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ComprehensionGo through the following table. It gives you the data on the distance between the office and the homes of 11 employees (A to K) of a firm. Employee A B C D E F G H I J KDistance from office (kilometres or km) 0.5 1.2 2.3 2.5 2.5 3 3.3 4 7 9 200  Answer the following questions based on the data above. Question 3/3MandatoryOffice PartyImagine the firm plans a party for its employees. What would be a fair distance from the office to the party venue? Think of all the central tendency metrics. Which one do you think corresponds to the best representative value?Median, 3 kmMode, 2.5 kmMedian, 3.3 kmMean, 21.4 km

Question

ComprehensionGo through the following table. It gives you the data on the distance between the office and the homes of 11 employees (A to K) of a firm. Employee A B C D E F G H I J KDistance from office (kilometres or km) 0.5 1.2 2.3 2.5 2.5 3 3.3 4 7 9 200  Answer the following questions based on the data above. Question 3/3MandatoryOffice PartyImagine the firm plans a party for its employees. What would be a fair distance from the office to the party venue? Think of all the central tendency metrics. Which one do you think corresponds to the best representative value?Median, 3 kmMode, 2.5 kmMedian, 3.3 kmMean, 21.4 km

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Solution

The question is asking for the best representative value for the distance from the office to the party venue. The options given are the median (3 km or 3.3 km), mode (2.5 km), or mean (21.4 km).

Step 1: Understand the terms

  • Median: The middle value in a set of data when the data is arranged in ascending order.
  • Mode: The value that appears most frequently in a data set.
  • Mean: The average of all the values in a data set.

Step 2: Analyze the data

  • The distances given are: 0.5, 1.2, 2.3, 2.5, 2.5, 3, 3.3, 4, 7, 9, 200.
  • The median would be the middle value, which is 3 km.
  • The mode, or most common distance, is 2.5 km.
  • The mean would be the sum of all distances divided by the number of distances. However, the value of 200 km is an outlier and skews the mean to 21.4 km, which is not representative of the majority of the distances.

Step 3: Choose the best representative value

  • The mean is not a good representative value because it is skewed by the outlier.
  • The mode is the most common distance, but it does not take into account the distances of all employees.
  • The median is the middle value and is not affected by outliers, making it the best representative value.

So, the answer is "Median, 3 km".

This problem has been solved

Similar Questions

ComprehensionGo through the following table. It gives you the data on the distance between the office and the homes of 11 employees (A to K) of a firm. Employee A B C D E F G H I J KDistance from office (kilometres or km) 0.5 1.2 2.3 2.5 2.5 3 3.3 4 7 9 200  Answer the following questions based on the data above. Question 2/3MandatoryOffice Party: ModeWhat is the mode of employee data?3 km2.5 km3.3 km21.4 km

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