Question

the histogram shows the number of items that customers bought during a trip to the grocery store one day. four hundred customers took a trip to the grocery store that day. which is the best estimate for the number who bought fewer than 20 items during their trip? 0.30 0.25 0.20 rel f 0.15 0.10 0.05 0 0 10 20 30 40 50 60 70 number of items o 106 o 28 o 54 o 204

Explanation:

Step1: Identify relevant intervals

The intervals for fewer than 20 items are 0 - 10 and 10 - 20.

Step2: Find relative - frequencies

The relative - frequency for the 0 - 10 interval is 0.15 and for the 10 - 20 interval is 0.12 (estimated from the graph).

Step3: Calculate total relative - frequency

The total relative - frequency for fewer than 20 items is $0.15 + 0.12=0.27$.

Step4: Calculate number of customers

The total number of customers is 400. Multiply the total relative - frequency by the total number of customers: $400\times0.27 = 108$. The closest answer to 108 among the options is 106.

Answer:

106