Question

Yasmine works as a server in a restaurant and earns different amounts in tips each night. Her median earning in tips over the course of 8 nights of work is $39.50. Her minimum tip earnings were $10.45, and her maximum tip earnings were $96.78. What is a possible dataset of tip earnings.

A. {$10.45, $20.50, $35.80, $38.10, $39.50, $42.50, $45.90, $79.60, $96.78}

B. {$10.45, $20.50, $35.80, $38.10, $40.90, $45.90, $105.96, $96.78}

C. {$10.45, $39.50, $39.50, $78.10, $80.90, $95.90, $109.40, $110.80}

D. {$10.45, $20.50, $35.80, $38.10, $40.90, $45.90, $79.60, $96.78}

Answer 1

D

Explanation: For 8 numbers the median is the average of the 4th and 5th values. In D the 4th and 5th are 38.10 and 40.90, (38.10+40.90)/2 = 39.50, the minimum is 10.45 and the maximum is 96.78. Options A has 9 numbers; B and C do not have the required maximum (and C also gives the wrong median).