Question

question 4 (1 point)
the dot plot displays the lengths of pencils (in inches) used by students in a class. what is the mean? inches
length (inches)
blank 1:
question 5 (1 point)
is \what is the area of the floor in this classroom?\ a statistical question?
no, it is not a statistical question, because the data required would not vary.
yes, it is a statistical question, because the data required would not vary.
yes, it is a statistical question, because the data required would vary.

Explanation:

Step1: Count the number of data - points and their values

There is 1 pencil of length 5 inches, 2 pencils of length 5.5 inches, 4 pencils of length 6 inches, 2 pencils of length 6.5 inches, and 1 pencil of length 7 inches.

Step2: Calculate the sum of all data - points

\[5\times1 + 5.5\times2+6\times4 + 6.5\times2+7\times1=5 + 11+24 + 13+7=60\]

Step3: Calculate the total number of data - points

\[1 + 2+4 + 2+1=10\]

Step4: Calculate the mean

The mean formula is \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\), where \(\sum_{i = 1}^{n}x_{i}\) is the sum of data - points and \(n\) is the number of data - points. So, \(\bar{x}=\frac{60}{10}=6\)

for Question 5:
A statistical question is one for which we expect variability in the data used to answer the question. The area of the floor in a classroom is a fixed value and does not vary.

Answer:

6