Below are summary statistics for the sizes (in acres) of some local vineyards. U

Question

Below are summary statistics for the sizes (in acres) of some local vineyards. Using summary statistics, Yes, because the minimum value in the distribution is less than the lower fence and the maximum value is greater than the upper fence. No, because all the values in the distribution are between the fences. Yes, because the maximum value is far greater than the upper fence. Yes, because the minimum value in the distribution is less than the lower fence. Create a boxplot of these data. What additional information would you need to complete the boxplot? Using the given values, draw as much of the boxplot as possible. Choose the correct plot below.

Explanation / Answer

Solution from given summary statistics, we have,

IQR = Q3 - Q1 = 57.86 - 17.97 = 40.29

Upper fence = Q3 + 1.5 * IQR = 57.86 + 1.5 * 40.29 = 118.295

Lower fence = Q1 - 1.5*IQR = 17.97 - 1.5 * 40.29 = 17.97 - 60.435 = -42.465

Que 1 ) option c) correct.

Yes, because maximum value is greater than the upper fence.

maxximum value = 250

upper fence = 118.295

Therefore option c) is correct.

Que2 ) Here correct boxplot option d) is correct.

Since all given Minimum ,Q1 , Median , Q3 , Maximum values are on boxplot.

Five-number summary A listing of the median, M, the quartiles Q1 and Q3, and the smallest and largest data values of a distribution, written in the order: Minimum, Q1, M, Q3, Maximum is known as a five-number summary. The five-number summary can be used to construct a new graph known as the box plot.

Related Questions

Navigate

• Browse (All)
• Browse B
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.