Question

23,42,45,50,30,37,54,56,61,49 65,55,27,32,36,58,62,67,53,56 Using the given data, form a grouped frequency distribution using class width of 9 and number of classes being 5 .

Answer 1

To form a grouped frequency distribution, determine the range of the data, the class width, and the lower bound for the first class. Then, determine the upper bounds for each class and create a frequency table.

Step-by-step explanation:

To form a grouped frequency distribution using a class width of 9 and a number of classes of 5, you need to follow these steps:

1. Determine the range of the data by subtracting the smallest value from the largest value. In this case, the range is 65 - 23 = 42.
2. Determine the class width by dividing the range by the number of classes. In this case, the class width is 42 / 5 = 8.4. Since class widths should be whole numbers, round up to the nearest whole number, which is 9.
3. Determine the lower bound for the first class by subtracting half of the class width from the smallest value. In this case, the lower bound is 23 - 4.5 = 18.5. Round this number down to the nearest whole number, which is 18.
4. Using the lower bound and class width, determine the upper bounds for each class. The upper bound for the first class is 18 + 9 = 27. The upper bound for the second class is 27 + 9 = 36, and so on.
5. Create a frequency table by counting the number of data points that fall into each class.

Using these steps, the grouped frequency distribution for the given data would look like this:

ClassLower BoundUpper BoundFrequency118273227363336452445544554638