Question

maria ran an experiment to determine the optimal conditions for growing artichokes. the data below displays the weights of the artichokes she grew (measured in grams). 78.3 58 55.8 52.2 66 43.7 78.3 78.3 39.9 44.7 what is the mean weight of the artichokes? mean = what is the median weight of the artichokes? median = what is the mode weight of the artichokes? mode = question help: worked example 1 message instructor post to forum

Explanation:

Step1: Calculate the sum of data

$78.3 + 58+55.8 + 52.2+66+43.7+78.3+78.3+39.9+44.7=645.2$

Step2: Calculate the mean

The number of data points $n = 10$. Mean $\bar{x}=\frac{645.2}{10}=64.52$

Step3: Arrange data in ascending order

$39.9,43.7,44.7,52.2,55.8,58,66,78.3,78.3,78.3$

Step4: Calculate the median

Since $n = 10$ (even), median $=\frac{55.8 + 58}{2}=56.9$

Step5: Find the mode

The mode is the number that appears most frequently. Here, $78.3$ appears 3 times, so mode $ = 78.3$

Answer:

mean = $64.52$
median = $56.9$
mode = $78.3$