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 Gross Movie ($ millions) The Avengers (2012) 577 Spiderman (2002) 502 Avengers: Age of Ultron (2015) 471 Iron Man 3 (2013) 434 Captain America: Civil War (2016) 408 Iron Man (2008) 384 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. 0 0.0 0 0 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. (Type an integer or a decimal. Do not round.) O A. The median is million dollars. This means that none of these 6 Marvel movies made more than this much money. O B. The median is million dollars. This means that about 75% of these 6 Marvel movies made more than this much money. O C. The median is million dollars. This means that about 50% of these 6 Marvel movies made more than this much money. O D. The median is million dollars This means that about 25% of these 6 Marvel movies made more than this much moneySix 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 Gross Movie ($ millions) The Avengers (2012) 677 Spiderman (2002) 602 Avengers: Age of Ultron (2015) 471 Iron Man 3 (2013) 434 Captain America: Civil War (2016) 408 Iron Man (2008) 384 I liu ute mieuiall by averayily we wwu Imuure numbers. nieIpicture median III CUItext. Select are correct civice DeTow ariu III iif tie diswei JUX WILIIIII youI CHIVICE. (Type an integer or a decimal. Do not round.) O A. The median is million dollars. This means that none of these 6 Marvel movies made more than this much money. O B. The median is million dollars. This means that about 75% of these 6 Marvel movies made more than this much money. C. The median is million dollars. This means that about 50% of these 6 Marvel movies made more than this much money. O D. The median is million dollars. This means that about 25% of these 6 Marvel movies made more than this much money. b. Using the sorted data, find Q1 and Q3. Then find the interquartile range and interpret it in context. Find Q1. Q1 = million dollars (Type an integer or a decimal. Do not round.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 Gross Movie ($ millions) The Avengers (2012) 677 Spiderman (2002) 602 Avengers: Age of Ultron (2015) 471 Iron Man 3 (2013) 434 Captain America: Civil War (2016) 108 Iron Man (2008) 384 Find Q1 Q1 = million dollars (Type an integer or a decimal. Do not round ) Find Q3. Q3 = million dollars (Type an integer or a decimal. Do not round.) Find the interquartile range (IQR) IQR = million dollars (Simplify your answer. Type an integer or a decimal. Do not round.) Interpret the interquartile range in context. Choose the correct answer below.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 Gross Movie ($ millions) The Avengers (2012) 677 Spiderman (2002) 602 Avengers: Age of Ultron (2015) 471 Iron Man 3 (2013) 434 Captain America: Civil War (2016) 408 Iron Man (2008) 384 Interpret the interquartile range in context. Choose the correct answer below. O A. These 6 Marvel movies had domestic grosses that varied by as much as this value O B. The middle 50% of these 6 Marvel movies had domestic grosses that varied by as much as this value O C. This value is the difference between the maximum and minimum domestic grosses of these 6 Marvel. OD. This value is the mean domestic gross of these 6 Marvel movies c. Find the range of the data. Explain why the IQR is preferred over the range as a measure of variability. Range = million dollars (Simplify your answer. Type an integer or a decimal. Do not round.) Why is the IQR preferred over the range as a measure of variability?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 Gross Movie ($ millions) The Avengers (2012) 677 Spiderman (2002) 602 Avengers: Age of Ultron (2015) 471 Iron Man 3 (2013) 434 Captain America: Civil War (2016) 408 Iron Man (2008) 384 O D. This value is the mean domestic gross of these 6 Marvel movies c. Find the range of the data. Explain why the IQR is preferred over the range as a measure of variability Range = million dollars (Simplify your answer. Type an integer or a decimal. Do not round.) Why is the IQR preferred over the range as a measure of variability? A. The IQR depends on only two observations, the largest and the smallest, and is therefore more reliable B. The IQR depends on many observations and is therefore more reliable. C. The IQR depends on a single observation, and is therefore more reliable D. The IQR depends on only two observations, the mean and the median, and is therefore more reliable