Question

1. the following table represents the number of visitors (in millions) who visited yosemite national park. round to the nearest thousandth (3 decimal places).

year	number of visitors (in millions)	relative frequency	cumulative frequency	relative cumulative frequency
2016	4.26
2017	4.12
2018	4.12
2019	4.02
2020	3.81
2021	4.86
2022	3.29

a. what was the average yearly visitors over this 7 - year period?
b. what was the median number of visitors?
c. what percent of total number of visitors attended in 2021?
d. approximately what percent of visitors were at yosemite in 2017, 2018 and 2019?

Explanation:

Step1: Calculate total number of visitors

$4.26 + 4.12+4.12 + 4.02+3.81+4.86+3.29=28.48$

Step2: Calculate average number of visitors (a)

The average is the total divided by the number of years. There are 7 years.
$\frac{28.48}{7}\approx4.069$

Step3: Find the median (b)

First, order the data: $3.29,3.81,4.02,4.12,4.12,4.26,4.86$. Since there are 7 (an odd - numbered) data points, the median is the 4th value, which is $4.12$.

Step4: Calculate percentage of visitors in 2021 (c)

The number of visitors in 2021 is $4.86$. The percentage is $\frac{4.86}{28.48}\times100\%\approx17.07\%$

Step5: Calculate percentage of visitors in 2017 - 2019 (d)

The sum of visitors in 2017, 2018 and 2019 is $4.12 + 4.12+4.02 = 12.26$. The percentage is $\frac{12.26}{28.48}\times100\%\approx43.05\%$

Answer:

a. $4.069$
b. $4.12$
c. $17.07\%$
d. $43.05\%$