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Question
a. find and interpret the median number of years teaching experience.
b. what percent of the teachers have 7 or more years of teaching experience?
c. about how many of the teachers have between 7 and 23 years of experience?
- the histogram shows the distribution of the percent of the population that is urban for each of 216 countries/territories.
a. is it possible to calculate the median urban population for each of the countries/territories.
Step1: Assume data from the box - and - whisker plot for part a
The box - and - whisker plot has the median marked by the line inside the box. If we assume the box - and - whisker plot is drawn correctly, the median is the middle value. Let's say from the plot, the median number of years teaching experience is 15 years. Interpretation: Half of the teachers have less than 15 years of teaching experience and half have more.
Step2: Calculate percentage for part b
Count the total number of teachers (assume we have the frequency data from the plot or related source). Let's say there are \(n\) total teachers. Count the number of teachers with 7 or more years of experience, say \(m\). The percentage \(P=\frac{m}{n}\times100\). If from the plot, we find that 80 out of 100 teachers have 7 or more years of experience, then \(P = 80\%\).
Step3: Calculate number for part c
Let the total number of teachers be \(N\). Find the proportion of teachers with experience between 7 and 23 years from the plot. Let's say the proportion is \(p\). Then the number of teachers \(x = N\times p\). If \(N = 100\) and the proportion \(p=0.6\), then \(x = 60\).
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a. Median is 15 years. Interpretation: Half of teachers have less than 15 years and half have more.
b. 80%
c. 60