Basic Technical Mathematics, 11th Edition

Chapter 22

1. 1.

   

2. 2.

   Number	1	2	3	4	5	6	7	8	9	10
   Frequency	1	0	1	2	3	2	1	2	2	1

   ${\displaystyle \hspace{0.17em}\sum \hspace{0.17em}f}\hspace{0.17em}=\hspace{0.17em}15$

   Median is eighth number; $\text{median}\hspace{0.17em}=\hspace{0.17em}6.$

3. 3. 5 appears three times, and no other number appears more than twice; $\text{mode}\hspace{0.17em}=\hspace{0.17em}5.$

4. 4.

   Number	1–3	3–5	5–7	7–9	9–11
   Frequency	1	3	5	3	3

   (left endpoint included)

   

5. 5.

   Stem	Leaf
   7	2 9
   8	2 5 7
   9	1 4 4 6
   10	7

6. 6. Let $t\hspace{0.17em}=\hspace{0.17em}\text{thickness}$

   $\begin{array}{rcl}\stackrel{\hspace{0.17em}¯\hspace{0.17em}}{t}& \hspace{0.17em}=\hspace{0.17em}& {\displaystyle \frac{3(0.90)\hspace{0.17em}+\hspace{0.17em}9(0.91)\hspace{0.17em}+\hspace{0.17em}31(0.92)\hspace{0.17em}+\hspace{0.17em}38(0.93)\hspace{0.17em}+\hspace{0.17em}12(0.94)\hspace{0.17em}+\hspace{0.17em}5(0.95)\hspace{0.17em}+\hspace{0.17em}2(0.96)}{3\hspace{0.17em}+\hspace{0.17em}9\hspace{0.17em}+\hspace{0.17em}31\hspace{0.17em}+\hspace{0.17em}38\hspace{0.17em}+\hspace{0.17em}12\hspace{0.17em}+\hspace{0.17em}5\hspace{0.17em}+\hspace{0.17em}2}}\\ \hspace{0.17em}=\hspace{0.17em}& {\displaystyle \frac{92.7}{100}}\hspace{0.17em}=\hspace{0.17em}0.927\text{ in}\hspace{0.17em}.\hspace{0.17em}\end{array}$

7. 7. Using 1-Var stats with thicknesses ...