Question

In an attempt to be environmentally friendly, the city council decides that there must be at least 18 trees on each block in the city. A sample of 20 blocks was randomly surveyed, with these results (number of trees per block): 24, 17, 7, 20, 28, 27, 10, 21, 30, 8, 30, 27, 22, 27, 27, 13, 27, 20, 24, 17. What is the sample mean number of trees per block ? A. 17.7 B. 21.3 C. 24 D. There is insufficient data to answer this question.

Answer 1

The sample mean number of trees per block is calculated by summing the quantity of trees for each block and then dividing by the number of blocks. The sum equals 426 trees, and when divided by 20 blocks, the sample mean is 21.3.

Step-by-step explanation:

The question asks us to calculate the sample mean number of trees per block from a given data set. The sample mean is calculated by summing all the observed values and then dividing by the number of observations. In this case, we add together the number of trees for each of the 20 blocks and then divide by 20 to find the mean.

To calculate the sample mean, we sum the number of trees: 24 + 17 + 7 + 20 + 28 + 27 + 10 + 21 + 30 + 8 + 30 + 27 + 22 + 27 + 27 + 13 + 27 + 20 + 24 + 17 = 426.

Next, divide the total by the number of blocks (20) to find the sample mean: 426 / 20 = 21.3.

Therefore, the sample mean number of trees per block is 21.3, which corresponds to option B.