Question

A two-way frequency table is shown below that displays the relationship between television technology type and television size sold at a local retail outlet. Store managers took a sample of 90 people and recorded the following results:

Plasma TV LCD TV Projection TV Total
54 inches 20 8 2
68 inches 9 22 2
86 inches 6 16 5
Total 90

The retail outlet is putting its LCD televisions on sale. Given this information, what percent (rounded to the nearest whole percent) of the warehouse should be stocked with 86-inch televisions?

Answer 1

Approximately 18% of the warehouse should be stocked with 86-inch LCD TVs, based on the frequency table provided and after rounding to the nearest whole percent.

Step-by-step explanation:

To determine the percentage of the warehouse that should be stocked with 86-inch LCD televisions for the sale, we look at the two-way frequency table provided.

We need to find the total number of 86-inch televisions and the total number of LCD televisions.

In the 86-inch row, there are 6 Plasma TVs, 16 LCD TVs, and 5 Projection TVs, which gives us a total of 27 TVs of 86-inch size.

From the total row, we can see that there are 90 televisions in total. To find the percentage of 86-inch LCD TVs, we divide the number of 86-inch LCD TVs by the total number of TVs and multiply by 100:

• Number of 86-inch LCD TVs = 16
• Total number of TVs = 90
• Percentage = (16 / 90) * 100 = 17.78%

After rounding to the nearest whole percent, approximately 18% of the warehouse should be stocked with 86-inch LCD TVs.