Question

the weights of 16 randomly selected acorns from california black oak trees are recorded below. {0.2, 0.2, 0.9, 1.7, 3.6, 3.7, 3.8, 4.2, 4.3, 4.5, 5.2, 5.3, 5.4, 5.6, 6.2, 6.4}. the computations below should be rounded to one place more after the decimal than the data values above. give the sample mean of the data set.

Explanation:

Step1: Recall sample - mean formula

The formula for the sample mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $n$ is the number of data - points and $\sum_{i = 1}^{n}x_{i}$ is the sum of the data - points. Here, $n = 16$.

Step2: Calculate the sum of the data - points

$\sum_{i=1}^{16}x_{i}=0.2 + 0.2+0.9 + 1.7+3.6+3.7+3.8+4.2+4.3+4.5+5.2+5.3+5.4+5.6+6.2+6.4=57.6$

Step3: Calculate the sample mean

$\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}=\frac{57.6}{16}=3.6$

Answer:

$3.6$