Identify each of the following statements as True or False. Briefly explain each of your answers.

(a) For every symmetric random variable X, the median of X equals the average of the first and third quartiles of X.

(b) For every random variable X, the interquartile range of X is greater than the standard deviation of X.

(c) For every random variable X, the expected value of X lies between the first and third quartile of X.

(d) If the standard deviation of a random variable equals zero, then so does its interquartile range.

(e) If the median of a random variable equals its expected value, then the random variable is symmetric

Find the perimeter of the figure shown above. a. 18 yds c. 20 yds b. 10 yds d. 24 yds select the best answer from the choices provided

Which number line represents the solution set for the inequality - x 24?

Suppose that a customer is purchasing a car. he conducts an experiment in which he puts 10 gallons of gas in the car and drives it until it runs out of gas. he conducts this experiment 15 times on each car and records the number of miles driven. full data set car 1 238238 216216 205205 212212 240240 274274 297297 252252 260260 247247 257257 243243 296296 243243 290290 car 2 245245 204204 215215 209209 251251 165165 221221 295295 172172 287287 268268 305305 320320 260260 297297 describe each data set, that is determine the shape, center, and spread. sample mean for car 1 x overbar equalsx=216216 mi / 10 gal (type an integer or decimal rounded to one decimal place as needed.) sample mean for car 2 x overbar equalsx=209209 mi / 10 gal (type an integer or decimal rounded to one decimal place as needed.)