Questions: Source USA TODAY 9. Airplane Seats The maximum number of seats in various models of passenger airplanes is shown. Find the mean, median, mode. and midrange for the data. 132, 156, 180, 220, 380, 440, 375, 440, 475, 853 Source: The World Almanac

Source USA TODAY 9. Airplane Seats The maximum number of seats in various models of passenger airplanes is shown. Find the mean, median, mode. and midrange for the data. 132, 156, 180, 220, 380, 440, 375, 440, 475, 853 Source: The World Almanac
Transcript text: Source USA TODAY 9. Airplane Seats The maximum number of seats in various models of passenger airplanes is shown. Find the mean, median, mode. and midrange for the data. \[ \begin{array}{llllllllll} 132 & 156 & 180 & 220 & 380 & 440 & 375 & 440 & 475 & 853 \end{array} \] Source: The World Almanac
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Solution

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Solution Steps

To solve this problem, we need to calculate the mean, median, mode, and midrange of the given data set.

  1. Mean: Sum all the numbers and divide by the count of numbers.
  2. Median: Sort the numbers and find the middle value. If the count is even, average the two middle numbers.
  3. Mode: Find the number that appears most frequently.
  4. Midrange: Average the maximum and minimum values in the data set.
Step 1: Calculate the Mean

The mean is calculated by summing all the values and dividing by the number of values.

\[ \text{Mean} = \frac{132 + 156 + 180 + 220 + 380 + 440 + 375 + 440 + 475 + 853}{10} = 365.1 \]

Step 2: Calculate the Median

The median is the middle value when the data set is ordered. If the number of values is even, the median is the average of the two middle numbers.

Ordered data set: \( [132, 156, 180, 220, 375, 380, 440, 440, 475, 853] \)

\[ \text{Median} = \frac{375 + 380}{2} = 377.5 \]

Step 3: Calculate the Mode

The mode is the value that appears most frequently in the data set.

\[ \text{Mode} = 440 \]

Step 4: Calculate the Midrange

The midrange is the average of the maximum and minimum values in the data set.

\[ \text{Midrange} = \frac{132 + 853}{2} = 492.5 \]

Final Answer

\[ \boxed{\text{Mean} = 365.1} \] \[ \boxed{\text{Median} = 377.5} \] \[ \boxed{\text{Mode} = 440} \] \[ \boxed{\text{Midrange} = 492.5} \]

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