The data set shows how many points Mark scored in each basketball game he played this season.
1 answer:
Answer:
Kindly check attached picture
Step-by-step explanation:
Given the data :
1,4,4,5,5,7,8,8,10,11,11,11,14,15,16
The median (Q2) :
0.5(n + 1)th value
n = number of observations = 15
0.5(15 + 1)th value = 0.5(16) = 8th observation = 8
Q3:
0.75(n+1)th value = 0.75(16) = 12th observation = 11
Q1 :
0.25(n+1)th value = 0.25(16) = 4th observation = 5
Interquartile range (IQR) = (Q3 - Q1) :
11 - 5 = 6
MINIMUM VALUE IN DATASET = 1
MAXIMUM VALUE IN DATASET = 16
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The solution to a system of (linear) equations is the point where the graphs intersect. Consider two parallel lines. By definition, two parallel lines never intersect each other, but all pairs of non-parallel lines will eventually intersect. That means they will also have a solution.
Let's consider what makes a line parallel to another line. It basically looks identical, having the same steepness (slope), but the graph is just shifted over. That is, a parallel line would have the same slope and a different y-intercept. For our equation
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That describes the form of a parallel line, which we do not want. Any other line, however, will give a solution to our system, so we merely want a line where the slope does not equal 2.
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Let's consider what makes a line parallel to another line. It basically looks identical, having the same steepness (slope), but the graph is just shifted over. That is, a parallel line would have the same slope and a different y-intercept. For our equation
That describes the form of a parallel line, which we do not want. Any other line, however, will give a solution to our system, so we merely want a line where the slope does not equal 2.
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