a team of entomologists is studying the caterpillar stage of the cinnabar moth. each researcher collects 8…

a team of entomologists is studying the caterpillar stage of the cinnabar moth. each researcher collects 8 caterpillars, measures their lengths in centimeters, then releases them. here are the data for one group of caterpillars: 2.3 2.5 1.1 2.5 2.4 2.9 2.3 1.6 what is the mean length for this group of caterpillars? cm
Answer
Explanation:
Step1: Calculate the sum of the data
$$2.3 + 2.5+1.1 + 2.5+2.4 + 2.9+2.3 + 1.6$$ $$=(2.3+2.3)+(2.5 + 2.5)+1.1+2.4+2.9+1.6$$ $$=4.6+5+1.1+2.4+2.9+1.6$$ $$=(4.6 + 5)+(1.1+2.4)+(2.9+1.6)$$ $$=9.6+3.5+4.5$$ $$=9.6+(3.5 + 4.5)$$ $$=9.6 + 8$$ $$=17.6$$
Step2: Calculate the mean
The number of data points (n = 8). The formula for the mean (\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}). So (\bar{x}=\frac{17.6}{8}=2.2)
Answer:
(2.2)