Summarize the center of the data set below by determining the median.
96, 98, 56, 88
The median of this data set is 92.
What is the mean average deviation (MAD) of the data set shown below? Round your answer to the nearest tenth when necessary.
45, 49, 43, 40, 33
To find the mean absolute deviation (MAD), you first need to find the mean of the data set:
Mean = (45+49+43+40+33)/5 = 42
Next, find the absolute deviation of each data point from the mean, by subtracting the mean from each data point and taking the absolute value:
|45 - 42| = 3
|49 - 42| = 7
|43 - 42| = 1
|40 - 42| = 2
|33 - 42| = 9
Then, find the average of the absolute deviations:
(3+7+1+2+9)/5 = 4.4
So the mean absolute deviation (MAD) of the data set is approximately 4.4 (rounded to the nearest tenth).
Summarize the center of the data set below by determining the median.
20, 18, 26, 24, 32
To determine the median of the data set [96, 98, 56, 88], we first need to arrange the numbers in ascending order:
56, 88, 96, 98
Since the data set contains an even number of values, the median is the average of the middle two numbers. In this case, the middle two numbers are 88 and 96. Therefore, the median of the data set is (88 + 96) / 2 = 92.
To determine the median of a data set, first arrange the numbers in ascending or descending order. In this case, the given data set is: 56, 88, 96, 98.
To find the median, you need to identify the middle value. Since there is an even number of values (4 values), there is no exact middle value. In this case, you'll need to find the average of the two middle values.
So, in this case, the two middle values are 88 and 96. To find the average, you add these two values and divide by 2: (88 + 96) / 2 = 92.
Therefore, the median of the given data set is 92.