3 four amateur miniature golfers attempt to finish 100 holes under par several times. after each round of…

3 four amateur miniature golfers attempt to finish 100 holes under par several times. after each round of 100 holes, the number of holes they successfully complete under par is recorded. due to the presence of extreme values, box plots were determined to be the best representation for the data. list the four box plots in order of variability from least to greatest. player a player b 40 43 46 49 52 55 58 61 64 67 70 number of holes completed under par 40 43 46 49 52 55 58 61 64 67 70 number of holes completed under par player c player d 40 43 46 49 52 55 58 61 64 67 70 number of holes completed under par 40 43 46 49 52 55 58 61 64 67 70 number of holes completed under par

3 four amateur miniature golfers attempt to finish 100 holes under par several times. after each round of 100 holes, the number of holes they successfully complete under par is recorded. due to the presence of extreme values, box plots were determined to be the best representation for the data. list the four box plots in order of variability from least to greatest. player a player b 40 43 46 49 52 55 58 61 64 67 70 number of holes completed under par 40 43 46 49 52 55 58 61 64 67 70 number of holes completed under par player c player d 40 43 46 49 52 55 58 61 64 67 70 number of holes completed under par 40 43 46 49 52 55 58 61 64 67 70 number of holes completed under par

Answer

Explanation:

Step1: Recall box - plot variability measure

Variability in a box - plot can be measured by the inter - quartile range (IQR) and the range. The smaller the IQR and range, the less the variability.

Step2: Observe the box - plots

For player a, the box is relatively narrow and the whiskers are short. For player b, the box is wider than a's and whiskers are longer. For player c, the box is narrow but whiskers are longer than a's. For player d, the box is the widest and whiskers are long.

Step3: Order by variability

Player a has the least variability as its box and whiskers are relatively short. Player c has more variability than a but less than b. Player b has more variability than c. Player d has the greatest variability.

Answer:

Player a, Player c, Player b, Player d