The value that minimizes the sum of absolute deviations is the:
This is a definition of the median.
true
false
mean
true
median
false
mode
The point on which a distribution would balance is the:
This is a definition of the mean.
true
true
mean
false
median
false
mode
The value that minimizes the sum of the squared deviations is the:
This is a definition of the mean.
true
true
mean
false
median
false
mode
When are the mean and the median the same?
false
false
When the distribution is very large
true
When the distribution is symmetric
false
When the distribution is skewed
false
When the number that minimizes the sum of the squared deviations is the same as the balancing point
false
Never
The mean and the median are only the same when a distribution is symmetric. The mean and median are different when the distribution is skewed.
For the numbers 17, 9, 20, 15, and 11, the number which minimizes the absolute deviations is:
15
0.0
The median minimizes the absolute deviations. To find the median, order the numbers from smallest to largest, and then find the middle number.
For the numbers 20, 32, 18, 43, and 27, the number which minimizes the squared deviations is:
28
0.0
The mean minimizes the squared deviations. To find the mean, find the sum of the values (140) and divide by number of values in your data set (5). 140/5 = 28
You have a distribution with a mean of 6.5, a median of 7, and a mode of 4. At what point does this distribution balance?
6.5
0.0
The mean (in this case, 6.5) is the point at which a distribution balances.