The data sets below show the price that a homeowner paid, per term, for natural gas during each of the first ten months of 2011 and 2012. Use the data for 1–4.

2011: $1.59, $1.72, $1.71, $1.86, $2.32, $2.54, $2.45, $2.80, $2.38, $2.25

2012: $1.57, $1.61, $1.96, $1.71, $1.98, $2.17, $2.51, $2.44, $2.52, $2.10

1. Find the mean, median, range, and interquartile range for 2011

2. Find the mean, median, range, and interquartile range for 2012.

3. Find the standard deviation for each year. Round to the nearest hundredth.

4. Use your statistics to compare the overall trend in prices for

the two years.

5. To earn an exemption from the final exam, Aaron needs his mean test score to be 92 or greater. If Aaron scored 90, 96, 87, and 90 on the first four tests and he has one test still to take, what is the lowest he can score and still earn an exemption?

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Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12