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Travel time (1.2) The dot plot below displays data on students’ responses to the question “How long does it usually take you to travel to school?” Describe the shape, center, and spread of the distribution. Are there any outliers?

Short Answer

Expert verified

80and 90appear to be outliers, Shape: right-skewed, Center: 15, Spread: 15

Step by step solution

01

Step 1. Given

02

Step 2. Concept

  • Shape
  • Center
  • Spread
03

Step 3. Explanation

Because the majority of the data points are to the left and the tail is to the right, the shape is right-skewed.

Because the majority of the dots in the dot-plot appear above 15, the center number is 15

Spread 15, because the gap between the mean and the graph's shortest endpoint is roughly 15(0).

Outliers; There are outliers since the dot-plot has wide gaps in it. Outliers are dots that are far away from the rest of the dots, therefore80and 90appear to be outliers. Therefore,80and 90appear to be outliers, Shape: right-skewed, Center: 15, Spread: 15

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Most popular questions from this chapter

R2.6 Horse pregnancies Bigger animals tend to carry their young longer before birth. The length of horse pregnancies from conception to birth varies according to a roughly Normal

distribution with a mean of 336 days and a standard deviation of 3 days. Use the 68-95-99.7 rule to answer the following questions.

(a) Almost all (99.7%)horse pregnancies fall in what range of lengths?

(b) What percent of horse pregnancies are longer than 339 days? Show your work.

Gas it up! (1.3) Interested in a sporty car? Worried that it might use too much gas? The Environmental Protection Agency lists most such vehicles in its “two-seater” or “minicompact” categories. The figure shows boxplots for both city and highway gas mileages for our two groups of cars. Write a few sentences comparing these distributions.

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Working backward

(a) The 63rd percentile.

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(b)z-2.25

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