mean mode median

6 An orange grove farmer expects to harvest all oranges at once. To help the farmer predict the total mass of oranges, he picks the oranges from one tree and weighs each one. The masses, in g to the nearest 5g, recorded are: 175 180 190 195 175 175 180 165 185 175 175 175 175 175 175 180 175 175 175 185 165 180 175 175 195 190 185 190 175 165 175 170 165 195 190 185 180 190 175 170 165 155 185 180 185 175 175 190 195 175 175 185 170 185 (a) Calculate the mean, median and mode for these oranges. (b) Which of the statistics do you think should be used to estimate the total mass of oranges in the grove? (c) If there are 250 trees in the grove, make an estimate for the total mass of oranges harvested. (d) Give a range within which you think the total mass will lie. How did you calculate this range? (e) Four random samples of 5 oranges were taken and the weights recorded: Set 1: 175 155 175 185 180 Set 2: 180 175 165 190 1'70 Set 3: 170 175 190 195 175 Set 4: 170 195 165 175 195 (i) Find the mean, median and mode for each set. {ii} Which of these statistics stayed closest to the value of the statistics found in part (a) for the population of oranges on this tree? (iiil Which of these statistics varied the most