Envision Math 2.0: Grade 8, Volume 1
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Envision Math 2.0: Grade 8, Volume 1 View details
4. Interpret Two-Way Frequency Tables
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Exercise 7 Page 235

Use the already filled slots in the table to calculate the values in other slots. Remember that the last row and column represents the totals.

Gender
Car Model Male Female Total
2-door 81 44 125
4-door 20 36 75
Total 120 80 200
Practice makes perfect

We know that a company surveyed 200 and asked which car model they preferred. To complete the two-way frequency table showing the results of the survey, we need to recognize that the last row and the last column show totals.

Gender
Car Model Male Female Total
2-door 81
4-door 36 75
Total 120 200
From the table above, we know that of the 75 people who preferred the 4-door car, 36 are female. Also, of the 200 people surveyed, 120 are male. With this information, we can find the number of males who preferred the 4-door model and the number of females in total.

Male For 4-door Model:& 75- 36= 20 Female Total:& 200- 120= 80 Let's write the given and the newly obtained information in our table.

Gender
Car Model Male Female Total
2-door 81
4-door 20 36 75
Total 120 80 200

To complete the table, notice that of the 80 females surveyed, 36 prefer the 4-door model. Also, of the 200 people surveyed, 75 prefer the 4-door model. With this information, we can find the number of females who prefer the 2-door model and the number of total people who prefer the 2-door model. Female For 2-door Model:& 80- 36=44 Total For 2-door Model:& 200- 75=125 With this information, we can finally complete our table!

Gender
Car Model Male Female Total
2-door 81 44 125
4-door 20 36 75
Total 120 80 200