Question

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. use the four box - plots in order of increasing 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
4 from unit 1, lesson 10
select all the distribution shapes for which the median could be much less than the mean.
a symmetric
b bell - shaped
c skewed left
d skewed right
e bimodal

Explanation:

Step1: Recall property of mean and median

In a right - skewed distribution, the tail on the right side is long. The few large values in the right - tail pull the mean in the direction of the tail, while the median is less affected by extreme values.

Step2: Analyze each option

• For symmetric and bell - shaped distributions, mean = median.
• For left - skewed distributions, mean < median.
• For right - skewed distributions, mean > median.
• For bimodal distributions, the relationship between mean and median is not fixed in a way that median is much less than the mean.

Answer:

D. skewed right