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Chapter 1: Q 4.4. (page 42)

About 1.6 million first-year students enroll in colleges and universities each year. What do they plan to study? The graph displays data on the percent of first-year students who plan to major in several discipline areas.

Would it be correct to describe this distribution as right-skewed? Why or why not?

Short Answer

Expert verified

The given graph is right skewed.

Step by step solution

01

The given information

The given graph has to be decided to describe this distribution as right-skewed or not.

02

Concept

Quantitative variables can have a wide range of values. When adjacent values are grouped together, a graph of the distribution becomes clearer. A histogram is the most frequent graph for displaying the distribution of a single quantitative variable.

03

Explanation

The majority of the graph data is displayed on the left-hand side of the histogram, but some of the big size values are exhibited on the right-hand side, indicating that the data is skewed to the right. As a result, the graph is right-skewed.

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Most popular questions from this chapter

About 1.6million first-year students enroll in colleges and universities each year. What do they plan to study? The pie chart displays data on the percent of first-year students who plan to major in several discipline areas. About what percent of first-year students plan to major in business? In social science?

You have data on the weights in grams of 5baby pythons. The mean weight is 31.8 and the standard deviation of the weights is 2.39. The correct units for the standard deviation are

(a) no units鈥攊t鈥檚 just a number.

(b) grams.

(c) grams squared.

(d) pythons.

(e) pythons squared

An experiment was conducted to investigate the effect of a new weed killer to prevent weed growth in onion crops. Two chemicals were used: the standard weed killer (C) and the new chemical (W). Both chemicals were tested at high and low concentrations on a total of 50 test plots. The percent of weeds that grew in each plot was recorded. Here are some boxplots of the results. Which of the following is not a correct statement about the results of this experiment?

(a) At both high and low concentrations, the new chemical (W) gives better weed control than the standard weed killer (C).

(b) Fewer weeds grew at higher concentrations of both chemicals.

(c) The results for the standard weed killer are less variable than those for the new chemical.

(d) High and low concentrations of either chemical have approximately the same effects on weed growth.

(e) Some of the results for the low concentration of weed killer W show fewer weeds growing than some of the results for the high concentrate

Electoral votes To become president of the United States, a candidate does not have to receive a majority of the popular vote. The candidate does have to win a majority of the 538 electoral votes that are cast in the Electoral College. Here is a stemplot of the number of electoral votes for each of the 50 states and the District of Columbia.

(a) Make a boxplot of these data by hand. Be sure to check for outliers.

(b) Which measure of center and spread would you use to summarize the distribution鈥攖he mean and standard deviation or the median and IQR? Justify your answer.

Dates on coins

(a) Sketch a dot-plot for a distribution that is skewed to the left.

(b) Suppose that you and your friends emptied your pockets of coins and recorded the year marked on each coin. The distribution of dates would be skewed to the left. Explain why.
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