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Below is a table of the breaking strength in pounds of 20 pieces of Douglas fir.33,190 31,860 32,590 26,520 33,28032,320 33,020 32,030 30,460 32,70023,040 30,930 32,720 33,650 32,34024,050 30,170 31,300 28,730 31,920Give the five-number summary of the distribution of breaking strengths. Match your results below. Make sure that you calculate the quartiles manually exactly as defined in the text. Do not rely on results from calculators or software since they may use alternative definitions for the quartiles.1. 23,040 5. 31,860 9. 32,030 13. 32,465 17. 32,7002. 26,520 6. 31,890 10. 32,320 14. 32,590 18. 32,7203. 30,315 7. 31,920 11. 32,330 15. 32,645 19. 33,0204. 30,460 8. 31,975 12. 32,340 16. 32,710 20. 33,650Enter the number of the term that corresponds to each choice:MinimumQ 1MedianQ 3Maximum

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Answer:

Minimum = 23,040

Q1 = 30315

Q2 = 31975

Q3 = 31975

Maximum = 33650

Step-by-step explanation:

Ordered data:

23040, 24050, 26520, 28730, 30170, 30460, 30930, 31300, 31860, 31920, 32030, 32320, 32340, 32590, 32700, 32720, 33020, 33190, 33280, 33650

The five number summary :

Minimum = 23,040

Lower quartile (Q1) = 1/4(n+1)th term

n = 20

Q1 = 1/4* (21)th term

Q1 = 5.25 ; (5th + 6th) term / 2

Q1 = (30170 + 30460) / 2 = 30315

Median (Q2) :

Q2 = 1/2* (21)th term

Q2 = 10.5 ; (10th + 11th) term / 2

Q2 = (31920 + 32030) / 2 = 31975

Upper Quartile (Q3) :

Q3 = 3/4* (21)th term

Q3 = 15.75 ; (15th + 16th) term / 2

Q 3 = (32700 + 32720) / 2 = 32710

Maximum : 33650

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