Find the median of the dataset: 8, 12, 15, 22, 26, 29.
Solution and Explanation
Step 1: Arrange the data in ascending order.
The data is already in ascending order: \[ 8, 12, 15, 22, 26, 29 \]
Step 2: Determine the number of observations.
There are \( n = 6 \) observations.
Step 3: Since \( n \) is even, the median is the average of the two middle terms.
The two middle terms are the 3rd and 4th terms: \( 15 \) and \( 22 \). \[ \text{Median} = \frac{15 + 22}{2} \]
Step 4: Simplify the result.
\[ \text{Median} = \frac{37}{2} = 18.5 \]
Final Answer: \(\boxed{18.5}\)
Short Explanation (Why this works)
The median represents the middle value of a dataset when arranged in order. For even-sized datasets, it’s the mean of the two central numbers. Hence, for this dataset, the median is \( 18.5 \).
Top Questions on Data Analysis
Three countries — Pumpland (P), Xiland (X), and Cheeseland (C) — trade among themselves and with the other countries in Rest of World (ROW). All trade volumes are given in IC (international currency). The following terminology is used:
• Trade balance = Exports– Imports
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• Normalized trade balance = Trade balance / Total trade, expressed in percentage terms
The following information is known:
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• 40%of exports of X are to P. 22% of imports of P are from X.
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• 12%of exports of ROW are to X, 40% are to P.
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The game is played over 10 rounds. In each round, the child holding the Buck must pass it directly to a child sitting in one of the following positions:
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Three travelers, Jano, Kira, and Lian set out from Zerathania visiting exactly two of the countries. Each country is visited by exactly two travelers. Each traveler has a unique Flight Cost, which represents the total cost of airfare in traveling to both the countries and back to Zerathania. The Flight Cost of Jano was 4000 Zentars, while that of the other two travelers were 5000 and 6000 Zentars, not necessarily in that order. When visiting a country, a traveler spent either 1000, 2000 or 3000 in the country’s local currency. Each traveler had different spends (in the country’s local currency) in the two countries he/she visited. Across all the visits, there were exactly two spends of 1000 and exactly one spend of 3000 (in the country’s local currency).
The total “Travel Cost” for a traveler is the sum of his/her Flight Cost and the money spent in the countries visited.
The citizens of the four countries with knowledge of these travels made a few observations, with spends measured in their respective local currencies:
• Aurevia citizen: Jano and Kira visited our country, and their Travel Costs were 3500 and 8000, respectively.
• Brelosia citizen: Kira and Lian visited our country, spending 2000 and 3000, respectively. Kira’s Travel Cost was 4000.
• Cyrenia citizen: Lian visited our country and her Travel Cost was 36000.- The two most populous cities and the non-urban region (NUR) of each of three states, Whimshire, Fogglia, and Humbleset, are assigned Pollution Measures (PMs). These nine PMs are all dis tinct multiples of 10, ranging from 10 to 90. The six cities in increasing order of their PMs are: Blusterburg, Noodleton, Splutterville, Quackford, Mumpypore, Zingaloo.
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