+ Kl J Homework 2: Centrai Tendency, Variability and 2 some Due on Septembe' 27, Weakly 2016 Note: Show the work. The point for each question is specied_ 1. Find the (1) mean, (2} median, (3} mode, (4} upper quartile, (Q lower quartile, (6) range, (7} interquartile, and (B) variance of the scores (X) whose frequency distribution (0 is given below: (24 pts, show your work} 2 A population has a u = 15 and a standard deviation of o = 3. (20 points) a. For this population, nd the z-scores for each of the following X-values' (1 0 points) X=17,X=20,X=21,X=13,X=12 b. For each of the z scores, draw a graph and incicate the p values associated with the z score (see an example blow) (20 points) J L 3. The CDC reports that in Z315 the weight of a baby at birth is normally distributed with mean 670 pounds and standard deviation of 1.10 pounds a. One baby is selected at random and its weight is so pounds. What isthe z-score for this observation? (4 points) + Q J 3. The CDC reports that in Z315 the weight of a baby at birth is normally distributed with mean 6170 pounds and standard deviation of 1.10 pounds a. One baby is selected at random and its weight is ac pounds. What isthe zscore for this observation? (4 points) b. Accorcing to the statistics reported by the CDC, there is 8.08% newborn babies considered low birth weight. What isthe weight limit for being considered a newborn with a low birth weight? (4 points) . If I chose one baby at random what is the chance that I would get a big fat, healthy baby weighing more than 88 pounds? (4 points)