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Text me The percentile plot below shows the distribution of text messages sent and received in a two-day period by a random sample of 16females from a large high school.

(a) Describe the student represented by the highlighted point.

(b) Use the graph to estimate the median number of texts. Explain your method.

Short Answer

Expert verified

Part (a) 80% of the females sent and received messages less than 212 messages in a two-day period.

Part (b) The median of the text messages sent is 115

Step by step solution

01

Part (a) Step 1. Given

02

Part (a) Step 2. Concept

A score in the 95th percentile is a figure on a scale of 100 that represents the percent of a distribution that is equal to or below it.

03

Part (a) Step 3. Explanation

The highlighted point refers to pupils who received or sent200 text messages, which is in the top 80% of the class. The highlighted point corresponds to the 80th percentile. This means that in a two-day period, 80% of females sent and received less than 212 texts.

04

Part (b) Step 1. Explanation

The median has the property that 50% of all data values are less than the median, hence the median and the 50th percentile are the same. Find the value on the horizontal axis that corresponds to 50 on the vertical axis. As a result, the median number of text messages exchanged is 115. As a result, the median of the text messages sent is 115

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