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3 years ago

Four students were discussing how to find the unit rate for a proportional relationship. Which method is valid?

Mathematics

1 answer:

vovangra [49]3 years ago

3 0

Answer:

The method that is valid in finding the unit rate for a proportional relationship is by:

Look at the graph of the relationship. Count the number of units up and the number of units to the right one must move to arrive at the next point on the graph. Write these two numbers as a fraction. The unit rate is the slope, which is the rise over run.

Step-by-step explanation:

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Part (a)

Mean = $\frac{15+10+25+19+10+17}{6}=16$

Range = 25 - 10 = 15

Median, $Q_{2}$ = 16 (Refer to the first picture)

Lower Quartile, $Q_{1}$ = 10

Upper Quartile, $Q_{3}$ = 22

Interquartile Range, IQR = $Q_{3}- Q_{1}=22-10=12$

Part (b)

The box plot is shown in the second picture below

Part (c)

Mean = 16

Subtracting 16 from each data value, find sum of the square of each answer and divide by 6

$\frac{ (15-16)^{2} + (10-16)^{2}+ (25-16)^{2}+ (19-16)^{2}+ (10-16)^{2}+ (17-16)^{2} }{6}$
$\frac{1+36+81+9+36+1}{6}= \frac{164}{6} =27.333...$

Standard deviation = $\sqrt{27.333...}=5.23$ (rounded to 2 dp)

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The equation in slope-intercept is: y= 1/2x + 6.

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