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Explanation:

Determine the target interval

Using the Standard Deviation Interval knowledge point

$$ LATEXBLOCK0 $$

Count data points within the interval

We count the total number of points (years) plotted on the graph that fall within the temperature range from \(20^\circ\) to \(28^\circ\) inclusive.

Looking at the dot plot (where the vertical axis represents the frequency/number of years for each temperature value):

  • At \(20^\circ\):
  • Row 1: 1 dot
  • Total at \(20^\circ\) = 1
  • At \(21^\circ\):
  • Row 1: 1 dot
  • Total at \(21^\circ\) = 1
  • At \(22^\circ\):
  • Row 1: 1 dot
  • Row 2: 1 dot
  • Total at \(22^\circ\) = 2
  • At \(23^\circ\):
  • Row 1: 1 dot
  • Row 2: 1 dot
  • Row 3: 1 dot
  • Row 4: 1 dot
  • Total at \(23^\circ\) = 4
  • At \(24^\circ\):
  • Row 1: 1 dot
  • Row 2: 1 dot
  • Row 3: 1 dot
  • Total at \(24^\circ\) = 3
  • At \(25^\circ\):
  • Row 1: 1 dot
  • Row 2: 1 dot
  • Row 3: 1 dot
  • Total at \(25^\circ\) = 3
  • At \(26^\circ\):
  • Row 1: 1 dot
  • Row 2: 1 dot
  • Row 3: 1 dot
  • Row 4: 1 dot
  • Row 5: 1 dot
  • Total at \(26^\circ\) = 5
  • At \(27^\circ\):
  • Row 1: 1 dot
  • Row 2: 1 dot
  • Total at \(27^\circ\) = 2
  • At \(28^\circ\):
  • Row 1: 1 dot
  • Total at \(28^\circ\) = 1

Sum the counts

We sum the counts for each temperature in the interval \([20, 28]\):

$$ \text{Total Years} = 1 + 1 + 2 + 4 + 3 + 3 + 5 + 2 + 1 = 22 $$

Answer:

22