What conclusion can be determined from the dot plot below?(3 points)The median of the data set is 3.The mean of the data set is 3.The range of the data set is 5.The number of observations is 15.
Question
What conclusion can be determined from the dot plot below?(3 points)The median of the data set is 3.The mean of the data set is 3.The range of the data set is 5.The number of observations is 15.
Solution
To determine the conclusion from the dot plot, we need to analyze the given statements one by one:
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The median of the data set is 3.
- The median is the middle value of the data set when it is ordered from least to greatest. If the number of observations is odd, the median is the middle number. If the number of observations is even, the median is the average of the two middle numbers.
- Since the number of observations is 15 (an odd number), the median will be the 8th value in the ordered list.
- Check the dot plot to see if the 8th value is 3.
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The mean of the data set is 3.
- The mean is the sum of all the values divided by the number of observations.
- Calculate the sum of all the values in the dot plot and divide by 15 to see if the mean is 3.
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The range of the data set is 5.
- The range is the difference between the maximum and minimum values in the data set.
- Identify the maximum and minimum values from the dot plot and subtract the minimum from the maximum to see if the range is 5.
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The number of observations is 15.
- Count the total number of dots in the dot plot to verify if there are 15 observations.
By verifying each of these points with the dot plot, you can determine which conclusions are accurate.
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