Question

unit 4 - mean, median and mode, and question 16, 7.3.41 part 1 of 3 use the frequency distribution table to find the a. mean, b. median, and c. mode. a. the mean is . (type a whole number or decimal rounded to one decimal place as needed.) data item frequency data item frequency 3 1 6 4 4 1 7 7 5 3 8 3

Explanation:

Step1: Calculate the sum of the products of data - items and their frequencies

The sum $S=\sum_{i}x_if_i=(3\times1)+(4\times1)+(5\times3)+(6\times4)+(7\times7)+(8\times3)=3 + 4+15 + 24+49+24 = 129$.

Step2: Calculate the total frequency

The total frequency $n=\sum_{i}f_i=1 + 1+3 + 4+7+3=19$.

Step3: Calculate the mean

The mean $\bar{x}=\frac{S}{n}=\frac{129}{19}\approx6.8$.

Answer:

$6.8$