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Answer :
Final answer:
The student's question involves calculating the mean (which is 99,969 when rounded), the median (which is 99,970), and the mode (which is 99,985) of a set of earthquake data for California.
Explanation:
The student's question is about calculating the mean, median, and mode for a set of numbers representing earthquakes that have occurred in California over a five-year period. To find these three measures of central tendency, we begin by ordering the numbers:
- 99,950
- 99,955
- 99,970
- 99,985
- 99,985
To calculate the mean, add all the numbers together and divide by the number of values:
(99,950 + 99,955 + 99,970 + 99,985 + 99,985) ÷ 5 = 499,845 ÷ 5 = 99,969
Rounded to the nearest whole number, the mean is 99,969.
To find the median, which is the middle value in an ordered list, we look at the third number, since it's the middle value in our set of five numbers:
The median is 99,970.
To determine the mode, which is the most frequently occurring number in the set, we see that 99,985 occurs twice, while all other numbers occur once:
The mode is 99,985.
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