The box plot below represents some data set. What percentage of the data values are less than 32?

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1 answer

Based on the box plot below, it can be seen that the lower whisker extends to approximately 28, the lower quartile is at 31, the median is at 36.5, the upper quartile is at 39, and the upper whisker extends to approximately 45.

Since the lower quartile is at 31, that means that 25% of the data values are less than 31. Since the median is at 36.5, that means that 50% of the data values are less than 36.5.

Combining these two pieces of information, we can conclude that 75% of the data values are less than 36.5 in this data set.

Therefore, the percentage of data values less than 32 is less than 75%.

Please note that the exact percentage of data values less than 32 cannot be determined from the information provided without knowing the specific values of the data set.

Box Plot:
Lower whisker: 28
Lower quartile: 31
Median: 36.5
Upper quartile: 39
Upper whisker: 45

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