A foreman wants to use an $\overline { \mathrm { X } }$
Chart to control the average length of the bolts manufactured.He has recently collected the six samples given below. $$\begin{array} { c c c c c }
\text { Sample } & & & & \
1 & 1.99 & 2.01 & 2.02 & 2.02 \
2 & 2.00 & 2.00 & 2.01 & 2.01 \
3 & 1.98 & 1.99 & 2.01 & 1.98 \
4 & 2.01 & 2.02 & 2.02 & 1.99 \
5 & 1.99 & 1.99 & 2.01 & 1.99 \
6 & 2.03 & 1.98 & 2.03 & 2.04
\end{array}$$
Calculate the average range.
A).036
B).18
C).030
D).05

Question

A foreman wants to use an $\overline { \mathrm { X } }$
Chart to control the average length of the bolts manufactured.He has recently collected the six samples given below. $$\begin{array} { c c c c c } 
\text { Sample } & & & & \
1 & 1.99 & 2.01 & 2.02 & 2.02 \
2 & 2.00 & 2.00 & 2.01 & 2.01 \
3 & 1.98 & 1.99 & 2.01 & 1.98 \
4 & 2.01 & 2.02 & 2.02 & 1.99 \
5 & 1.99 & 1.99 & 2.01 & 1.99 \
6 & 2.03 & 1.98 & 2.03 & 2.04
\end{array}$$
Calculate the average range.
A).036
B).18
C).030
D).05

Quizplus · Accepted Answer

To find the average range, we first need to calculate the range for each sample. Range is the difference between the largest value and the smallest value in the sample.

Sample 1: 2.02 - 1.99 = 0.03
Sample 2: 2.01 - 2.00 = 0.01
Sample 3: 2.01 - 1.98 = 0.03
Sample 4: 2.02 - 1.99 = 0.03
Sample 5: 2.01 - 1.99 = 0.02
Sample 6: 2.04 - 1.98 = 0.06

Now we can calculate the average range by adding up the ranges and dividing by the number of samples:

(0.03 + 0.01 + 0.03 + 0.03 + 0.02 + 0.06) / 6 = 0.18 / 6 = 0.03

Therefore, the average range is 0.03, which corresponds to answer choice C.

A Foreman Wants to Use An X‾\overline { \mathrm { X } }X

A Foreman Wants to Use An $\overline { \mathrm { X } }$