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?
A.) mean=-28.5, median = -29.1, mode = -49, range = 40
B.) mean=-29.1, median=-49, mode=-28.5, range = 41
C.) mean = -49, median = -29.1, mode = -28.5, range = 41
D.) mean = -29.1, median = -28.5, mode = -49, range = 40
mean is -29.125 so either B or D
what is the range ?
-49 to -9
which is 40
so I would pick D
the median is NOT -49 so B fails anyway
To find the mean, median, mode, and range of the given data set, we will follow these steps:
Step 1: Arrange the data set in ascending order:
-49, -49, -43, -39, -18, -14, -12, -9
Step 2: Calculate the mean:
Mean = (sum of all values) / (number of values)
Mean = (-49 + -49 + -43 + -39 + -18 + -14 + -12 + -9) / 8
Mean = -243 / 8
Mean = -30.375
Step 3: Calculate the median:
The median is the middle value in the ordered data set. Since we have 8 values, the middle two values are -39 and -18. Therefore, the median = (-39 + -18) / 2
Median = -57 / 2
Median = -28.5
Step 4: Calculate the mode:
The mode is the value that appears most frequently in the data set. In this case, the value -49 appears twice, which is more than any other value. Therefore, the mode = -49.
Step 5: Calculate the range:
The range is the difference between the largest and smallest values in the data set. In this case, the largest value is -9 and the smallest value is -49. Therefore, the range = -9 - (-49) = 40.
So, the correct answer is D.) mean = -29.1, median = -28.5, mode = -49, range = 40.
To find the mean, median, mode, and range of a data set, follow these steps:
Mean:
1. Add up all the numbers in the data set.
-12 + (-9) + (-14) + (-39) + (-49) + (-49) + (-18) + (-43) = -233
2. Divide the sum by the total number of values.
-233 / 8 = -29.125
The mean is -29.125.
Median:
1. Arrange the numbers in ascending order.
-49, -49, -43, -39, -18, -14, -12, -9
2. Find the middle number or the average of the two middle numbers if there is an even number of values.
The middle numbers are -39 and -18, so the median is (-39 + -18) / 2 = -29.1.
Mode:
The mode is the number(s) that appear most frequently in the data set.
In this case, -49 appears twice, while all other numbers appear only once.
The mode is -49.
Range:
1. Find the smallest and largest numbers in the data set.
Smallest: -49
Largest: -9
2. Subtract the smallest number from the largest number.
-9 - (-49) = 40
The range is 40.
Comparing the calculated values with the provided options, we can see that the correct answer is:
D.) mean = -29.1, median = -28.5, mode = -49, range = 40