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20 Jul 2024, 13:52
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The pie chart above shows the distribution of 500 households based on the number of TVs in each household. What is the median number of TVs in these households?
A. 1
B. 1.5
C. 1.8
D. 2.5
E. 3
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GMAT-Club-Forum-8unv8cvz.png [ 96.97 KiB | Viewed 4327 times ]
Attachment:
GMAT-Club-Forum-m4qyffri.png [ 94.91 KiB | Viewed 3248 times ]
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20 Jul 2024, 14:57
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The median of a list of values is the middle value for an odd number of values and the average of the two middle values for an even number of values, that is when the values are arranged in order. Thus, the median of 500 values would be the average of the 250th and 251st values. The first 5 values (1% of all households have 0 TVs) are 0's, and the next 250 values (50% of all households have 1 TV) are 1's. Therefore, both the 250th and 251st values will be 1, making the median equal to 1:
{0, 0, 0, 0, 0, 1, 1, ..., 1, 1, 1 (250th), 1 (251st), 1, 1, 1, 1 (255th), 2, 2, ..., 5 }
Answer: A.
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GMAT-Club-Forum-t9fp0bku.png [ 96.97 KiB | Viewed 4296 times ]
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