Laticia randomly selected 25% of the seventh-grade students in her school and asked them their favorite season. Of the students surveyed, 51 chose summer as their favorite season. Based on the data, what is the most reasonable prediction of the number of seventh-grade students in her school who would choose summer as their favorite season?

D. 200

Step-by-step explanation:

Laticia doing her survey on a sample that has a size of about 25% of the population. That means the sample is approximately four times larger than the sample she takes. Unless its ratio or percentage, any data she takes will be 1/4 of the population.  If 51 student of her sample choose summer as their favorite, predicted number on the population will be:  

51 * (100%/25%)=

51 * 4= 204

The number will be around 200.

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