A chain of sports shops catering to beginning skiers, headquartered in Aspen, Colorado, plans to conduct a study of how much a beginning skier spends on her initial purchase and supplies. Based on these figures, to explore the possibility of offering combinations, such as a pair ofboots pair skis, induce customers to buy more. As of cash register receipts revealed these initial purchases:$85 $139 $161 $175 $85 $133 $149 $145 $136 131 290235 132 149 322 214 105 90 162 229 121 113 149 126139 118 156 214 172 87 172 230 195 126 128 142 118 139(a) Find the smallest class interval, use five classes.(b) What would be a better class interval?