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7 January, 08:10

The lengths of the electical extension cords in a workshop are 6 ft, 8 ft, 25 ft, 8 ft, 12 ft, 50 ft, and 25 ft. what are the mean, median, mode, and range of the lengths of the cords in inches?

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  1. 7 January, 10:53
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    Mean.

    We determine first the sum of the given lengths. Then, divide the sum by the total number of items. That is,

    mean = (6 ft + 8 ft + 25 ft + 8 ft + 12 ft + 50 ft + 25 ft) / 7

    mean = 19.14 ft

    Median.

    We arrange the items from least to lowest. Then, determine the middle term.

    6 ft, 8 ft, 8 ft, 12 ft, 25 ft, 25 ft, 50 ft

    The middle term (which is the median term) is 12 ft.

    Mode.

    We count how many times a certain item appears in the set and the highest count, will be the mode. From the given set of numbers, the mode is 8 ft and 25 ft.

    Range.

    We subtract the shortest length from the longest length. The answer will then be 50 ft - 8 ft equal to 42 ft.
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