Final answer:
The 17th percentile (P₁₇) is a temperature below which 17% of the observed temperatures fall. After arranging the given temperatures and calculating the rank, we interpolate to find that P₁₇ is a value slightly above 19 degrees Celsius for the last 10 days in Tabuk.
Step-by-step explanation:
The 17th percentile (P₁₇) of the temperatures indicates the value below which 17% of the temperature observations fall. To find P₁₇ for the given temperatures in Tabuk, we first need to order the temperatures from lowest to highest. Next, we calculate the rank of the 17th percentile using the formula Rank = (P/100) * (n + 1), where P is the desired percentile and n is the number of observations.
After arranging the data: 19, 21, 21, 23, 24, 25, 26, 27, 29, 31, and calculating the rank (Rank = (17/100) * (10 + 1) = 1.87), we find that the 17th percentile is between the first and second values after sorting. Since 1.87 is not an integer, we need to interpolate between the first and second values in the ordered set, which are 19 and 21 degrees Celsius. Therefore, P₁₇ is slightly above 19 degrees Celsius, indicating that about 17% of the last 10 days had temperatures below this value.