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
1. mean = - 25; median = -26 mode = - 44 range = 36
2. mean = -25; median = - 36; mode = - 36; range = 44
3. mean = - 26; median = - 25; mode = - 36; range = 44
4.mean = -26; median = -44; mode = -25; range = 36
The correct answer is:
3. mean = - 26; median = - 25; mode = - 36; range = 44
explain why
To find the mean, we add up all the numbers and then divide by the total number of numbers. In this case, adding up all the altitudes gives us -198, and since there are 8 lakes in the data set, the mean altitude is -198/8 = -26.
To find the median, we need to arrange the numbers in order from smallest to largest. Doing so, we get: -52, -36, -36, -27, -23, -17, -9, -8. Since there are an even number of lakes, we take the average of the two middle altitudes, which are -27 and -23. Therefore, the median altitude is (-27 - 23)/2 = -25.
To find the mode, we look at which altitude appears the most frequently. In this case, both -36 and -23 appear twice, but no other altitude appears more than once. So the mode is -36 (since it appears first in the data set).
Finally, to find the range, we subtract the smallest altitude from the largest altitude. The smallest altitude is -52 and the largest altitude is -8, so the range is -8 - (-52) = 44.
Therefore, the answer is option 3: mean = -26; median = -25; mode = -36; range = 44.
The correct answer is:
2. mean = -25; median = -36; mode = -36; range = 44