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­In the Fiction sci-fi category over the 25-years depicted in the table the ratio of new titles by female authors to those by male authors is 1:6 => False

Sort by Category
=> Male: 4 + 5 + 4 + 6 + 7 = 26
=> Female: 4

Male to Female = 26 : 4 = 6.5 : 1


The average (arithmetic mean) number of titles published each five-year period in the category Fiction - Historical is 8.6 => True

Y1: 15
Y2: 10
Y3: 10
Y4: 5
Y5: 3
=> Avg = \(\frac{43}{5} = 8.6\)


The total number of new titles published in period 5 is greater than the total number of new titles published in period 1 => False

Calculating each column Y5 and Y1:
Y5: 175
Y1: 178
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Sajjad1994
Official Explanation

Statement 1 (False): There are 4 titles by female authors and 26 by male, making the ratio 4: 26 or 2:13. (Note that the fraction of new titles by female authors is 1/6).

Statement 2 (True): The total number of titles in the five periods (adding "male" and "female" numbers) is 15 + 10 + 10 + 5 + 3 = 43 and the average over the five periods is obtained by dividing the total by 5 to give 8.6.

Statement 3 (False): A total of 178 new titles were published in period 1 and 175 in period 5. These numbers are close and so although this question is easy, it is time consuming.
­Care to explain in five periods of historical is 15+10+10+5+3=43 ?
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rmahe11
Sajjad1994
Official Explanation

Statement 1 (False): There are 4 titles by female authors and 26 by male, making the ratio 4: 26 or 2:13. (Note that the fraction of new titles by female authors is 1/6).

Statement 2 (True): The total number of titles in the five periods (adding "male" and "female" numbers) is 15 + 10 + 10 + 5 + 3 = 43 and the average over the five periods is obtained by dividing the total by 5 to give 8.6.

Statement 3 (False): A total of 178 new titles were published in period 1 and 175 in period 5. These numbers are close and so although this question is easy, it is time consuming.
­Care to explain in five periods of historical is 15+10+10+5+3=43 ?
­Check for both M and F data from table 
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