Cool-DownHere are the hourly wages of 10 employees at a restaurant.\begin{tabular}{|c|c|c|c|c|}\hline$8.00 & $7.25 & $7.25 & $15.50 & $20.00 \\\hline$13.50 & $14.00 & $9.75 & $24.60 & $13.00 \\\hline\end{tabular}Create a histogram of this data.
Q. Cool-DownHere are the hourly wages of 10 employees at a restaurant.\begin{tabular}{|c|c|c|c|c|}\hline$8.00 & $7.25 & $7.25 & $15.50 & $20.00 \\\hline$13.50 & $14.00 & $9.75 & $24.60 & $13.00 \\\hline\end{tabular}Create a histogram of this data.
Decide Number of Bins: Now, we need to decide on the number of bins for the histogram. Since we have 10 data points, let's use 5 bins for simplicity.
Calculate Bin Width: To find the width of each bin, we subtract the smallest wage from the largest wage and then divide by the number of bins: ($24.60−$7.25)/5=$3.47. We can round this to a convenient number, let's say \$\(3\).\(50\) for each bin.
Identify Bin Ranges: The bins will be: \(\$7.25-\$10.75\), \(\$10.75-\$14.25\), \(\$14.25-\$17.75\), \(\$17.75-\$21.25\), \(\$21.25-\$24.75\).
Count Wages in Bins: Now we count how many wages fall into each bin:\(\newline\)\(\$7.25-\$10.75\): \(4\) employees\(\newline\)\(\$10.75-\$14.25\): \(3\) employees\(\newline\)\(\$14.25-\$17.75\): \(2\) employees\(\newline\)\(\$17.75-\$21.25\): \(0\) employees\(\newline\)\(\$21.25-\$24.75\): \(1\) employee
Draw Histogram: Finally, we draw the histogram with the wage ranges on the horizontal axis and the number of employees on the vertical axis. Each bin's height corresponds to the number of employees in that wage range.
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