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 more variation for kentucky more variation for illinois a larger range for illinois a smaller iqr for kentucky

Explanation:

Step1: Recall range formula

Range = Maximum - Minimum

Step2: Calculate Kentucky range

For Kentucky, maximum = 58.3, minimum = 52.2. Range = 58.3 - 52.2 = 6.1

Step3: Calculate Illinois range

For Illinois, maximum = 55, minimum = 49.9. Range = 55 - 49.9 = 5.1

Step4: Recall IQR formula

IQR = Q3 - Q1 (where Q3 is third - quartile and Q1 is first - quartile)

Step5: Calculate Kentucky IQR

For Kentucky, Q3 = 57.3, Q1 = 54.5. IQR = 57.3 - 54.5 = 2.8

Step6: Calculate Illinois IQR

For Illinois, Q3 = 53.3, Q1 = 50.9. IQR = 53.3 - 50.9 = 2.4

Step7: Analyze variation

Since the range and IQR of Kentucky (6.1 and 2.8 respectively) are larger than those of Illinois (5.1 and 2.4 respectively), Kentucky has more variation.

Answer:

The range for the Kentucky temperatures is 6.1
The range for the Illinois temperatures is 5.1
The IQR for the Kentucky temperatures is 2.8
The IQR for the Illinois temperatures is 2.4
The box plots show more variation for Kentucky