7. What is the best measure of central tendency for the data? What answer do you get using this measure?
red blue green brown red pink orange
mode; red
median; green
mean; red
mode; pink
http://drdavespsychologypage.homestead.com/Two___Two_____four.pdf
Nominal scales only use mode, Ordinal scales can use mode or median.
To determine the best measure of central tendency for the given data, we typically consider three measures: the mode, the median, and the mean.
1. Mode: The mode is the value that appears most frequently in the data set. To find the mode, we need to count the occurrences of each value and see which one appears most often. In this case, the mode is "red" as it appears twice, more than any other color.
2. Median: The median is the middle value when the data set is arranged in ascending or descending order. To find the median, we need to arrange the colors in alphabetical order: blue, brown, green, orange, pink, red, red. Since we have an odd number of colors, the middle value is the 4th item, which is "green". So the median is "green".
3. Mean: The mean, also known as the average, is calculated by summing all the values in the data set and then dividing by the total number of values. In this case, the sum of the values is (red + blue + green + brown + red + pink + orange) = 7 colors. Since "red" appears twice, it contributes a total of 2 to the sum. So the mean is (2 + 1 + 1 + 1 + 1 + 1 + 1) / 7 ≈ 1.14. Rounded to two decimal places, the mean is approximately 1.14.
Therefore, the best measure of central tendency for this data can be subjective. If we prioritize the most frequent value, the mode is "red". If we prioritize the central value, the median is "green". If we prioritize the average value, the mean is approximately 1.14.