Question

ky average annual temperature (°f)
52.2 54.5 55.6 57.3 58.3
49 50 51 52 53 54 55 56 57 58 59
49.9 50.9 51.85 53.3 55
il average annual temperature (°f)
the range for the kentucky temperatures is
the range for the illinois temperatures is
the iqr for the kentucky temperatures is
the iqr for the illinois temperatures is
the box plots show

Explanation:

Kentucky Temperature Range

Step1: Identify max and min for KY

Max KY temp: $58.3$, Min KY temp: $52.2$

Step2: Calculate range (max - min)

Range = $58.3 - 52.2 = 6.1$

Illinois Temperature Range

Step1: Identify max and min for IL

Max IL temp: $55$, Min IL temp: $49.9$

Step2: Calculate range (max - min)

Range = $55 - 49.9 = 5.1$

Kentucky IQR

Step1: Identify Q1 and Q3 for KY

Q1 (KY): $54.5$, Q3 (KY): $57.3$

Step2: Calculate IQR (Q3 - Q1)

IQR = $57.3 - 54.5 = 2.8$

Illinois IQR

Answer:

s:

• The range for the Kentucky temperatures is $\boldsymbol{6.1}$.
• The range for the Illinois temperatures is $\boldsymbol{5.1}$.
• The IQR for the Kentucky temperatures is $\boldsymbol{2.8}$.
• The IQR for the Illinois temperatures is $\boldsymbol{2.4}$.
• The box plots show that Kentucky's temperatures have a greater spread (both in overall range and inter - quartile range) compared to Illinois' temperatures. (The specific interpretation can vary based on the full context of the box - plot comparison, but this is a common takeaway from the calculated values.)