High School

Use the given minimum and maximum data entries, and the number of classes, to find the class width, the lower class limits, and the upper class limits.

Minimum: 13
Maximum: 61
Number of classes: 7

The class width is:

Choose the correct lower class limits below:
A. 23, 35, 48, 59, 71, 83
B. 24, 35, 48, 60, 72, 83
C. 12, 24, 36, 48, 60, 72
D. 12, 23, 36, 47, 59, 72

Choose the correct upper class limits below:
A. 23, 35, 48, 60, 71, 83
B. 24, 36, 47, 59, 72, 83
C. 23, 35, 47, 59, 71, 83
D. 24, 36, 48, 60, 72, 83

Answer :

To find the upper class limits for a given set of data with a specified number of classes, we need to determine the class width, lower class limits, and upper class limits.

The class width can be found by subtracting the minimum value from the maximum value and dividing it by the number of classes. In this case, the class width is (61 - 13) / 7 = 48 / 7 = 6.857.

To determine the lower class limits, we start with the minimum value and add the class width successively. The correct lower class limits are 13, 20.857, 27.714, 34.571, 41.429, 48.286, and 55.143.

The upper class limits can be obtained by subtracting a small value (0.001) from the lower class limit of the next class. The correct upper class limits are 20.856, 27.713, 34.57, 41.428, 48.285, 55.142, and 62.

Based on the given options, the correct choices for the lower class limits and upper class limits are:

Lower class limits: D. 12, 23, 36, 47, 59, 72

Upper class limits: OD. 24, 36, 48, 60, 72, 83

These choices correspond to the calculated values and follow the pattern of adding the class width to the lower class limits and subtracting a small value to obtain the upper class limits.

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