Question

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 his or her initial purchase of equipment and supplies. Based on these figures, it wants to explore the possibility of offering combinations, such as a pair of boots and a pair of skis, to induce customers to buy more. A sample of 44 cash register receipts revealed these initial purchases:

$	142		$	85		$	139		$	161		$	175		$	85		$	133		$	149		$	145
	126			315			244			132			172			149			166			214			105
	220			126			90			171			162			229			121			118			149
	126			128			118			172			156			214			87			172			327
	162			195			128			126			142			118			127			128

1. Find the smallest class interval. Use five classes. (Round your answer to 1 decimal place.)
2. What would be a better class interval?
   c. Organize the data into a frequency distribution using a lower limit of $80 $ 80 up to $ 130 up to up to up to up to
   

Answer 1

a) Class interval = (Highest observed value - Lowest observed value)/ Number of classes.

Highest observed value = 327

Lowest observed value =85

Number of classes = 5

class interval = (327-85)/5= 242/5= 48.4.

b) 50

c)

$80 up to $130= 17

$130 up to $180= 19

$180 up to $230 = 5

$230 up to $280= 1

$280 up to $ 330 = 2

.