The SMOG (Simplified Measure of Gobbledygook)readability formula is often used to estimate the reading grade level required by a person if he or she is to fully understand the written material being assessed. The formula is given by where w is the number of words that have three or more syllables in a sample of 30 sentences. A sample of 30 sentences from a given book shows a total of 75 words that have three or more syllables. Use the SMOG reading grade level formula to estimate the reading grade level required to fully understand this novel. Round your answer to the nearest tenth.
A)17.7 reading grade level
B)5.7 reading grade level
C)8.7 reading grade level
D)11.7 reading grade level
E)2.7 reading grade level

Question

The SMOG (Simplified Measure of Gobbledygook)readability formula is often used to estimate the reading grade level required by a person if he or she is to fully understand the written material being assessed. The formula is given by  where w is the number of words that have three or more syllables in a sample of 30 sentences. A sample of 30 sentences from a given book shows a total of 75 words that have three or more syllables. Use the SMOG reading grade level formula to estimate the reading grade level required to fully understand this novel. Round your answer to the nearest tenth.
A)17.7 reading grade level 
B)5.7 reading grade level 
C)8.7 reading grade level 
D)11.7 reading grade level 
E)2.7 reading grade level

Quizplus · Accepted Answer

Using the SMOG formula, we first need to find the square root of the number of words with three or more syllables multiplied by 30/number of sentences.

In this case, we have:

√(75 × 30/30) = √75 = 8.7 (rounded to the nearest tenth)

Therefore, the reading grade level required to fully understand this novel is 11.7 (rounded to the nearest tenth). So, the best choice is D.

The SMOG (Simplified Measure of Gobbledygook)readability Formula Is Often Used