The ten topgrossing movies of a certain film studio are show

in millions of The ten top-grossing movies of a certain film studio are shown, in millions of Gross (S Millions) dollars. Complete a and b below Gross ($ Millions) 193 213 228 139 270 256 238 170 298 a. Arrange the gross income from smallest (on the left) to largest (showing the arrangement), and find the median by avernging the two middle numbers.Interpret the median in context. Arrange the gross incomes from smallest to largest. 1ng13BL 7011193 21342281 238 270 29 1174 1391701193] 213228,238,256 270,298 Find the median by averaging the two middle numbers. The median of this data set is 220.5 (Type an integer or a decimal.) Interpret the median in context. Choose the correct answer below. OA. The median of the top 10 grossing movies is equal to the average of the top 10 grossing movies. O8. The median of the top 10 grossing movies is the typical income for the top 10 grossing movies OC The median ofthe top 10 grossing mo OD. The median is the gross income that appears most often in the top 10. vies suggests that 25% of the top 10 grossing movies made more than the median, and 75% of the top 10 grossing movies made less than the median. b. Using the sorted data, find Q1 and Q3. Then find the interquartile range and interpret it inco Find Ol and 03.

Solution

Arrangment Smallest to largest

117, 139, 170, 193, 213, 228, 238, 256, 270, 298

a) Total number of inomes is 10 so we will take average to 5th and 6th to find median

    = (213+228)/2 = 441/2 = 220.5

Median generally represents the value from which half are less and other half are greater then that value

B) The median of the top 10 grossing movies is the typical income for the top 10 grossing movies

b) 117, 139, 170, 193, 213, 228, 238, 256, 270, 298

InterQuartile Range = Third Quartile(Q3) - First Quartile(Q1)

Q1 is 170 and Q3 is 256

InterQuartile Range = 256 - 170 =86

D) The Interquartile range is the range of middle 50% o the sorted incomes of the top 10 grossing incomes.