335,194 views
26 votes
26 votes
Find the mean, median, mode, mid range, and then answer the given question.

Find the mean, median, mode, mid range, and then answer the given question.-example-1
User Animesh
by
3.0k points

1 Answer

10 votes
10 votes

First, let's arrange the given data in order from lowest to highest.


\lbrace2,4,5,6,7,7,8,8,8,8,9,9,12,15\rbrace

Let's now calculate the mean. Add all the data and divide the answer by the total number of data which is 14.


2+4+5+6+7+7+8+8+8+8+9+9+12+15=108
108/14=7.71428\approx8

The mean or the average number of Atlantic Hurricanes that occurred each year starting from the year 2000 is approximately 8 hurricanes per year.

To find the median, since there are 14 values, the median would be the middle value and that is between the 7th and 8th data. Based on the arranged data, the 7th data is 8 and the 8th data is also 8. Hence, the median value is 8.

On the other hand, the mode is the data with the highest frequency. Based on the data that we have, 8 is the data that has the highest frequency because there are 4 8's in the data. Therefore, our mode is also 8.

Lastly, the midrange is 1/2 the difference between the maximum data and the minimum data.


Midrange=(max-min)/(2)=(15-2)/(2)=(13)/(2)=6.5\approx7

The mid-range of the given data is approximately 7.

Since the data is about the occurrence of Atlantic Hurricanes each year starting from 2000, the important feature of the data that is not revealed by any of the measures of the center is the pattern of the number of occurrences of the hurricanes over time. It is important to know the pattern so that emergency measures are prepared when hurricanes occur.

User Oaziz
by
3.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.