Bin Frequency3.8106 1

4.740167 05.669733 3

6.5993 37.528867 78.458433 12

9.388 3010.31757 4111.24713 39

12.1767 3513.10627 3914.03583 26

14.9654 1215.89497 216.82453 0

More 2

0204060

Histogram

Frequency

Bin

Frequency

0204060

Histogram

Frequency

Bin

Frequency

Piece Thickness1 8.9099 Greater Than 7 Less Than 152 13.0448 Greater Than 7 Less Than 153 5.1323 0 Less Than 154 12.5274 Greater Than 7 Less Than 155 10.9261 Greater Than 7 Less Than 156 13.3245 Greater Than 7 Less Than 157 13.3968 Greater Than 7 Less Than 158 11.6933 Greater Than 7 Less Than 159 11.9677 Greater Than 7 Less Than 15

10 8.6991 Greater Than 7 Less Than 1511 12.3543 Greater Than 7 Less Than 1512 11.705 Greater Than 7 Less Than 1513 11.2663 Greater Than 7 Less Than 1514 12.2586 Greater Than 7 Less Than 1515 11.4488 Greater Than 7 Less Than 1516 9.8743 Greater Than 7 Less Than 1517 7.3066 Greater Than 7 Less Than 1518 13.8179 Greater Than 7 Less Than 1519 14.8189 Greater Than 7 Less Than 1520 10.555 Greater Than 7 Less Than 1521 12.9678 Greater Than 7 Less Than 1522 11.2091 Greater Than 7 Less Than 1523 9.7326 Greater Than 7 Less Than 1524 13.1403 Greater Than 7 Less Than 1525 12.4722 Greater Than 7 Less Than 1526 7.3684 Greater Than 7 Less Than 1527 10.8424 Greater Than 7 Less Than 1528 6.9182 0 Less Than 1529 12.2572 Greater Than 7 Less Than 1530 9.8474 Greater Than 7 Less Than 1531 9.2116 Greater Than 7 Less Than 1532 12.6241 Greater Than 7 Less Than 1533 9.8697 Greater Than 7 Less Than 1534 8.8594 Greater Than 7 Less Than 1535 12.6345 Greater Than 7 Less Than 1536 14.0881 Greater Than 7 Less Than 1537 12.9089 Greater Than 7 Less Than 1538 12.328 Greater Than 7 Less Than 1539 13.1314 Greater Than 7 Less Than 1540 9.1198 Greater Than 7 Less Than 1541 11.1914 Greater Than 7 Less Than 1542 10.6011 Greater Than 7 Less Than 15

43 11.2372 Greater Than 7 Less Than 1544 8.3758 Greater Than 7 Less Than 1545 7.2888 Greater Than 7 Less Than 1546 12.7399 Greater Than 7 Less Than 1547 10.6256 Greater Than 7 Less Than 1548 6.514 0 Less Than 1549 11.9089 Greater Than 7 Less Than 1550 12.9079 Greater Than 7 Less Than 1551 10.2196 Greater Than 7 Less Than 1552 12.2268 Greater Than 7 Less Than 1553 9.7332 Greater Than 7 Less Than 1554 12.0466 Greater Than 7 Less Than 1555 6.7346 0 Less Than 1556 10.168 Greater Than 7 Less Than 1557 11.8674 Greater Than 7 Less Than 1558 10.1632 Greater Than 7 Less Than 1559 7.9895 Greater Than 7 Less Than 1560 9.9161 Greater Than 7 Less Than 1561 10.1435 Greater Than 7 Less Than 1562 13.9718 Greater Than 7 Less Than 1563 10.537 Greater Than 7 Less Than 1564 11.1943 Greater Than 7 Less Than 1565 10.7395 Greater Than 7 Less Than 1566 7.5347 Greater Than 7 Less Than 1567 10.1415 Greater Than 7 Less Than 1568 13.2809 Greater Than 7 Less Than 1569 12.4475 Greater Than 7 Less Than 1570 12.5707 Greater Than 7 Less Than 1571 11.7552 Greater Than 7 Less Than 1572 6.4862 0 Less Than 1573 14.345 Greater Than 7 Less Than 1574 12.6166 Greater Than 7 Less Than 1575 12.9 Greater Than 7 Less Than 1576 9.7057 Greater Than 7 Less Than 1577 10.8072 Greater Than 7 Less Than 1578 10.6605 Greater Than 7 Less Than 1579 9.1093 Greater Than 7 Less Than 1580 10.5232 Greater Than 7 Less Than 1581 9.9219 Greater Than 7 Less Than 1582 15.7429 Greater Than 7 083 12.9686 Greater Than 7 Less Than 1584 11.3982 Greater Than 7 Less Than 1585 12.6723 Greater Than 7 Less Than 15

