The graph shows the earliest, latest, average, and 2010 dates for when the temperature (°F) first reached given levels in...

Owning The Dataset

Table 1: Text Analysis

Table 2: Chart Analysis

Key Insights

The chart reveals large variability in timing for the first \(70°\mathrm{F}\) day, ranging from as early as mid-February to as late as mid-May—a three-month spread. On average, the first \(70°\mathrm{F}\) occurs around April 1, while in 2010 it came about two weeks earlier (March 15). The data shows substantial year-to-year swings in seasonal warming, with some years very early and some quite late, but all temperature levels are reached progressively later in the year as the threshold rises.

Step-by-Step Solution

Question 1: Earliest Date to Reach \(70°\mathrm{F}\)

Complete Statement:

From 1893 to 2010, the earliest date that the temperature first reached 70° in any year was approximately [BLANK 1].

Breaking Down the Statement

• Statement Breakdown 1:
  • Key Phrase: From 1893 to 2010
    Meaning: Specifies the time frame under consideration: all years from 1893 through 2010.
    Relation to Chart: The graph shows data across the entire timespan, including earliest, latest, and average dates for reaching \(70°\mathrm{F}\).
    Important Implications: We are searching for the single earliest recorded date to reach \(70°\mathrm{F}\) in this timeframe.
• Statement Breakdown 2:
  • Key Phrase: the earliest date that the temperature first reached 70° in any year
    Meaning: Identify the absolute earliest date when \(70°\mathrm{F}\) was first recorded in a year, over all the years shown.
    Relation to Chart: Corresponds to the point where the 'earliest' line (solid purple) meets the \(70°\mathrm{F}\) level.
    Important Implications: This is an extreme value; does not represent an average or a typical value but a single data outlier.
• What is needed: The single earliest date on which the temperature rose to \(70°\mathrm{F}\), as indicated by the intersection of the 'earliest' line with the \(70°\mathrm{F}\) temperature marker.

Solution:

• Condensed Solution Implementation:
  Visually check the graph for where the solid purple 'earliest' line intersects the \(70°\mathrm{F}\) horizontal gridline.
• Necessary Data points:
  The x-axis (date) value at which the 'earliest' line crosses the \(70°\mathrm{F}\) mark corresponds to the answer.
  • Calculations Estimations:
    The intersection occurs midway through February.
  • Comparison to Answer Choices:
    Among the given choices (February 1, February 15, March 1, March 15), February 15 best matches that intersection.

FINAL ANSWER Blank 1: February 15

Question 2: 2010 Date Compared to Average

Complete Statement:

In 2010, the date that the temperature first reached 70° was [BLANK 2] date.

Breaking Down the Statement

• Statement Breakdown 1:
  • Key Phrase: In 2010, the date that the temperature first reached 70°
    Meaning: Find the 2010-specific date where \(70°\mathrm{F}\) was first reached.
    Relation to Chart: This is shown by the black dash-dot '2010' line intersecting the \(70°\mathrm{F}\) level.
• Statement Breakdown 2:
  • Key Phrase: [BLANK 2] date
    Meaning: Requires comparison between the 2010 date and the average date for first reaching \(70°\mathrm{F}\).
    Relation to Chart: Compare intersection points of the '2010' line and the dotted blue 'average' line with the \(70°\mathrm{F}\) marker.
• What is needed: Whether the date for reaching \(70°\mathrm{F}\) in 2010 was well before, approximately the same, or well after the average date.

Solution:

• Condensed Solution Implementation:
  Compare where the black dash-dot '2010' line and the blue dotted 'average' line each cross the \(70°\mathrm{F}\) horizontal line.
• Necessary Data points:
  The intersection points for the '2010' and 'average' lines with \(70°\mathrm{F}\) are at almost the same time (mid-March).
  • Calculations Estimations:
    Both lines cross at nearly the same point (mid-March) on the x-axis, suggesting little or no difference.
  • Comparison to Answer Choices:
    Since both lines intersect the \(70°\mathrm{F}\) mark at similar dates, 'approximately the average' is the best fit among the answer choices.

FINAL ANSWER Blank 2: approximately the average

Summary

By visually examining where the respective lines for 'earliest' and '2010' intersect \(70°\mathrm{F}\) on the chart, and comparing those to answer choices, it is clear that the earliest-ever occurrence was on February 15 and that 2010's event was approximately at the historical average date.

Question Independence Analysis

These questions are independent, as one relies on a historical extreme across all years, and the other compares a specific year's occurrence to the multi-year average. Solving one does not affect answering the other.