Answer:
See attached graphic
Explanation:
A histogram represents a graphical display where the data is grouped into intervals and then plotted as vertical bars. The height of each bar shows how many are in each interval. The width of the bar is known as bin size. The number of bars(intervals) is known as number of bins
To plot a histogram manually these steps must be followed. Explanations are with reference to the data provided in this question
- Scan the data to determine the smallest and largest values to see what the range is and decide on a suitable lower value and a suitable upper value. In this particular question the range is 163 to 431 For easier graphing, set lowest to 160 and highest to 460(you may have to experiment with these values). The difference is 460-160=300
- Decide on how many bins(intervals) you want on the X-axis. Here let's decide on 5 bins. Then each bin size = 300/5 = 60
- Therefore we can compute the frequency table for the data by counting how many values appear in each interval. Here is what the result looks like
160-219 6
220-279 5
280-339 4
340-399 3
400-459 2
For example, in the above table there are 2 values in the range 400-460 ie the last 2 values : 402 and 43
Finally plot the histogram using the interval values as the width of each vertical bar and the height corresponding to the frequency values i.e. 6, 5, 4, 3 and 2
There are many tools online to plot histograms and this is surely the best way to go to give you an idea of how the plot looks like rather than work from scratch. You can also use Microsoft Excel to plot your histograms
The attached histogram graphic was created using an online histogram maker