Question

Student engineers learn that, although handbooks give the strength of a material as a single number, in fact the strength varies from piece to piece. A vital lesson in all fields of study is that "variation is everywhere." The table contains the data from a typical student laboratory exercise for the load in pounds needed to pull apart pieces of Douglas fir 4 inches long and 1.5 inches square. 33.190 31,860 26,520 32,590 33,280 32.320 33,020 32,030 30,460 32.700 32,340 23,040 30,930 32,720 33,650 24,050 30,170 28,730 31.300 31.920 To access the complete data set, click the link for your preferred software format: Excel Minitab JMP SPSS TI R Mac-TXT PC-TXT CSV Crunchlt (a) Give the five-number summary of the distribution of breaking strengths. (Enter your answers in thousands rounded to two decimal places.) thousand pounds Minimum thousand pounds thousand pounds Median - thousand pounds Q thousand pounds Maximum (b) Provided is a stemplot of the data rounded to the nearest hundred pounds. The stems are thousands of pounds, and the leaves are hundreds of pounds. 23 0 24 1 25 26 5 27 28 7 29 30 259 31 399 32 033677 33 0237 The stemplot shows that the distribution is skewèd to the left. Remember that only a graph gives a clear picture of the shape of a distribution. The stemplot shows that the distribution is skewed to the left. Remember that only a graph gives a clear picture of the shape of a distribution. Select the best choice about how the five-number summary shows the skew The minimum is much farther from Q, (around 7 thousand pounds) than the maximum is from Q, (around 1 thousand pounds). This suggests a long right tail, consistent with a right-skewed distribution. The minimum is much farther from Q, (around 7 thousand pounds) than the maximum is from Qs (around I thousand pounds). This suggests a long left tail, consistent with a left-skewed distribution. Both are skewed, but in the stemplot the distribution is right-skewed. Both are skewed, but in the five-number summary the distribution is right-skewed

Answer 1

(a) Minimum 23.040 thuaand pounds 30.300 husand pounds Median 31.980 thouand porunds thousand pounds. 32.700 33.650 thousand poundo Maximum - The eat choi ce would ke O The mnimium is much farther from 8L (avound thousand pounds) marimum is from ( around 4housand pounda). This auggests than the Rong keft tail Reft- akeved distribntion. cs Scanned with Cam atent with a

Answer 2

Min: 23040

Q1:30300

Median:31975

Q3:32710

Max: 33650

The minimum is much farther from ?1$Q_1$ (by about 7000$7000$ pounds) than the maximum is from ?3$Q_3$ (by about 1000$1000$ pounds). This suggests a long left tail.