Question

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Answer 1

Answer:

Data set A

• 1, 2, 2, 2, 3, 4, 5
• Mean = (1 + 2*3 + 3 + 4 + 5)/7 = 2.71
• Mode = 2
• Median = 2
• Mean > median ⇒ Skewed right

Data set B

• 1, 2, 3, 4, 4, 4, 5, 6, 7
• Mean = (1 + 2 + 3 + 4*3 + 5 + 6 + 7)/9 = 4
• Mode = 4
• Median = 4
• Mean = median ⇒ Symmetrical

Data set C

• 1, 1, 2, 2, 3, 3, 4, 4
• Mean = (1*2 + 2*2 + 3*2 + 4*2)/8 = 2.5
• Mode = none
• Median = (2+3)/2 = 2.5
• Mean = median ⇒ Uniform

Data set D

• 1, 2, 3, 4, 5, 5, 5, 6
• Mean = (1 + 2 + 3 + 4 + 5*3 + 6)/8 = 3.875
• Mode = 5
• Median = (4+5)/2 = 4.5
• Mean < Median ⇒ Skewed left