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Average daily temperature data was collected for the cities of Sapporo, Japan, and Vladivostok, Russia, for the period from 6 August 2020 to 20 August 2020. These cities are both at approximately 43 degrees north in latitude but on opposite sides of the Sea of Japan.

(a) State the five-number summary for the average daily temperature in Sapporo for these two weeks in August.

(b) State the five-number summary for the average daily temperature in Vladivostok for the same two weeks.

(c) Draw comparative boxplots of the two data sets (do not use Excel).

(d) Compare the boxplots for both sets of data and state, with reasons, whether there appears to be a significant difference between the average daily temperatures in Sapporo and Vladivostok for this two-week period.

Answer :

The medians are significantly different and the interquartile ranges do not overlap, there may be a significant difference between the temperatures in the two cities.

(a) The five-number summary for the average daily temperature in Sapporo for the two weeks in August includes:

- Minimum

- First Quartile (Q1)

- Median (Second Quartile or Q2)

- Third Quartile (Q3)

- Maximum

(b) The five-number summary for the average daily temperature in Vladivostok for the same two weeks also includes the same five values: Minimum, Q1, Median, Q3, and Maximum.

(c) To draw comparative boxplots of the two data sets (Sapporo and Vladivostok), you would create two side-by-side boxplots where each boxplot represents the distribution of average daily temperatures for each city.

The boxplot includes the minimum, maximum, quartiles, and potential outliers.

(d) To determine if there is a significant difference between the average daily temperatures in Sapporo and Vladivostok, you would compare the boxplots.

Look for differences in the positions of the median, the spread of the data (interquartile range), and the presence of any potential outliers.

If the medians are significantly different and the interquartile ranges do not overlap, there may be a significant difference between the temperatures in the two cities. Additionally, if there are outliers in one city but not the other, this could also indicate a difference.

To know more about medians refer here:

https://brainly.com/question/300591#

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