Use the data given in the table to construct a frequency distribution and ogive? Before constructing a dam on a Hill river, the Army corps of engineers performed a series of tests to measure the water flow past the proposed location of the dam. The results of the testing were used to construct the following frequency distribution:
River flow (OOO's of units per min) Frequen('L
1001-1050 7
1051-1100 21
1101-1150 32
1151-1200 49
1201-1250 58
1251-1300 41
1301-1350 27
1351-1400 11
To construct a frequency distribution and an ogive based on the given data, follow these steps:
1. Draw a table with two columns labeled "Class Interval" and "Frequency".
2. In the "Class Interval" column, write the ranges for each interval based on the given data. For example, the first class interval is 1001-1050, the second is 1051-1100, and so on.
3. In the "Frequency" column, write the corresponding frequencies for each class interval. For example, for the first class interval 1001-1050, the frequency is 7.
4. Calculate the cumulative frequency for each class interval by adding up the frequencies from the previous intervals.
5. Draw a histogram using the class intervals and frequencies. The height of each bar should correspond to the frequency.
6. To construct an ogive, draw another table with two columns labeled "Class Interval" and "Cumulative Frequency".
7. In the "Class Interval" column, write the same class intervals as in the previous table.
8. In the "Cumulative Frequency" column, write the cumulative frequency for each class interval. Start with the frequency of the first class interval and add the subsequent frequencies to get the cumulative frequency.
9. Plot the cumulative frequency on a graph, using the class intervals on the x-axis and the cumulative frequency on the y-axis. Connect the points to form a cumulative frequency curve.
By following these steps, you will be able to construct a frequency distribution and an ogive based on the given data.