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Find the​ mean, median, and mode of the set of numbers.

121​, 161​, 148​, 135​, 183​, 166​, 102​, 194
Question content area bottom
Part 1
What is the​ mean?
  
enter your response here ​(Type an integer or decimal rounded to one decimal place as​ needed.)
Part 2
What is the​ median?
  
enter your response here ​(Type an integer or a​ decimal.)
Part 3
What is the​ mode? Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.
A.enter your response here
  
enter your response here

1 answer

Let's calculate the mean, median, and mode of the set of numbers: 121, 161, 148, 135, 183, 166, 102, 194.

Part 1: Mean

To find the mean, sum up all the numbers and then divide by how many numbers there are.

\[ \text{Sum} = 121 + 161 + 148 + 135 + 183 + 166 + 102 + 194 \] \[ \text{Sum} = 121 + 161 + 148 + 135 + 183 + 166 + 102 + 194 = 1210 \]

Now divide by the number of values (which is 8):

\[ \text{Mean} = \frac{1210}{8} = 151.25 \]

Part 2: Median

To find the median, arrange the numbers in ascending order: 102, 121, 135, 148, 161, 166, 183, 194

Since there is an even number of values (8), the median will be the average of the 4th and 5th numbers.

\[ \text{Median} = \frac{148 + 161}{2} = \frac{309}{2} = 154.5 \]

Part 3: Mode

The mode is the number that appears most frequently in the set. In this case, all numbers appear only once, which means there is no mode.

So, summarizing:

Mean: 151.25
Median: 154.5
Mode: No mode

Here are the answers in the specified format:

  1. Mean: 151.3 (rounded to one decimal place)
  2. Median: 154.5
  3. Mode: No mode (or you can write "none").