Question

A food critic collected data on the lengths of time customers waited for their food. On how many customers did the food critic collect data? Time Customers Waited for Food (in hours) 1 2 , 1 4 , 3 4 , 1 2 , 1 4 , 1 2 , 1 The food critic collected data on customers.

Answer 1

(a)7 Customers

(b)
`(3)/(4) Hour`

Explanation:

The Time Customers Waited for Food (in hours) are given as:
`(1)/(2),(1)/(4) , (3)/(4) , (1)/(2) , (1)/(4) , (1)/(2) , 1`

(a)To determine the number of customers on which the food critic collected data, we simply count the information recorder on the length of time the customers waited.

Number of Customers on which the food critic collected data =7

(b)Next, we are required to find the difference in the longest and shortest time that customers waited.

From the given data:
`(1)/(2),(1)/(4) , (3)/(4) , (1)/(2) , (1)/(4) , (1)/(2) , 1`

Longest Time = 1 Hour

Shortest time =
`(1)/(4) hour`

The Difference in time

`=1-(1)/(4)\\\text{Taking LCM}\\=(4-1)/(4)\\=(3)/(4) hour`