For the numbers 1, 2, 3, 4, and 5, the sum of the absolute deviations from 1 is
The answer is |1-1| + |2-1| + |3-1| + |4-1| + |5-1| = 0 + 1 + 2 + 3 + 4 = 10.
Move the black line in the simulation up until it equals 1. The sum of the absolute deviations (Total dev.) is shown in the bottom right.
10
0.0
For the numbers 1, 2, 3, 4, and 5, the sum of the absolute deviations from 3 is
The answer is |1-3| + |2-3| + |3-3| + |4-3| + |5-3| = 2 + 1 + 0 + 1 + 2 = 6.
Move the black line in the simulation up until it equals 3. The sum of the absolute deviations (Total dev.) is shown in the bottom right.
6
0.0
For the numbers 1, 2, 3, 4, and 5, find the number from which the sum of the absolute deviations is as small as possible.
3
0.0
Move the black line on the simulation and monitor the value of the Total Deviations shown below the right-hand portion of the simulation. Find the value that produces the minimum value.
The middle number (the median) is the number for which the sum of absolute deviations is the smallest. Here the middle number is 3.
For the numbers 1, 2.3, 2.4, 4, and 5, find the number from which the sum of the absolute deviations is as small as possible.
Set the data points to 1, 2.3, 2.4, 5, and 6. Then drag the line until the total deviations are at their lowest possible value.
2.4
0.0
The middle number (the median) is the number for which the sum of absolute deviations is the smallest. Here the middle number is 2.4.
For the numbers 1, 2, 4, 4, and 5, find the number from which the sum of the absolute deviations is as small as possible.
Set the data points are 1, 2, 4, 4, and 5. Then drag the line until the total deviations (Total dev.) are at their lowest possible value. The answer is the value with the sum of absolute deviations.
4
0.0
The middle number (the median, which is 4 here) is the number for which the sum of absolute deviations is the smallest.
For the numbers 1, 2, 4, 4, and 5, what is this smallest sum of absolute deviations?
Set the data points are 1, 2, 4, 4, and 5. Then drag the line until the total deviations (Total dev.) are at their lowest possible value. The answer is the sum of absolute deviations.
6
0.0
The middle number (the median) is the number for which the sum of absolute deviations is the smallest. Here the middle number is 4 and the sum of deviations is |1-4| + |2-4| + |4-4| + |4-4| + |5-4| = 3 + 2 + 0 + 0 + 1 = 6.
For the numbers 8, 11, 1, 2, and 6, find the number from which the sum of the absolute deviations is as small as possible.
The middle number (the median) is the number for which the sum of absolute deviations is the smallest. Here the middle number is 6.
6
0.0
The middle number (median) is always the number that minimizes the sum of the absolute deviations.
true
true
false
false
The median is always the value that minimizes the sum of the absolute deviations.