https://www.purplemath.com/modules/meanmode.htm
There are good explanations and examples here. Read carefully, and then post your answer so a math tutor can check your work
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
Plz help ASAP I'm very confused on this question
There are good explanations and examples here. Read carefully, and then post your answer so a math tutor can check your work
Mean:
9 + (-36) + (-23) + (-8) + (-17) + (-52) + (-27) + (-36) = -190
-190 Γ· 8 = -23.75
To find the median, arrange the numbers in ascending order and find the middle value.
Arranged set: -52, -36, -36, -27, -23, -17, -8, 9
Median: -23
To find the range, subtract the smallest value from the largest value.
Range:
9 - (-52) = 61
To find the mode, identify the number(s) that appear most frequently. In this case, there is no mode since no number is repeated more than once.
So, the correct answer is:
C: mean = -23.75, median = -23, mode = none, range = 61
1. Mean: The mean is the average of all the numbers in the data set. To find the mean, add up all the numbers and divide the sum by the total number of numbers.
For the given data set (-36, -52, -27, -36, -17, -23, -8, 9), the sum is -36 + -52 + -27 + -36 + -17 + -23 + -8 + 9 = -190.
There are 8 numbers in the set, so the mean is -190/8 = -23.75.
2. Median: The median is the middle value of a data set when it is arranged in ascending or descending order. To find the median, put the numbers in order from least to greatest and find the middle value.
Arranging the numbers in ascending order, we have: -52, -36, -36, -27, -23, -17, -8, 9.
The middle value is -23, so the median is -23.
3. Mode: The mode is the value that appears most frequently in a data set. To find the mode, determine which value occurs most frequently.
In the given data set, -36 appears twice, and all the other values only appear once. Therefore, the mode is -36.
4. Range: The range is the difference between the maximum and minimum values in a data set. To find the range, subtract the smallest number from the largest number.
The smallest number in the given data set is -52, and the largest number is 9. Therefore, the range is 9 - (-52) = 61.
Now that we have calculated the mean, median, mode, and range, let's match them with the given options:
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
Comparing the calculated values with the given options, we can see that option C: mean = 26, median = 25, mode = 36, range = 44 is the correct answer.