Question $1$

$1\mathrm{.}1$ The data below is collected from a mine lab. It contains raw data from tests conducted on the weight of stones collected from the Blast. Compile a tally sheet that shows the weight distribution of the stones. $(3)$

$2,5592,5562,5662,5462,561$

$2,5702,5462,5652,5432,538$

$2,5602,5602,5452,5512,568$

$2,5462,5552,5512,5542,574$

$2,5682,5722,5502,5562,551$

$2,5612,5602,5642,5672,560$

$2,5512,5622,5422,5492,561$

$2,5562,5502,5612,5582,556$

$2,5592,5572,5322,5752,551$

$2,5502,5592,5652,5522,560$

$2,5342,5472,5692,5592,540$

$2,5442,5502,5522,5362,570$

$2,5642,5532,5582,5382,564$

$2,5522,5432,5622,5712,553$

$2,5392,5692,5522,5362,537$

$2,5322,5522,5752,5452,551$

$2,5432,5372,5472,5332,538$

$2,5712,5452,5452,5562,543$

$2,5512,5692,5592,5342,561$

$2,5672,5722,5582,5422,574$

$2,5702,5422,5522,5512,553$

$2,5462,5312,5632,5542,544$

$1\mathrm{.}2$ You are the chief Industrial Engineer for a manufacturing company that attempts to maintain a specific weight of the product. The table below gives the sources of energy the company is using to maintain productivity.

a$)$ Construct a Pareto diagram. $(3)$

b$)$ Identify the vital few and important many