Given the data set for 11 seasons of play14, 22, 19, 21, 30, 32, 25, 15, 16, 27, 28 Quartiles (usually 3 in number; Q1. Q2 and Q3) divide a rank-ordered data set into four equal parts14, 22, 19, 21, 30, 32, 25, 15, 16, 27, 28
First order the data set by rank12, 14, 16, 19, 21, 22, 25, 27, 28, 30, 32 Q1 is the first quartileQ2 is the second quartileQ3 is the third quartileInterquartile range = Q3 – Q1 The median value in the set, Q2 = 22 First half of the rank-ordered data set is therefore 12, 14, 16, 19, 21While the Second half of the rank-ordered data set is 25, 27, 28, 30, 32 The median value in the first half of the set, Q1 = 16The median value in the second half of the set, Q3 = 28 Interquartile range = Q3 – Q1Therefore, interquartile range = 28 – 16= 12 The interquartile range of the data is 12
We have to find the characteristic which states that the graph of a function must be linear.
The four characteristics given in the question are;
A. It passes through the origin
B. It crosses the x-axis more than once.
C. It crosses the y-axis exactly once
D. It has a constant slope.
If we consider the first characteristic that it passes through the origin
, then the graph of a function will not be linear because it will contain two variables.
If we consider the second characteristic that it crosses the x-axis more than once
, then the graph of a function will not be linear because it will then be a parabola or a curve function and will not have a linear function.
If we consider the third characteristic that it crosses the y-axis exactly once
, then the graph of a function will not be linear because it may cross the x-axis twice.
If we consider the fourth characteristic that it has a constant slope
, then the graph of a function will be linear because it will not change it's form and will have a constant slope linear function.