86 12.1956 Greater Than 7 Less Than 1587 11.5804 Greater Than 7 Less Than 1588 11.165 Greater Than 7 Less Than 1589 10.6586 Greater Than 7 Less Than 1590 14.3618 Greater Than 7 Less Than 1591 10.272 Greater Than 7 Less Than 1592 14.6644 Greater Than 7 Less Than 1593 8.1593 Greater Than 7 Less Than 1594 9.6018 Greater Than 7 Less Than 1595 11.4076 Greater Than 7 Less Than 1596 3.8106 0 Less Than 1597 11.7424 Greater Than 7 Less Than 1598 11.1117 Greater Than 7 Less Than 1599 11.0167 Greater Than 7 Less Than 15

100 9.3329 Greater Than 7 Less Than 15101 12.3759 Greater Than 7 Less Than 15102 8.7531 Greater Than 7 Less Than 15103 9.4689 Greater Than 7 Less Than 15104 12.4023 Greater Than 7 Less Than 15105 12.4006 Greater Than 7 Less Than 15106 9.1677 Greater Than 7 Less Than 15107 11.0611 Greater Than 7 Less Than 15108 10.788 Greater Than 7 Less Than 15109 10.403 Greater Than 7 Less Than 15110 11.9735 Greater Than 7 Less Than 15111 12.0766 Greater Than 7 Less Than 15112 9.3556 Greater Than 7 Less Than 15113 10.1547 Greater Than 7 Less Than 15114 12.0511 Greater Than 7 Less Than 15115 10.1031 Greater Than 7 Less Than 15116 11.3069 Greater Than 7 Less Than 15117 10.4018 Greater Than 7 Less Than 15118 11.6954 Greater Than 7 Less Than 15119 9.0138 Greater Than 7 Less Than 15120 10.0991 Greater Than 7 Less Than 15121 10.2688 Greater Than 7 Less Than 15122 12.4521 Greater Than 7 Less Than 15123 11.6371 Greater Than 7 Less Than 15124 9.4328 Greater Than 7 Less Than 15125 10.7107 Greater Than 7 Less Than 15126 12.9396 Greater Than 7 Less Than 15127 13.5728 Greater Than 7 Less Than 15128 12.2011 Greater Than 7 Less Than 15

129 9.176 Greater Than 7 Less Than 15130 10.2263 Greater Than 7 Less Than 15131 10.5202 Greater Than 7 Less Than 15132 10.39 Greater Than 7 Less Than 15133 8.944 Greater Than 7 Less Than 15134 8.443 Greater Than 7 Less Than 15135 12.0712 Greater Than 7 Less Than 15136 11.6495 Greater Than 7 Less Than 15137 10.1276 Greater Than 7 Less Than 15138 14.2899 Greater Than 7 Less Than 15139 8.402 Greater Than 7 Less Than 15140 11.1632 Greater Than 7 Less Than 15141 8.9025 Greater Than 7 Less Than 15142 13.378 Greater Than 7 Less Than 15143 11.9449 Greater Than 7 Less Than 15144 14.204 Greater Than 7 Less Than 15145 6.5077 0 Less Than 15146 10.0683 Greater Than 7 Less Than 15147 10.3719 Greater Than 7 Less Than 15148 10.6696 Greater Than 7 Less Than 15149 12.1255 Greater Than 7 Less Than 15150 8.0825 Greater Than 7 Less Than 15151 10.1669 Greater Than 7 Less Than 15152 13.1552 Greater Than 7 Less Than 15153 8.7972 Greater Than 7 Less Than 15154 9.5417 Greater Than 7 Less Than 15155 12.2773 Greater Than 7 Less Than 15156 9.9665 Greater Than 7 Less Than 15157 8.8696 Greater Than 7 Less Than 15158 10.2882 Greater Than 7 Less Than 15159 5.3509 0 Less Than 15160 13.1371 Greater Than 7 Less Than 15161 14.2433 Greater Than 7 Less Than 15162 14.8988 Greater Than 7 Less Than 15163 9.3101 Greater Than 7 Less Than 15164 9.9076 Greater Than 7 Less Than 15165 10.9785 Greater Than 7 Less Than 15166 12.7851 Greater Than 7 Less Than 15167 9.8718 Greater Than 7 Less Than 15168 10.216 Greater Than 7 Less Than 15169 17.7541 Greater Than 7 0170 13.5741 Greater Than 7 Less Than 15171 13.8201 Greater Than 7 Less Than 15

