what is the mean of the distribution below? code: enter the mean as your code. do not round your answer…

what is the mean of the distribution below? code: enter the mean as your code. do not round your answer. enter all decimal places. put the decimal in the correct spot as well. weights of dogs weight in pounds

what is the mean of the distribution below? code: enter the mean as your code. do not round your answer. enter all decimal places. put the decimal in the correct spot as well. weights of dogs weight in pounds

Answer

Explanation:

Step1: Count data - points

There are 2 + 4+ 5 + 3+ 2 = 16 data - points.

Step2: Determine values and frequencies

Let's assume the values on the number - line are (x_1 = 12) (2 data - points), (x_2 = 15) (4 data - points), (x_3 = 18) (5 data - points), (x_4 = 22) (3 data - points), (x_5 = 28) (2 data - points).

Step3: Calculate the sum of the products

(\sum_{i = 1}^{5}f_ix_i=2\times12 + 4\times15+5\times18 + 3\times22+2\times28) [ \begin{align*} &=24+60 + 90+66 + 56\ &=296 \end{align*} ]

Step4: Calculate the mean

The mean (\bar{x}=\frac{\sum_{i = 1}^{5}f_ix_i}{n}), where (n = 16). So (\bar{x}=\frac{296}{16}=18.5)

Answer:

18.5