To find the measures of central tendency for the given data set, we need to calculate the mean, median, and mode.
Data set : 104, 107, 109, 104, 109, 111, 104, 109, 112, 104, 109, 111, 104, 110, 109
Mean (Average)
Add all the numbers together: 104 + 107 + 109 + 104 + 109 + 111 + 104 + 109 + 112 + 104 + 109 + 111 + 104 + 110 + 109 = 1426
Divide the sum by the total number of values (15): Mean = 15 1426 ≈ 95.07
Median (Middle Value)
First, organize the numbers in ascending order: 104, 104, 104, 104, 104, 107, 109, 109, 109, 109, 109, 110, 111, 111, 112
Since there are 15 numbers (an odd number of values), the median is the middle number: The 8th number in this sequence is 109 .
Mode (Most Frequent Value)
The number that appears most frequently in the data set is 104 , appearing five times.
In summary:
Mean: approximately 95.07
Median: 109
Mode: 104
These measures describe different aspects of the "central" location of the data, helping to understand more about the distribution of the vegetable sales data from Baguio City.
The mean of the vegetable sales data is approximately 95.07 kg, the median is 109 kg, and the mode is 104 kg. These measures provide insights into the average, central value, and most frequently occurring sales amount. Understanding these statistics aids in analyzing the distribution of vegetable sales from Baguio City.
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