The following data shows the number of potatoes in twenty 2 kg bags. One graph represents Farm A, the other represents Farm B
Farm A: 8,9,11,13,13,16,19,19,19,20,21,21,23,25,26,27,30,31,33,33
Farm B: 9,9,11,11,12,13,13,14,15,16,17,17,18,19,20,21,21,22,24,30
You are interested in larger potatoes for baking. Which farm would you choose purchase from? Justify your answer by using measures of central tendency.
Didn't you understand PsyDAG's answer?
https://www.jiskha.com/display.cgi?id=1523394590
not really
He told you to find the mean of each set of numbers.
https://www.mathsisfun.com/mean.html
To determine which farm to choose for purchasing larger potatoes for baking, we can compare the measures of central tendency for both farms.
Measures of central tendency are statistical measures that provide information about the center or average value of a dataset. The three commonly used measures of central tendency are the mean, median, and mode.
1. Mean: The mean is calculated by summing up all the values in a dataset and then dividing it by the total number of values.
Farm A: Mean = (8 + 9 + 11 + 13 + 13 + 16 + 19 + 19 + 19 + 20 + 21 + 21 + 23 + 25 + 26 + 27 + 30 + 31 + 33 + 33) / 20 = 21.1 kg (approximately)
Farm B: Mean = (9 + 9 + 11 + 11 + 12 + 13 + 13 + 14 + 15 + 16 + 17 + 17 + 18 + 19 + 20 + 21 + 21 + 22 + 24 + 30) / 20 = 17.1 kg (approximately)
Comparing the means, Farm A has a higher average weight of potatoes compared to Farm B.
2. Median: The median is the middle value of a dataset when it is arranged in ascending or descending order.
Farm A: Median = the 10th value = 20 kg
Farm B: Median = the 10th value = 16 kg
Comparing the medians, Farm A has a higher middle value, indicating a higher weight.
3. Mode: The mode is the value that appears most frequently in a dataset.
Farm A: Mode = 19 kg (appears 3 times)
Farm B: Mode = No clear mode as all values appear only once.
Comparing the modes, Farm A has a clear mode of 19 kg, whereas Farm B does not have a clear mode.
Based on the measures of central tendency, specifically the mean, median, and mode, Farm A seems to have larger potatoes for baking compared to Farm B. The mean and median values are higher for Farm A, indicating a generally larger size. Additionally, Farm A has a clear mode value, indicating a higher frequency of larger potatoes at that weight.