Question a)
To find the quartiles, first, we need to put the data in ascending order.
The value of Q₂ [Median] is on the 7th value, which is 73
The value of Q₁, the lower quartile, is the 3.5th value, which is 69
The value of Q₃, the upper quartile, is the 10.5th value, which is 76.5
Interquartile range = Q₃ - Q₁ = 76.5 - 69 = 7.5
Question b)
The 35th percentile is located at 0.35 × 13 = 4.55 ≈ 5th value
The 5th value is 71 ⇒ Need to read this when data is in ascending order
Question c)
Percentile rank of 71 is located at 0.71 × 13 = 9.23 ≈ 9th value
The 9th value is 75 ⇒ Need to read this when data is in ascending order
Answer:
(a) This function represents a direct variation because it passes through the origin and has a constant rate of change of $5 per hour.
Step-by-step explanation:
The equation of direct variation is ...
y = kx
for some constant k. Here, we have x in hours and y in dollars. We can see if k is constant for the values given in the table.
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<h3>constant of variation</h3>
Solving the direct variation formula for k, we have ...
k = y/x
Using the table values, we can see if this is constant:
k = dollars/hour = 10/2 = 20/4 = 30/6 = 40/8 = 5
The "rate of change" is constant at $5 per hour.
The function represents direct variation because it passes through the origin and has a constant rate of change of $5 per hour.
Answer:
A line that intersects a system of lines.