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Six movies based on Marvel comic book characters for the U.S. box office as of fall 2017 are shown in the accompanying table, with domestic gross rounded to the nearest million. Complete parts (a) through (c) below. Domestic Grss Movie ($ millions) Spiderman (2002) 602 Spiderman 2 (2004) 520 Avengers: Age of Ultron (2015) 471 Spiderman 3 (2007) 423 Captain America: Civil War (2016) 408 Guardians of the Galaxy Vol. 2 (2017) 389 a. Sort the domestic gross income from smallest to largest. Find the median by averaging the two middle numbers. Interpret the median in context. Put the domestic gross income ($ millions) in order from smallest to largest. Find the median by averaging the two middle numbers. Interpret the median in context. Select the correct choice below and fill in the answer box within your choice.

Six movies based on Marvel comic book characters for the U.S. box office as of fall 2017 are shown in the accompanying table, with domestic gross rounded to the nearest million. Complete parts (a) through (c) below. Domestic Grss Movie ($ millions) Spiderman (2002) 602 Spiderman 2 (2004) 520 Avengers: Age of Ultron (2015) 471 Spiderman 3 (2007) 423 Captain America: Civil War (2016) 408 Guardians of the Galaxy Vol. 2 (2017) 389 a. Sort the domestic gross income from smallest to largest. Find the median by averaging the two middle numbers. Interpret the median in context. Put the domestic gross income ($ millions) in order from smallest to largest. Find the median by averaging the two middle numbers. Interpret the median in context. Select the correct choice below and fill in the answer box within your choice.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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### Marvel Movies Domestic Gross Analysis **Table of Domestic Gross for Marvel Movies (as of Fall 2017):** | Movie | Domestic Gross ($ millions) | |-------------------------------|----------------------------| | Spiderman (2002) | 602 | | Spiderman 2 (2004) | 520 | | Avengers: Age of Ultron (2015)| 471 | | Spiderman 3 (2007) | 423 | | Captain America: Civil War (2016) | 408 | | Guardians of the Galaxy Vol. 2 (2017) | 389 | **Tasks:** a. **Sort the Domestic Gross:** - Sort the domestic gross income from smallest to largest. - Find the median by averaging the two middle numbers. - Interpret the median in context. **Put the domestic gross income ($ millions) in order from smallest to largest:** - [ ] - [ ] - [ ] - [ ] - [ ] - [ ] **Find the median:** - Find the median by averaging the two middle numbers. - Interpret the median in context. Select the correct choice below and fill in the answer box within your choice. **Choices:** - [ ] A. The median is ___ million dollars. This means that none of these 6 Marvel movies made more than this much money. - [ ] B. The median is ___ million dollars. This means that about 25% of these 6 Marvel movies made more than this much money. - [ ] C. The median is ___ million dollars. This means that about 75% of these 6 Marvel movies made more than this much money. - [ ] D. The median is ___ million dollars. This means that about 50% of these 6 Marvel movies made more than this much money.
Transcribed Image Text:### Marvel Movies Domestic Gross Analysis **Table of Domestic Gross for Marvel Movies (as of Fall 2017):** | Movie | Domestic Gross ($ millions) | |-------------------------------|----------------------------| | Spiderman (2002) | 602 | | Spiderman 2 (2004) | 520 | | Avengers: Age of Ultron (2015)| 471 | | Spiderman 3 (2007) | 423 | | Captain America: Civil War (2016) | 408 | | Guardians of the Galaxy Vol. 2 (2017) | 389 | **Tasks:** a. **Sort the Domestic Gross:** - Sort the domestic gross income from smallest to largest. - Find the median by averaging the two middle numbers. - Interpret the median in context. **Put the domestic gross income ($ millions) in order from smallest to largest:** - [ ] - [ ] - [ ] - [ ] - [ ] - [ ] **Find the median:** - Find the median by averaging the two middle numbers. - Interpret the median in context. Select the correct choice below and fill in the answer box within your choice. **Choices:** - [ ] A. The median is ___ million dollars. This means that none of these 6 Marvel movies made more than this much money. - [ ] B. The median is ___ million dollars. This means that about 25% of these 6 Marvel movies made more than this much money. - [ ] C. The median is ___ million dollars. This means that about 75% of these 6 Marvel movies made more than this much money. - [ ] D. The median is ___ million dollars. This means that about 50% of these 6 Marvel movies made more than this much money.
### Interquartile Range and Variability Analysis #### b. Calculating Quartiles and Interquartile Range **Find Q1 and Q3:** - **Q1:** \[ \_\_\_\_\_\_\_ \] million dollars (Type an integer or a decimal. Do not round.) - **Q3:** \[ \_\_\_\_\_\_\_ \] million dollars (Type an integer or a decimal. Do not round.) **Determine the Interquartile Range (IQR):** - **IQR:** \[ \_\_\_\_\_\_\_ \] million dollars (Simplify your answer. Type an integer or a decimal. Do not round.) **Interpret the Interquartile Range:** Choose the correct statement: - **A.** These 6 Marvel movies had domestic grosses that varied by as much as this value. - **B.** The middle 50% of these 6 Marvel movies had domestic grosses that varied by as much as this value. - **C.** This value is the mean domestic gross of these 6 Marvel movies. - **D.** This value is the difference between the maximum and minimum domestic grosses of these 6 Marvel movies. #### c. Range and IQR as Measures of Variability **Calculate the Range of the Data:** - **Range:** \[ \_\_\_\_\_\_\_ \] million dollars (Simplify your answer. Type an integer or a decimal. Do not round.) **Justification for IQR Preference:** Choose why the IQR is preferred as a measure of variability: - **A.** The IQR depends on a single observation, and is therefore more reliable. - **B.** The IQR depends on only two observations, the largest and the smallest, and is therefore more reliable. - **C.** The IQR depends on many observations and is therefore more reliable. - **D.** The IQR depends on only two observations, the mean and the median, and is therefore more reliable.
Transcribed Image Text:### Interquartile Range and Variability Analysis #### b. Calculating Quartiles and Interquartile Range **Find Q1 and Q3:** - **Q1:** \[ \_\_\_\_\_\_\_ \] million dollars (Type an integer or a decimal. Do not round.) - **Q3:** \[ \_\_\_\_\_\_\_ \] million dollars (Type an integer or a decimal. Do not round.) **Determine the Interquartile Range (IQR):** - **IQR:** \[ \_\_\_\_\_\_\_ \] million dollars (Simplify your answer. Type an integer or a decimal. Do not round.) **Interpret the Interquartile Range:** Choose the correct statement: - **A.** These 6 Marvel movies had domestic grosses that varied by as much as this value. - **B.** The middle 50% of these 6 Marvel movies had domestic grosses that varied by as much as this value. - **C.** This value is the mean domestic gross of these 6 Marvel movies. - **D.** This value is the difference between the maximum and minimum domestic grosses of these 6 Marvel movies. #### c. Range and IQR as Measures of Variability **Calculate the Range of the Data:** - **Range:** \[ \_\_\_\_\_\_\_ \] million dollars (Simplify your answer. Type an integer or a decimal. Do not round.) **Justification for IQR Preference:** Choose why the IQR is preferred as a measure of variability: - **A.** The IQR depends on a single observation, and is therefore more reliable. - **B.** The IQR depends on only two observations, the largest and the smallest, and is therefore more reliable. - **C.** The IQR depends on many observations and is therefore more reliable. - **D.** The IQR depends on only two observations, the mean and the median, and is therefore more reliable.
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