construct a frequency and a cumulative frequeny histogram based on the table below.

the range for the table are:1-10,11-20,21-30,41-50

The frequency is 2, 3 , 4,4,7,
I need to find the cumulative frequency then graph it , I know how to graph it

You have 4 ranges for scores, but 5 frequencies. What category (range) does the extra one go into (31-40)? In statistics, you need to pay attention to these details.

If they are in order, the first bar in the histogram for a cumulative frequency will have a value of 2, the second 5, the third 9, and so on.

I searched Google under the key words "cumulative histogram" to get these possible sources:

http://www.itl.nist.gov/div898/handbook/eda/section3/histogra.htm
http://www.itl.nist.gov/div898/software/dataplot/refman1/ch2/histogra.pdf

In the future, you can find the information you desire more quickly, if you use appropriate key words to do your own search.

I hope this helps. Thanks for asking.

To construct a frequency histogram and cumulative frequency histogram based on the given table, you can follow these steps:

1. Start by organizing the given frequency data into the corresponding ranges:
- Range 1: 1-10 (frequency: 2)
- Range 2: 11-20 (frequency: 3)
- Range 3: 21-30 (frequency: 4)
- Range 4: 31-40 (frequency: 4)
- Range 5: 41-50 (frequency: 7)

2. Calculate the cumulative frequency by adding up the frequencies from the first category to the current category. Start with the first bar having the value of its frequency:
- Cumulative frequency for Range 1: 2
- Cumulative frequency for Range 2: 2 + 3 = 5
- Cumulative frequency for Range 3: 5 + 4 = 9
- Cumulative frequency for Range 4: 9 + 4 = 13
- Cumulative frequency for Range 5: 13 + 7 = 20

3. Plot the frequency histogram by using the frequencies as the heights of the bars for each range.

4. Plot the cumulative frequency histogram by using the cumulative frequencies as the heights of the bars for each range. The height of each bar should be the total number of observations up to and including that range.

Remember to label both the x-axis and y-axis appropriately, indicating the ranges and frequencies/cumulative frequencies.

In order to graph the histograms, you can use a bar chart on a graphing software or create a visual representation by hand on graph paper.