Jeremy loves snowboarding. his favorite stunt is catching big air and jumping off the ramp while holding on to the snowboard. jeremy did this 20 times and recorded the heights (in meters) he achieved in each attempt. he wants to know whether his data set has negative, positive, or zero skew.

{18, 23, 15, 16, 15, 17, 22, 16, 19, 11, 24, 14, 12, 16, 20, 18, 14, 13, 21, 11}
jeremy's data set shows skew.

To be able to determine the type of skew exhibited by the distribution of the heights he achieved in each of his attempt we arrange the distribution in order and obtain the frequency of each data in the distribution. Height (meters): 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24 Frequency: 2, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 1, 1 Calculating the mean gives (11 x 2 + 12 + 13 + 14 x 2 + 15 x 2 + 16 x 3 + 17 + 18 x 2 + 19 + 20 + 21 + 22 + 23 + 24) / 20 = 335 / 20 = 16.75 Since there are more higher frequencies to the left of the mean we conclude that the distribution exhibits a positive skew.

Igotchu on that if you still need it

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