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Directions (1 - 4): The following table show the world production of steel in 1920 - 1927. Study the table and answer the questions.
Year Production (in million tons)
1920 71.30
1921 43.51
1922 67.66
1923 76.23
1924 77.23
1925 88.93
1926 91.75
1927 100.17

direction image ofTable Chart chapter
1
The average production of steel is:
Discuss
Answer & Solution
The average production during (1920 - 1927)
$$\frac{71.30 + 43.51 + 67.66 + 76.23 + 77.23 + 88.93 + 91.75 + 100.17}{8}$$
= 77.0975 million tons
≈ 77.10 million tons
2
The difference of the production of steel in the year 1923 and 1924 is x% of 1927. Then the value of x approximately.
Discuss
Answer & Solution
$$\eqalign{ & \text{According to the question,} \cr & \Rightarrow 100.17 \times \frac{x}{100} = \left(77.23 - 76.23 \right) \cr & \Rightarrow x = \frac{100}{100.17} \cr & \Rightarrow x = 0.99860..\% \cr & \Rightarrow x = 1\%\, \left(\text{Approx} \right) \cr} $$
3
The ratio of production of steel in the year 1924 and 1925 to that of 1923 and 1927 is:
Discuss
Answer & Solution
$$\eqalign{ & \text{Required ratio} \cr & = \frac{\text{Production of steel in }1924 + 1925}{\text{Production of steel in }1923 + 1927} \cr & = \frac{77.23 + 88.93}{76.23 + 100.17} \cr & = \frac{166.16}{176.4} \cr & = \frac{2077}{2205} \cr & = 2077 : 2205 \cr} $$
4
The number of years during which the company has its production less than the average production during 1920 - 1927 is approximately.
Discuss
Answer & Solution
The average production during (1920 - 1927)
$$\frac{71.30 + 43.51 + 67.66 + 76.23 + 77.23 + 88.93 + 91.75 + 100.17}{8}$$
= 77.0975 (million tons)
The required number of year
= 4 (1920, 1921, 1922, 1923)