a. Organize costs as an ordered array. b. Construct the frequency

iohanetc

iohanetc

Answered question

2021-09-24

a. Organize costs as an ordered array.
b. Construct the frequency distribution and percentage distribution for the given data.
c. Explain that the basketball game is concentrated around which class group.

Answer & Explanation

pivonie8

pivonie8

Skilled2021-09-25Added 91 answers

a) Data about the total cost (in dollars) of the attending basketball game at each of the 30 National Basketball Association arenas is given.
The given data is already ordered in the ascending order. Thus, the costs, as an ordered array, are:
222.67,262.50,262.67,276.40,278.00,290.83,292.87,298.00,318.67,324.33,332.93,345.09,346.70,380.67,398.55,418.14,422.45,423.50,429.00,441.00,492.71,505.77,539.68,571.50,585.20,696.33,718.50,726.40,789.20,878.20.
b) The total cost ranges from about $222 to about $879. The number of classes can be taken between 5 and 10. So, consider the number of classes to be 7.
Then, the interval width is calculated as:
Interval width=Highest value-Lowest valuenumber of classes
=8792227
=93.9
An amount that simplifies the reading and interpretation of the frequency distribution is 100. So, 100 is chosen as the interval width, which creates 7 classes from $200 to $900.
Thus, the table of the frequency and percentage distributions is:
Cost$Frequency(f)Percentage=f30×10%200less than 3008830×100%=26.7%300less than 4007730×100%=23.3%400less than 5006630×100%=20%500less than 6004430×100%=13.3%600less than 7001130×100%=3.3%700less than 8003330×100%=10.3%800less than 9001130×100%=3.3%Total30100%
c) The frequency and percentage distribution of the total costs to attend the National Basketball Association is obtained in part b.
About 70% of the costs of the basketball arenas range between $200 and $500. Among them, 27% are concentrated between $200 and $300. About 30% of the costs of the basketball arenas range between $500 and $900. Among them, 13% are concentrated between $500 and $600, and 10% are concentrated between $700 and $800.

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