5. Suppose you are planning to purchase a new car and have narrowed it down to two models. You want to choose the one that gets the best gas mileage. You decide to conduct an experiment. For each car, you put 10 gallons of gas in the car and drive it until it runs out. You repeat this experiment 15 times on each car and record the number of miles driven. The results are below. Answer the following doing all calculations by hand: Car 1 Car 2 228 277 223 164 178 326 220 215 220 259 233 217 233 321 271 263 219 160 223 257 217 239 214 230 189 183 236 217 248 230(a) Compute the three measures of center for each car. (mean, median, mode) (b) Describe the shape of the data using the measures of center. For each car, which measure of center is most appropriate? Explain why. (c) Compute the three measure of spread for each car (d) Which car would you buy and why