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The help desk is keeping track of the number of minutes the average caller spends on hold.

\begin{tabular}{|c|c|}
\hline \multicolumn{2}{|c|}{Average Time on Hold with Help Desk} \\
\hline Week & \begin{tabular}{c}
Average Time on Hold \\
(Minutes)
\end{tabular} \\
\hline 1 & 7 \\
\hline 2 & 5 \\
\hline 3 & 3 \\
\hline 4 & 2 \\
\hline 5 & 3 \\
\hline 6 & 5 \\
\hline
\end{tabular}

According to the table, during which interval did the average time spent on hold increase?

A. Week 1 to Week 3

B. Week 1 to Week 4

C. Week 4 to Week 6

D. Week 3 to Week 5

Sagot :

GinnyAnsweridn
To determine during which intervals the average time spent on hold increased, let's analyze the given data step-by-step.

First, we need to calculate the week-to-week changes in the average time on hold. Here are the average times for each week:
- Week 1: 7 minutes
- Week 2: 5 minutes
- Week 3: 3 minutes
- Week 4: 2 minutes
- Week 5: 3 minutes
- Week 6: 5 minutes

Next, let's calculate the changes in average times from one week to the next:
1. Change from Week 1 to Week 2: [tex]\( 5 - 7 = -2 \)[/tex]
2. Change from Week 2 to Week 3: [tex]\( 3 - 5 = -2 \)[/tex]
3. Change from Week 3 to Week 4: [tex]\( 2 - 3 = -1 \)[/tex]
4. Change from Week 4 to Week 5: [tex]\( 3 - 2 = 1 \)[/tex]
5. Change from Week 5 to Week 6: [tex]\( 5 - 3 = 2 \)[/tex]

The changes week by week are: [tex]\([-2, -2, -1, 1, 2]\)[/tex].

We now examine if the average time spent on hold increased in the specified intervals.

1. Week 1 to Week 3:
The total change from Week 1 to Week 3 is [tex]\((-2) + (-2) = -4\)[/tex]. Since the change is negative, the average time did not increase in this interval.

2. Week 1 to Week 4:
The total change from Week 1 to Week 4 is [tex]\((-2) + (-2) + (-1) = -5\)[/tex]. Since the change is negative, the average time did not increase in this interval.

3. Week 4 to Week 6:
The total change from Week 4 to Week 6 is [tex]\(1 + 2 = 3\)[/tex]. Since the change is positive, the average time increased in this interval.

4. Week 3 to Week 5:
The total change from Week 3 to Week 5 is [tex]\((-1) + 1 = 0\)[/tex]. Since the change is zero, the average time did not increase in this interval.

Summarizing the findings:

- The average time spent on hold did not increase from Week 1 to Week 3.
- The average time spent on hold did not increase from Week 1 to Week 4.
- The average time spent on hold increased from Week 4 to Week 6.
- The average time spent on hold did not increase from Week 3 to Week 5.

Therefore, the interval during which the average time spent on hold increased is Week 4 to Week 6.
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