Match each term with the appropriate description . a. mean
b. median
c. mode
d. standard deviation
e. range
f. variance
1. this measure of center always has exactly 50% of the observations on either side
2. this measure of center represents the most common observation, or class of observations
3. measure of spread around the mean, but its units are not the same as those of the data points
4. distance from data points to this measure of center always add up to zero.
5. this measure of spread is affected the most by outliers.
6. is smaller of distributions where the points are clustered around the middle.

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Step-by-step explanation:

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

x/3-10=8

x/3=18

x=48