What are the mean, median, mode, and range of the data set given the altitude of lakes in feet:
–9, –36, –23, –8, –17, –52, –27, and –36?
A. mean = –25; median = –26; mode = –44; range = 36
B. mean = –25; median = –36; mode = –36; range = 44 ***
C. mean = –26; median = –25; mode = –36; range = 44
D. mean = –26; median = –44; mode = –25; range = 36
I need help because when I searched the question, I could not tell if the answer was trust able.
answer is C
To determine the mean, median, mode, and range of a given data set, follow these steps:
1. Mean: The mean is calculated by finding the sum of all the values in the data set and dividing it by the total number of values. In this case, the data set is:
–9, –36, –23, –8, –17, –52, –27, and –36.
To find the mean, add up all these values and divide by 8 (the total number of values).
Mean = (–9 – 36 – 23 – 8 – 17 – 52 – 27 – 36) / 8
2. Median: The median is the middle value when the data set is arranged in order. If the data set has an even number of values, the median is the average of the two middle values. First, rearrange the data set in ascending or descending order: –52, –36, –36, –27, –23, –17, –9, –8.
Now, find the middle value(s).
Median = (–27 + –23) / 2
3. Mode: The mode is the value(s) that appear most frequently in the data set. If no value repeats, there is no mode. Looking at the data set, we can see that –36 appears twice, making it the mode.
Mode = –36
4. Range: The range is the difference between the highest and lowest values in the data set. Find the highest and lowest values and calculate the difference.
Range = Highest value – Lowest value
Now that we have these steps, let's calculate the mean, median, mode, and range using the provided data set.
Mean = (-9 - 36 - 23 - 8 - 17 - 52 - 27 - 36) / 8 = -208 / 8 = -26
Median = (-27 + -23) / 2 = -50 / 2 = -25
Mode = -36
Range = Highest value - Lowest value = -8 - (-52) = 44
Therefore, based on the calculations above, the correct choice is B. mean = –25; median = –36; mode = –36; range = 44.