Paulo has an online store where he sells stickers, keychains, and art prints. The number of sales he makes each day from his online store is represented in the box plot below.

Which statement is true?
Responses

A On 50% of the days, Paulo made more than 50 sales.On 50% of the days, Paulo made more than 50 sales.

B The IQR of the data is 70.The IQR of the data is 70.

C On 75% of the days, Paulo made between 10 and 40 sales.On 75% of the days, Paulo made between 10 and 40 sales.

D On 25% of the days, Paulo made more than 50 sales.

1 answer

To determine which statement is true, we need to analyze the information that a box plot provides (though the actual box plot data isn't provided here). Here's a brief overview of what each statement implies:

A. Suggests that the median (the 50th percentile) of the sales data is 50, meaning half of the days had more than 50 sales.

B. States that the interquartile range (IQR), which is the difference between the 75th and 25th percentiles, is 70. This would mean the range of the middle 50% of sales is 70.

C. Indicates that 75% of the days had sales between 10 and 40, meaning the 75th percentile is at or below 40.

D. Specifies that 25% of the days had more than 50 sales, implying the 75th percentile is at or below 50.

Analyzing each option:

  • A: True if the median is indeed at 50.
  • B: True if the IQR is indeed calculated to be 70; this requires the 25th and 75th percentile information.
  • C: This statement must be evaluated against the 75th percentile, which is not provided.
  • D: This is true if the 75th percentile is indeed at or below 50.

Without the actual numbers from the box plot, we can't definitively answer, but based on traditional interpretations of box plots and the standard order statistics they present, D could often hold true if the upper quartile limits are adhered to.

Please check the box plot for specific quartiles to verify which statement is represented in the data.