2. many people travel to the south rim of the grand canyon on vacation each year. the national parks service…

2. many people travel to the south rim of the grand canyon on vacation each year. the national parks service keeps records of the number of vehicles entering the park. according to their website, the following table lists the total vehicles that entered the park each month from april through september in a recent year.\nmonth # of vehicles\napril 127,355\nmay 140,226\njune 135,000\njuly 145,000\naugust 175,000\nseptember 128,850\nuse the table to answer the questions below.\n1. add a “relative frequency” column to the table and determine all of the entries in that column. round your entries to the nearest thousandth.\n2. add a “cumulative frequency” column to the table and determine all of the entries in that column.\n3. add a “relative cumulative frequency” column to the table and determine all of the entries in that column. round your entries to the nearest thousandth.

2. many people travel to the south rim of the grand canyon on vacation each year. the national parks service keeps records of the number of vehicles entering the park. according to their website, the following table lists the total vehicles that entered the park each month from april through september in a recent year.\nmonth # of vehicles\napril 127,355\nmay 140,226\njune 135,000\njuly 145,000\naugust 175,000\nseptember 128,850\nuse the table to answer the questions below.\n1. add a “relative frequency” column to the table and determine all of the entries in that column. round your entries to the nearest thousandth.\n2. add a “cumulative frequency” column to the table and determine all of the entries in that column.\n3. add a “relative cumulative frequency” column to the table and determine all of the entries in that column. round your entries to the nearest thousandth.

Answer

Explanation:

Step1: Calculate total number of vehicles

$127355 + 140226+135000 + 145000+175000+128850=851431$

Step2: Calculate relative frequencies

April

Relative frequency of April = $\frac{127355}{851431}\approx0.1496$

May

Relative frequency of May = $\frac{140226}{851431}\approx0.1647$

June

Relative frequency of June = $\frac{135000}{851431}\approx0.1586$

July

Relative frequency of July = $\frac{145000}{851431}\approx0.1703$

August

Relative frequency of August = $\frac{175000}{851431}\approx0.2055$

September

Relative frequency of September = $\frac{128850}{851431}\approx0.1513$

Step3: Calculate cumulative frequencies

April

Cumulative frequency of April = $127355$

May

Cumulative frequency of May = $127355 + 140226=267581$

June

Cumulative frequency of June = $267581+135000 = 402581$

July

Cumulative frequency of July = $402581+145000=547581$

August

Cumulative frequency of August = $547581+175000 = 722581$

September

Cumulative frequency of September = $722581+128850=851431$

Step4: Calculate relative cumulative frequencies

April

Relative cumulative frequency of April = $\frac{127355}{851431}\approx0.1496$

May

Relative cumulative frequency of May = $\frac{267581}{851431}\approx0.3143$

June

Relative cumulative frequency of June = $\frac{402581}{851431}\approx0.4728$

July

Relative cumulative frequency of July = $\frac{547581}{851431}\approx0.6431$

August

Relative cumulative frequency of August = $\frac{722581}{851431}\approx0.8487$

September

Relative cumulative frequency of September = $\frac{851431}{851431}=1.000$

Answer:

Month # of Vehicles Relative Frequency Cumulative Frequency Relative Cumulative Frequency
April 127355 0.150 127355 0.150
May 140226 0.165 267581 0.314
June 135000 0.159 402581 0.473
July 145000 0.170 547581 0.643
August 175000 0.206 722581 0.849
September 128850 0.151 851431 1.000