an art instructor kept track of how many pictures his students painted. painting pictures what is the mean…

Explanation:

Step1: Count the data - points

There are 4 students who painted 0 pictures, 5 students who painted 1 picture, 3 students who painted 2 pictures, 4 students who painted 3 pictures, 2 students who painted 4 pictures, and 1 student who painted 6 pictures.

Step2: Calculate the sum of the products

The sum of the products is (4\times0 + 5\times1+3\times2 + 4\times3+2\times4+1\times6) [ \begin{align*} &4\times0+5\times1 + 3\times2+4\times3+2\times4+1\times6\ =&0 + 5+6 + 12+8+6\ =&37 \end{align*} ]

Step3: Calculate the total number of students

The total number of students is (4 + 5+3+4+2+1=19)

Step4: Calculate the mean

The mean (\bar{x}=\frac{37}{19}\approx1.95)

Answer:

(\frac{37}{19}\approx1.95)