172 13.7614 Greater Than 7 Less Than 15173 11.0949 Greater Than 7 Less Than 15174 9.2322 Greater Than 7 Less Than 15175 11.7331 Greater Than 7 Less Than 15176 13.5425 Greater Than 7 Less Than 15177 13.7623 Greater Than 7 Less Than 15178 9.9752 Greater Than 7 Less Than 15179 10.7911 Greater Than 7 Less Than 15180 12.657 Greater Than 7 Less Than 15181 10.088 Greater Than 7 Less Than 15182 7.3363 Greater Than 7 Less Than 15183 7.2656 Greater Than 7 Less Than 15184 11.6212 Greater Than 7 Less Than 15185 9.454 Greater Than 7 Less Than 15186 8.9242 Greater Than 7 Less Than 15187 13.3565 Greater Than 7 Less Than 15188 11.58 Greater Than 7 Less Than 15189 13.6942 Greater Than 7 Less Than 15190 12.3164 Greater Than 7 Less Than 15191 8.2349 Greater Than 7 Less Than 15192 13.6823 Greater Than 7 Less Than 15193 12.3666 Greater Than 7 Less Than 15194 8.8012 Greater Than 7 Less Than 15195 9.2345 Greater Than 7 Less Than 15196 10.5622 Greater Than 7 Less Than 15197 12.9991 Greater Than 7 Less Than 15198 12.3473 Greater Than 7 Less Than 15199 8.4059 Greater Than 7 Less Than 15200 12.432 Greater Than 7 Less Than 15201 13.8351 Greater Than 7 Less Than 15202 12.4353 Greater Than 7 Less Than 15203 12.5374 Greater Than 7 Less Than 15204 14.09 Greater Than 7 Less Than 15205 9.0578 Greater Than 7 Less Than 15206 11.3513 Greater Than 7 Less Than 15207 11.0732 Greater Than 7 Less Than 15208 10.4592 Greater Than 7 Less Than 15209 11.3984 Greater Than 7 Less Than 15210 9.0609 Greater Than 7 Less Than 15211 8.4065 Greater Than 7 Less Than 15212 9.3658 Greater Than 7 Less Than 15213 10.0031 Greater Than 7 Less Than 15214 14.116 Greater Than 7 Less Than 15

215 10.2539 Greater Than 7 Less Than 15216 12.9305 Greater Than 7 Less Than 15217 9.9659 Greater Than 7 Less Than 15218 10.4479 Greater Than 7 Less Than 15219 13.9673 Greater Than 7 Less Than 15220 13.4223 Greater Than 7 Less Than 15221 11.0727 Greater Than 7 Less Than 15222 12.0294 Greater Than 7 Less Than 15223 10.3942 Greater Than 7 Less Than 15224 8.3579 Greater Than 7 Less Than 15225 11.5241 Greater Than 7 Less Than 15226 5.0497 0 Less Than 15227 14.2943 Greater Than 7 Less Than 15228 17.3556 Greater Than 7 0229 12.2435 Greater Than 7 Less Than 15230 9.1636 Greater Than 7 Less Than 15231 12.1734 Greater Than 7 Less Than 15232 13.4345 Greater Than 7 Less Than 15233 9.1013 Greater Than 7 Less Than 15234 8.6983 Greater Than 7 Less Than 15235 13.7109 Greater Than 7 Less Than 15236 15.7204 Greater Than 7 0237 13.7735 Greater Than 7 Less Than 15238 9.6169 Greater Than 7 Less Than 15239 10.2012 Greater Than 7 Less Than 15240 10.3831 Greater Than 7 Less Than 15241 13.1257 Greater Than 7 Less Than 15242 10.2984 Greater Than 7 Less Than 15243 11.4557 Greater Than 7 Less Than 15244 9.2574 Greater Than 7 Less Than 15245 9.1649 Greater Than 7 Less Than 15246 9.2537 Greater Than 7 Less Than 15247 12.1104 Greater Than 7 Less Than 15248 9.5548 Greater Than 7 Less Than 15249 10.6466 Greater Than 7 Less Than 15250 11.9087 Greater Than 7 Less Than 15251 11.2786 Greater Than 7 Less Than 15252 8.2525 Greater Than 7 Less Than 15

This is fictitious data.This is fictitious data.

Answer Part a:

Answer part b:

Answer Part c:

Yes the Emperical rules for standard deviation are valid for this data because the histogram of the data is bell-shaped.

Yes it is sufficient for average and standard deviation to be 11 and 2 approximately

13 variables out of 252 are not within the range of 7-15 centimeters.

Fraction 13/252

Average 11.028334Standard Deviation 2.1176756

Yes the Emperical rules for standard deviation are valid for this data because the histogram of the data is bell-shaped.

Yes it is sufficient for average and standard deviation to be 11 and 2 approximately

13 variables out of 252 are not within the range of 7-15 centimeters.

Yes the Emperical rules for standard deviation are valid for this data because the histogram of the data is bell-shaped.