Question

an online test of english spelling looked at how well people spelled difficult words. the bar graph to the right shows how many people per 100 spelled each word correctly.
a. estimate the number of people per 100 who spelled weird correctly. round to the nearest 5.
b. in a group consisting of 8716 randomly selected people, estimate how many more people can correctly spell weird than inoculate.
a. the approximate number of people per 100 who spelled weird correctly is . (type a whole number.)
b. in a group consisting of 8716 randomly selected people, approximately more people can correctly spell weird than inoculate. (type a whole number.)

Explanation:

Step1: Estimate number for 'weird' in 100

From the bar - graph, the bar for 'weird' reaches approximately 90 on the number - of - people (per 100) scale. Rounding to the nearest 5, the number of people per 100 who spelled 'weird' correctly is 90.

Step2: Estimate number for 'inoculate' in 100

From the bar - graph, the bar for 'inoculate' reaches approximately 40 on the number - of - people (per 100) scale.

Step3: Calculate the difference in proportion per 100

The difference in the number of people per 100 who spelled 'weird' and 'inoculate' correctly is $90 - 40=50$.

Step4: Calculate the difference in 8716 people

Let $x$ be the difference in the number of people who spelled 'weird' and 'inoculate' correctly in a group of 8716 people. We set up a proportion: $\frac{x}{8716}=\frac{50}{100}$. Cross - multiplying gives $x=\frac{50\times8716}{100}=4358$.

Answer:

a. 90
b. 4358