Question

jayce is testing the effectiveness of a cell phone case made out of a new type of recycled plastic. he randomly samples 20 cases from every batch of 1,000 manufactured and tests their effectiveness at protecting a phone dropped from a set height. this line plot shows the percentage of cases rated as moderately or highly effective from each of the 15 samples jayce took: sample percentages of cell phone cases rated as moderately or highly effective (line plot with 0% to 100% axis) based on these statistics, what is the best estimate for the percentage of phone cases made from the new recycled plastic that are rated as moderately or highly effective? complete the sentence. the percentage of phone cases made from the new recycled plastic that are rated as moderately or highly effective is likely to be about, although it could reasonably be anywhere between.

Explanation:

Step1: List all sample percentages

80%, 80%, 80%, 80%, 80%, 80%, 90%, 90%, 90%, 90%, 90%, 90%, 90%, 90%, 90%

Step2: Find the mode (most frequent value)

The value 90% appears 9 times, more frequently than any other percentage.

Step3: Identify the range of sample values

The lowest sample percentage is 80%, the highest is 100%.

Answer:

The percentage of phone cases made from the new recycled plastic that are rated as moderately or highly effective is likely to be about 90%, although it could reasonably be anywhere between 80% and 100%.