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
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 the sum of visitors

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

Step2: Calculate the average for part a

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

Step3: Arrange the data in ascending order for part b

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

Step4: Calculate the percentage for part c

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

Step5: Calculate the sum of visitors in 2017 - 2019 for part d

$4.12 + 4.12+4.02 = 12.26$
The percentage is $\frac{12.26}{28.48}\times100\%\approx43.05\%$

Answer:

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