Directions: Study the table carefully and answer the given questions.
Number of pages printed by 5 printers during 5 days
| Printers $\rightarrow$
Days $\downarrow$ | A | B | C | D | E |
| :--- | :--- | :--- | :--- | :--- | :--- |
| Monday | 139 | 147 | 211 | 141 | 184 |
| Tuesday | 141 | 189 | 164 | 189 | 151 |
| Wednesday | 115 | 141 | 159 | 156 | 136 |
| Thursday | 89 | 223 | 120 | 147 | 113 |
| Friday | 187 | 93 | 257 | 160 | 124 |
What is the average number of pages printed by printer B on Monday, Tuesday and Friday?
Aptitude
Statistics
Difficulty: Easy
Choose an option
-
A138
-
B143
-
C151
-
D139
-
E147
Answer
Correct Answer: 143
Explanation
### Concept & Averages
The average is calculated by summing all the relevant data points and dividing by the total number of points.
$$ \text{Average} = \frac{\text{Sum of Observations}}{\text{Number of Observations}} $$
### Step-by-Step Solution
1. **Extract data for printer B:**
- Monday = $147$
- Tuesday = $189$
- Friday = $93$
2. **Calculate the sum:**
- $\text{Sum} = 147 + 189 + 93 = 429$
3. **Calculate the average:**
- Number of days = $3$
- $\text{Average} = \frac{429}{3} = 143$
### Exam Strategy & Shortcut
Assume a base average, say $140$. Find the deviations: Monday is $+7$, Tuesday is $+49$, Friday is $-47$. Sum of deviations = $7 + 49 - 47 = 9$. Divide the sum of deviations by $3$: $9 / 3 = 3$. Add this to the assumed average: $140 + 3 = 143$. This method avoids large additions.
### Common Pitfall
Adding the values correctly but forgetting to divide by $3$, or miscounting the number of days specified.
### Final Answer
Therefore, the correct answer is **143**.