In order to obtain a standard deviation of 0, all members of the data set should be equal.
This means that each of the 100 members in the data set is equal to 50 (the mean value).
Answer:
The smallest observation in the set is 50.
Answer: 
.
Step-by-step explanation:
As we know ,
The slope of a line that passes through 
and 
is given by :
The slope of a line that passes through (1 , 7K), and (-3,5K) =
Hence, the slope of the given line is .
Answer:
y = -0.6x +3
Step-by-step explanation:
equation of the line through point (3, 1.2) and y-interecept of 3
y= mx+b
m is the slope and b is thhe y-intercept
y = mx + 3
between points (3, 1.2) and (0,3) the slope is
m= (y2-y1)/ (x2-x1) = (1.2-3) / (3-0) = -1.8/3 = -0.6
y = -0.6x +3
To check for continuity at the edges of each piece, you need to consider the limit as 
approaches the edges. For example,
has two pieces, 
and 
, both of which are continuous by themselves on the provided intervals. In order for 
to be continuous everywhere, we need to have
By definition of , we have 
, and the limits are
The limits match, so is continuous.
For the others: Each of the individual pieces of 
are continuous functions on their domains, so you just need to check the value of each piece at the edge of each subinterval.
