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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 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.

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 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.

1 answer

To analyze the box plot description you provided:

  • The minimum age is 15 years.
  • The lower quartile (Q1) is 30 years.
  • The median is 45 years.
  • The upper quartile (Q3) is 70 years.
  • The maximum age is 85 years.

Calculating the range: Range = Maximum - Minimum = 85 - 15 = 70 years.

Now let's go through the statements:

  1. "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." - Incorrect because the median is 45 years, not 55 years.

  2. "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." - Incorrect because the range is 70 years, not 45 years.

  3. "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." - Incorrect because the lower quartile is 30 years, not 15 years, and the upper quartile is 70 years, not 85 years.

  4. "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." - Correct! Everything matches as per the box plot description.

Therefore, the true statement is the last one:

"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."