QuestionFind the mean, median, and mode for the nationalities: French (11), Dominican (20), Japanese (26), Filipino (35).
Studdy Solution
STEP 1
Assumptions1. The data set represents the nationality of a group of tourists in Southeast Asia.
. The frequency represents the number of tourists from each nationality.
The data set is as follows\begin{tabular}{|l|c|}
\hline Nationality & Frequency \\
\hline French &11 \\
\hline Dominican &20 \\
\hline Japanese &26 \\
\hline Filipino &35 \\
\hline\end{tabular}
STEP 2
First, we need to find the total number of tourists. We can do this by adding up the frequencies.
STEP 3
Now, plug in the given values for the frequencies to calculate the total number of tourists.
STEP 4
Calculate the total number of tourists.
STEP 5
The mean of a frequency distribution is calculated by dividing the sum of all values by the total number of values. However, in this case, the mean does not make sense because the data is categorical, not numerical. Therefore, the mean does not exist.
STEP 6
The median of a frequency distribution is the value that divides the data into two equal halves. However, in this case, the median does not make sense because the data is categorical, not numerical. Therefore, the median does not exist.
STEP 7
The mode of a frequency distribution is the value that appears most frequently. In this case, the mode is the nationality with the highest frequency.
STEP 8
Now, plug in the given values for the frequencies to find the mode.
STEP 9
Calculate the mode.
The mean of the data set does not exist.
The median of the data set does not exist.
The mode of the data set is Filipino.
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