Question

Create a frequency distribution, percent frequency distribution, and histogram for inflation-adjusted U.S. box office receipts. Use bin sizes of $100 million. Interpret the results. Do any data points appear to be outliers in this distribution?U.S. Box Office Receipts (Inflation Adjusted Millions $)$1,650$1,426$1,145$1,132$1,096$1,053$1,029$973$871$854$844$825$809$804$772$741$722$720$715$686$683$676$671$651$623$623$618$612$589$570$562$557$553$552$552$549$549$548$529$528$527$518$515$515$513$513$507$496$496$494

Answer 1

Answer:

The frequency distribution and percent frequency distribution are given in the explanation below. The histogram is attached as an image.

Step-by-step explanation:

U.S. Box Office Receipts (Inflation Adjusted Millions $)

$1,650 $1,426 $1,145 $1,132 $1,096 $1,053 $1,029 $973 $871 $854 $844 $825 $809 $804 $772 $741 $722 $720 $715 $686 $683 $676 $671 $651 $623 $623 $618 $612 $589 $570 $562 $557 $553 $552 $552 $549 $549 $548 $529 $528 $527 $518 $515 $515 $513 $513 $507 $496 $496 $494

Using bin sizes of $100 Million, we can create the frequency distribution:

Inflation Adjusted Million $             Frequency

$400≤x<$500                                          3

$500≤x<$600                                         19

$600≤x<$700                                           9

$700≤x<$800                                           5

$800≤x<$900                                           6

$900≤x<$1000                                          1

$1000≤x<$1100                                          3

$1100≤x<$1200                                          2

$1200≤x<$1300                                         0

$1300≤x<$1400                                         0

$1400≤x<$1500                                          1

$1500≤x<$1600                                         0

$1600≤x<$1700                                          1

To create a percent frequency distribution, we will use the following formula for each class:

(frequency/total frequency) * 100

Total frequency = 50.

Inflation Adjusted Million $             Percentage Frequency(%)

$400≤x<$500                                          3/50 * 100 = 6

$500≤x<$600                                         19/50 * 100 = 38

$600≤x<$700                                           9/50 * 100 = 18

$700≤x<$800                                           5/50 * 100 = 10

$800≤x<$900                                           6/50 * 100 = 12

$900≤x<$1000                                          1/50 * 100 = 2

$1000≤x<$1100                                          3/50 * 100 = 6

$1100≤x<$1200                                          2/50 * 100 = 4

$1200≤x<$1300                                         0/50 * 100 = 0

$1300≤x<$1400                                         0/50 * 100 = 0

$1400≤x<$1500                                          1/50 * 100 = 2

$1500≤x<$1600                                         0/50 * 100 = 0

$1600≤x<$1700                                          1/50 * 100 = 2

We can create a histogram using the percent frequency distribution values. Plot the percent frequencies on the y-axis and the inflation adjusted on the x-axis. I am attaching the histogram as an image here.