please help me with this. the red X\'s are wrong.. for Q1 I have 14.3 but it\'s

Question

please help me with this. the red X's are wrong..
for Q1 I have 14.3 but it's wrong
for B I have 9.5 but it's wrong

The following data represent weights in kilograms of maize harvest from a random sample of 72 experimental plots on St. Vincent, an island in the Caribean (Reference: B. G. F. Springer, Proceedings, Caribbean Food Corps. Soc, Vol. 10, pp. 147-152). 7.8 9.1 9.5 10.0 10.2 10.5 11.1 11.5 11.7 11.8 12.2 12.2 12.5 13.1 13.5 13.7 13.7 14.0 14.4 14.5 14.6 15.2 15.5 16.0 16.0 16.1 16.5 17.2 17.8 18.2 19.0 19.1 19.3 19.8 20.0 20.2 20.3 20.5 20.9 21.1 21.4 21.8 22.0 22.0 22.4 22.5 22.5 22.8 22.8 23.1 23.1 23.2 23.7 23.8 23.8 23.8 23.8 24.0 24.1 24.1 24.5 24.5 24.9 25.1 25.2 25.5 26.1 26.4 26.5 26.7 27.1 29.5 (a) Compute the five-number summary min median Q3 max 7.80 14 20.25 23,80 29.50 (b) Compute the interquartile range. 19.5 (c) Make a box-and-whisker plot.

Explanation / Answer

In above case, 1st quartile is a median of lower half of the data. That is median of 1st 36 values. Since 36 is even,

its median is average of 18th and 19th value.

That is, average of 14.0 and 14.4

= ( 14.0 + 14.4) / 2 = 28.4/2 = 14.2

Therefore, 1st quartile is Q1 = 14.2

b) Inter quartile range ( IQR ) is,

IQR = Q3 - Q1 = 23.80 - 14.2 = 9.6

IQR = 9.6

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

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