1995 AMC 8 Problem 19

Attempt Problem 19 of the 1995 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1995 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

19.

The graph shows the distribution of the number of children in the families of the students in Ms. Jordan’s English class. The median number of children in the family for this distribution is
11
22
33
44
55
Answer: D
Concepts:median (data)data and graph interpretation
Small hint:
The median is the middle value when all the family sizes are listed in order
Big hint:
Count the total number of families, then find which position is the middle one
Solution:
The graph gives 22 families with 11 child, 11 with 2,2, 22 with 3,3, 22 with 4,4, and 66 with 5,5, for 2+1+2+2+6=132 + 1 + 2 + 2 + 6 = 13 families.
The median is the 77th value in order. Listing the family sizes, the 77th value is 4.4.
Thus, the correct answer is D .
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