Math  /  Data & Statistics

QuestionThe accompanying figure shows the numbers of refugees arriving in Europe from three countries of origin in 2016. a. What is the ratio of refugees from Venezuela to refugees from Syria? What is the ratio of the lengths of the corresponding bars in the graph? b. Based on your answer to part (a), do you consider the graph to be deceptive? Explain. c. Redraw the bar graph with a starting point of zero on the vertical axis.
Relvges so Europe by Cuntry of Oragn, 2019 a. What is the ratio of refugees from Venezuela to refugees from Syria? \square (Type an integer or decimal rounded to the nearest tenth as needed.) What is the ratio of the lengths of the corresponding bars in the graph? \square b. Based on your answer to part (a), do you consider the graph to be deceptive? Explain. \square because

Studdy Solution

STEP 1

What is this asking? We need to compare the *number* of refugees from Venezuela and Syria and also compare the *size* of their bars on the graph, then decide if the graph is misleading.
Finally, we'll redraw the graph properly. Watch out! The graph doesn't start at zero, so the bar sizes might not match the actual numbers!

STEP 2

1. Calculate the ratio of refugees.
2. Calculate the ratio of bar lengths.
3. Analyze and redraw.

STEP 3

From the graph, we see **Venezuela** had roughly 40,00040,000 refugees and **Syria** had roughly 80,00080,000 refugees.

STEP 4

To find the ratio of refugees from Venezuela to Syria, we divide the number of Venezuelan refugees by the number of Syrian refugees: 40,00080,000\frac{40,000}{80,000}.

STEP 5

We can simplify this fraction by dividing both the numerator and the denominator by their greatest common factor, which is 40,00040,000.
So, 40,00080,000=40,000÷40,00080,000÷40,000=12=0.5\frac{40,000}{80,000} = \frac{40,000 \div 40,000}{80,000 \div 40,000} = \frac{1}{2} = 0.5.
The ratio of Venezuelan to Syrian refugees is **0.5**.

STEP 6

The bar for Syria goes from roughly 40,00040,000 to 80,00080,000, so its length is 80,00040,000=40,00080,000 - 40,000 = 40,000 units.
The bar for Venezuela goes from 40,00040,000 to about 40,00040,000 plus half the length of Syria's bar, so it's roughly 40,000+1240,000=40,000+20,000=60,00040,000 + \frac{1}{2} \cdot 40,000 = 40,000 + 20,000 = 60,000 units.
The length of Venezuela's bar is 60,00040,000=20,00060,000 - 40,000 = 20,000 units.

STEP 7

The ratio of the bar lengths (Venezuela to Syria) is 20,00040,000\frac{20,000}{40,000}.

STEP 8

Dividing both numerator and denominator by 20,00020,000 gives us 20,00040,000=20,000÷20,00040,000÷20,000=12=0.5\frac{20,000}{40,000} = \frac{20,000 \div 20,000}{40,000 \div 20,000} = \frac{1}{2} = 0.5.
The ratio of the bar lengths is **0.5**.

STEP 9

Even though the ratios are accurate, the graph *is* deceptive!
Because the vertical axis doesn't start at zero, the bar for Syria looks much more than twice the size of the bar for Venezuela, even though it represents only twice the number of refugees.

STEP 10

We redraw the graph with the vertical axis starting at zero.
The bar for Syria should reach 80,00080,000, and the bar for Venezuela should reach 40,00040,000, with Syria's bar being twice as tall as Venezuela's bar.
Afghanistan's bar should reach 60,00060,000.

STEP 11

a. The ratio of refugees from Venezuela to Syria is **0.5**.
The ratio of the lengths of the corresponding bars is also **0.5**. b. Yes, the graph is deceptive because the vertical axis doesn't start at zero, making the difference between the bars appear exaggerated. c. (Redraw the graph with the vertical axis starting at zero, as described above)

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