Question

1. the following dot plots show the high temperatures, in degrees fahrenheit, of two cities during the previous 10 days. kingman barstow temperature (°f) temperature (°f) 70 71 72 73 74 75 76 77 78 79 80 60 62 64 66 68 70 72 74 76 78 80 a. compare the iqr of the two cities. b. what might you conclude about the weather in these cities based on the iqr? the barstows iqr (13) is larger than the kingmans iqr (4) a the high temperature in barstow is more consistent than the high temperature in kingman. b the high temperature in kingman is more consistent than the high temperature in barstow. c the high temperatures in kingman and barstow show similar variability. d the cities of kingman and barstow are likely in different states.

Explanation:

Step1: Recall IQR concept

The inter - quartile range (IQR) is the difference between the third quartile ($Q_3$) and the first quartile ($Q_1$), i.e., $IQR = Q_3 - Q_1$. A smaller IQR indicates less variability in the data.

Step2: Analyze part a

We are given that Kingman's IQR = 4 and Barstow's IQR = 13. Since 4<13, Barstow's IQR is larger than Kingman's IQR.

Step3: Analyze part b

A smaller IQR means the data values are more clustered around the middle 50% of the data. Since Kingman has a smaller IQR, the high temperature in Kingman is more consistent than the high temperature in Barstow.

Answer:

a. Barstow's IQR (13) is larger than Kingman's IQR (4).
b. B. The high temperature in Kingman is more consistent than the high temperature in Barstow.