundaries and frequencies. The correct histogram should have a bar of height 1 for the bin 0 - 4, a bar of height 4 for the bin 5 - 9, a bar of height 2 for the bin 10 - 14 and a bar of height 1 for the bin 15 - 19.

Answer:

The correct histogram should have bars with frequencies 1, 4, 2, 1 for bins 0 - 4, 5 - 9, 10 - 14, 15 - 19 respectively.