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The box plot shows the result of a survey of the ages of several trees in a local park.

A number line going from 10 to 85 in increments of 5 labeled every 15 years. A box plot with a whisker going from the minimum of 15 years to the lower quartile of 30 years. A box going from the lower quartile of 30 years to the upper quartile of 70 years with a median at 45 years. A whisker going from 70 years to a maximum of 85 years.

Which statement is true?

(1 point)
Responses

The range of the tree ages is 70 years. The median tree age is 55 years. The lower quartile is 30 years, and the upper quartile is 70 years.
The range of the tree ages is 70 years. The median tree age is 55 years. The lower quartile is 30 years, and the upper quartile is 70 years.

The range of the tree ages is 70 years. The median tree age is 45 years. The lower quartile is 30 years, and the upper quartile is 70 years.
The range of the tree ages is 70 years. The median tree age is 45 years. The lower quartile is 30 years, and the upper quartile is 70 years.

The range of the tree ages is 70 years. The median tree age is 45 years. The lower quartile is 15 years, and the upper quartile is 85 years.
The range of the tree ages is 70 years. The median tree age is 45 years. The lower quartile is 15 years, and the upper quartile is 85 years.

The range of the tree ages is 45 years. The median tree age is 45 years. The lower quartile is 30 years, and the upper quartile is 70 years.
The range of the tree ages is 45 years. The median tree age is 45 years. The lower quartile is 30 years, and the upper quartile is 70 years.

1 answer

To analyze the statements based on the box plot description:

  1. Range of the ages: The range is calculated as the maximum age minus the minimum age. According to the box plot:

    • Minimum age = 15 years
    • Maximum age = 85 years
    • Range = 85 - 15 = 70 years

  2. Median tree age: The median is indicated in the box plot at 45 years.

  3. Lower quartile: The lower quartile is given as 30 years.

  4. Upper quartile: The upper quartile is stated to be 70 years.

Now, let's evaluate the responses:

  1. First option states:

    • Range: 70 years (Correct)
    • Median: 55 years (Incorrect)
    • Lower quartile: 30 years (Correct)
    • Upper quartile: 70 years (Correct)
    • Overall: Incorrect

  2. Second option states:

    • Range: 70 years (Correct)
    • Median: 45 years (Correct)
    • Lower quartile: 30 years (Correct)
    • Upper quartile: 70 years (Correct)
    • Overall: Correct

  3. Third option states:

    • Range: 70 years (Correct)
    • Median: 45 years (Correct)
    • Lower quartile: 15 years (Incorrect)
    • Upper quartile: 85 years (Incorrect)
    • Overall: Incorrect

  4. Fourth option states:

    • Range: 45 years (Incorrect)
    • Median: 45 years (Correct)
    • Lower quartile: 30 years (Correct)
    • Upper quartile: 70 years (Correct)
    • Overall: Incorrect

Therefore, the correct statement is the second option: "The range of the tree ages is 70 years. The median tree age is 45 years. The lower quartile is 30 years, and the upper quartile is 70 years."