To evaluate which statement is false regarding the dataset of heights measured (62, 72, 68, 55, 48, and 65 inches) with 6 data points, let's analyze each statement:
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The data set is too small to be made into a histogram.
While a histogram typically benefits from a larger dataset to show trends and distributions effectively, you can technically create a histogram with any size dataset. However, the effectiveness and clarity of the histogram may be diminished with only 6 data points. -
The data set is small enough that the individual numbers can be examined.
This statement is true. With only 6 data points, each individual number can be easily examined and analyzed. -
The data set is not large enough for a histogram to reveal the true nature of the distribution.
This statement is also true. With only 6 data points, a histogram may not provide meaningful insights into the overall distribution. -
The histogram will be a repeat of the individual numbers.
This statement is false. A histogram groups data into bins, and it represents the frequency of data points within those bins, rather than repeating individual numbers. With 6 different heights, the histogram would show how many data points fall within certain ranges rather than just listing the individual measurements.
Thus, the false statement is 4) the histogram will be a repeat of the individual numbers.