Question

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 40 43 46 49 52 55 58 61 64 67 70 number of holes completed under par player b 40 43 46 49 52 55 58 61 64 67 70 number of holes completed under par player c 40 43 46 49 52 55 58 61 64 67 70 number of holes completed under par player d 40 43 46 49 52 55 58 61 64 67 70 number of holes completed under par

Explanation:

Step1: Understand box - plot variability

Variability in box - plots can be measured by the inter - quartile range (IQR) and the overall range. The smaller the IQR and range, the less variable the data.

Step2: Analyze box - plots visually

Player a has a relatively narrow box (small IQR) and a short overall range. Player c also has a narrow box. Player b has a wider box and a larger overall range compared to a and c. Player d has the widest box and the largest overall range.

Answer:

Player a, Player c, Player b, Player d