Question

(a) which city had a smaller range of noon temperatures?
city a
(b) which city had the highest noon temperature?
city b
(c) which city had noon temperatures with a larger interquartile range (iqr)?
select
(d) which city had a larger median noon temperature?
select

Explanation:

To solve these questions, we typically analyze data related to the noon temperatures of City A and City B (though the data isn't fully shown here, we assume it's from a context like box - and - whisker plots or a data set). For part (a), the range is calculated as the maximum temperature minus the minimum temperature. If City A has a smaller difference between its max and min noon temperatures, it has a smaller range. For part (b), we compare the maximum noon temperatures of the two cities, and if City B's max is higher, it's the answer. For part (c), the interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1) ($IQR = Q3 - Q1$). We need to calculate or compare the IQR values of the two cities' temperature data. For part (d), the median is the middle value of a data set (or the average of the two middle values for an even - numbered set). We compare the median temperatures of City A and City B. Since the problem is about analyzing temperature data using statistical measures like range, median, and IQR, the subfield of Mathematics that applies is Statistics.

Answer:

(a) A. City A
(b) B. City B
(c) (Depends on the data, e.g., if City B has a larger $Q3 - Q1$, then B. City B; if City A, then A. City A)
(d) (Depends on the data, e.g., if City B has a larger median, then B. City B; if City A, then A. City A)