What are the mean, median, mode and range of the data set given the altitude of lakes in feet: –12, –9, –14, –39, –49, –49, –18, and –43?
I need help, how do you find the mean median mode and range?
I'll be glad to check your answers.
http://www.ducksters.com/kidsmath/mean_median_mode_range.php
**ANSWER: A mean = –28.5, median = –29.1, mode = –49, range = 40
First put them in order:
- 49, - 49 , - 43 , -39 , -18, -14, -12, -9
Add the two middle numbers -39 and -18, it equals -57
Divide - 57 and 2, it equals - 28.5 <--- MEAN
Second add all the numbers together, it equals - 233, then divide by 8, which equals
- 29.1 <---MEDIAN
MODE is the number that happens most, which is -49 <--- MODE
The range is -49 - ( -9 ) = - 40 <-----RANGE
XanderMax is correct
To find the mean, median, mode, and range of the given data set, we can follow these steps:
Step 1: Sort the data set in ascending order:
–49, –49, –43, –39, –18, –14, –12, –9
Step 2: Calculate the mean:
The mean (average) is found by adding up all the values in the data set and dividing by the number of values. In this case, there are 8 values.
Mean = (–49 + –49 + –43 + –39 + –18 + –14 + –12 + –9) / 8
Mean = –233 / 8
Mean = –29.125
So, the mean of the data set is –29.125.
Step 3: Find the median:
The median is the middle value of a data set when arranged in ascending order. If the data set has an odd number of values, the median is the middle number. If the data set has an even number of values, the median is the average of the two middle numbers.
Since we have 8 values, the median is the average of the two middle numbers: –39 and –18.
Median = (–39 + –18) / 2
Median = –57 / 2
Median = –28.5
So, the median of the data set is –28.5.
Step 4: Determine the mode:
The mode is the value(s) that occur(s) most frequently in the data set. In this case, –49 is the value that occurs most frequently (twice). Therefore, –49 is the mode of the data set.
Step 5: Calculate the range:
The range is the difference between the maximum and minimum values in the data set.
Range = maximum value - minimum value
Range = –9 - (–49)
Range = –9 + 49
Range = 40
So, the range of the data set is 40.
To summarize:
Mean = –29.125
Median = –28.5
Mode = –49
Range = 40