Question

unit 1 lesson 11 cumulative practice problems

1. four amateur miniature golfers attempt to finish 100 holes under par several times. each round of 100, 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
least variability most variability
player__ player player player__

Explanation:

Step1: Understand variability in box - plots

Variability in box - plots can be measured by the inter - quartile range (IQR) (distance between Q1 and Q3) and the range (distance between the minimum and maximum values). A smaller range and IQR indicate less variability.

Step2: Examine player a

For player a, the box is relatively narrow and the whiskers are of moderate length.

Step3: Examine player b

Player b has a wider box and longer whiskers compared to player a, indicating more variability.

Step4: Examine player c

Player c has a very narrow box and short whiskers, suggesting the least variability among the four.

Step5: Examine player d

Player d has the widest box and the longest whiskers, showing the most variability.

Answer:

player c, player a, player b, player d