Assignment 3

Skewed to the left

A boxplot for a set of data is shown below. (See: https://imgur.com/POqJ7Ij) (a) Indicate whether the distribution of the data appears to be skewed to the left, skewed to the right, approximately symmetric, or none of these.

The value is 2 standard deviations above the mean

Find and interpret the z-score for the data value given. The value 233 in a dataset with mean 189 and standard deviation 22. Round your answer to two decimal places.

Skewed to the right

Indicate whether the following five number summary corresponds most likely to a distribution that is skewed to the left, skewed to the right, or symmetric. (93, 107, 110, 151, 207)

Skewed to the right

One of the variables in the HollywoodMovies2011 dataset is Profitability, which measures the proportion of the budget recovered in revenue from the movie. A profitability less than 1 means the movie did not make enough money to cover the budget, while a profitability greater than 1 means it made a profit. A boxplot of the profitability ratings of all 136 movies is shown in Figure 1. (The largest outlier is the movie Insidious, which had a relatively small budget and relatively high gross revenue.) (See: https://imgur.com/l6LmRGe) (a) Describe the shape of the distribution.

65

One of the variables in the HollywoodMovies2011 dataset is Profitability, which measures the proportion of the budget recovered in revenue from the movie. A profitability less than 1 means the movie did not make enough money to cover the budget, while a profitability greater than 1 means it made a profit. A boxplot of the profitability ratings of all 136 movies is shown in Figure 1. (The largest outlier is the movie Insidious, which had a relatively small budget and relatively high gross revenue.) (See: https://imgur.com/l6LmRGe) (b) Estimate the range. Round your answer to the nearest integer.

3

One of the variables in the HollywoodMovies2011 dataset is Profitability, which measures the proportion of the budget recovered in revenue from the movie. A profitability less than 1 means the movie did not make enough money to cover the budget, while a profitability greater than 1 means it made a profit. A boxplot of the profitability ratings of all 136 movies is shown in Figure 1. (The largest outlier is the movie Insidious, which had a relatively small budget and relatively high gross revenue.) (See: https://imgur.com/l6LmRGe) (c) Estimate the median. Round your answer to the nearest integer.

11, 16

The following describes a sample. The information given includes the five number summary, the sample size, and the largest and smallest data values in the tails of the distribution. Five number summary: (11, 38, 48, 52, 67); n = 120 Tails: 11, 16, 24, 26, 27,..., 60, 61, 61, 62, 67 Clearly identify any outliers. Select all that apply.

Lowest: S (South) Highest: W (West)

The variables in USStates include the percent of the people in each state who say they have engaged in any physical activity in the last month as well as the region of the country in which the state is found (Midwest, Northeast, South, or West). One of these variables is quantitative and one is categorical, and Figure 1 allows us to visualize the relationship between the two variables. (See: https://imgur.com/Fr0j5Os) (a) Which region shows the lowest level of physical activity? Which region shows the highest?

MW (Midwest)

The variables in USStates include the percent of the people in each state who say they have engaged in any physical activity in the last month as well as the region of the country in which the state is found (Midwest, Northeast, South, or West). One of these variables is quantitative and one is categorical, and Figure 1 allows us to visualize the relationship between the two variables. (See: https://imgur.com/Fr0j5Os) (b) Which region appears to have the biggest range?

No

The variables in USStates include the percent of the people in each state who say they have engaged in any physical activity in the last month as well as the region of the country in which the state is found (Midwest, Northeast, South, or West). One of these variables is quantitative and one is categorical, and Figure 1 allows us to visualize the relationship between the two variables. (See: https://imgur.com/Fr0j5Os) (c) Are there any outliers?

Yes

The variables in USStates include the percent of the people in each state who say they have engaged in any physical activity in the last month as well as the region of the country in which the state is found (Midwest, Northeast, South, or West). One of these variables is quantitative and one is categorical, and Figure 1 allows us to visualize the relationship between the two variables. (See: https://imgur.com/Fr0j5Os) (d) Does there appear to be an association between amount of physical activity and region of the country?

10th percentile: 62 90th percentile: 73

There are n equals 100 data points included in the dotplot. Estimate values at the 10th percentile and the 90th percentile for the data in the histogram given above. Round your answers to the nearest integer. (See: https://imgur.com/IF9P1mL)

The interval is 5 to 17.

Use the 95 % rule and the fact that the summary statistics come from a distribution that is symmetric and bell-shaped to find an interval that is expected to contain about 95 % of the data values. A bell-shaped distribution with mean 11 and standard deviation 3

The interval is 180 to 300.

Use the 95 % rule and the fact that the summary statistics come from a distribution that is symmetric and bell-shaped to find an interval that is expected to contain about 95 % of the data values. A bell-shaped distribution with mean 240 and standard deviation 30

(a) (2, 12, 14, 17, 25): boxplot S (b) (5, 15, 18, 20, 23): boxplot R (c) (10, 12, 13, 18, 25): boxplot Q (d) (12, 12, 15, 20, 24): boxplot T

Match each five number summary with one of the boxplots in the figure shown below. (See: https://imgur.com/FDWc8CE)

s = 1: histogram B s = 3: histogram C s = 5: histogram A

Match each standard deviation with one of the histograms given above. (See: https://imgur.com/a/Xu8f1rH)

There are 3 low outliers and 0 high outliers

A boxplot for a set of data is shown below. (See: https://imgur.com/POqJ7Ij) (b) Are there any outliers? If so, how many and are they high outliers or low outliers? If not, enter 0 in the appropriate answer box. Enter the exact answers.

570

A boxplot for a set of data is shown below. (See: https://imgur.com/POqJ7Ij) (c) Give a rough approximation for the mean of the dataset. Round your answer to the nearest integer.

Greater than

One of the variables in the HollywoodMovies2011 dataset is Profitability, which measures the proportion of the budget recovered in revenue from the movie. A profitability less than 1 means the movie did not make enough money to cover the budget, while a profitability greater than 1 means it made a profit. A boxplot of the profitability ratings of all 136 movies is shown in Figure 1. (The largest outlier is the movie Insidious, which had a relatively small budget and relatively high gross revenue.) (See: https://imgur.com/l6LmRGe (d) Do we expect the mean to be greater than or less than the median?