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Angad was conducting an experiment in which the average of 11 observation came to be 90, while the average of the first five observations was 87, and that of the last five was 84. What is the measure of the 6th observation?
- a)145
- b)150
- c)165
- d)135
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Angad was conducting an experiment in which the average of 11 observa...
Understanding the Problem
To find the 6th observation in Angad's experiment, we need to analyze the given averages and the total number of observations.
Given Data
- Total Observations (n): 11
- Average of all observations: 90
- Average of the first five observations: 87
- Average of the last five observations: 84
Calculating Total Sums
- **Total Sum of all 11 observations:**
\[
\text{Total Sum} = \text{Average} \times \text{Number of Observations} = 90 \times 11 = 990
\]
- **Total Sum of the first five observations:**
\[
\text{Sum of first 5} = 87 \times 5 = 435
\]
- **Total Sum of the last five observations:**
\[
\text{Sum of last 5} = 84 \times 5 = 420
\]
Finding the 6th Observation
- **Total Sum of first 5 and last 5 observations:**
\[
\text{Sum of first 5 + Sum of last 5} = 435 + 420 = 855
\]
- **Now, to find the 6th observation (let's call it x):**
\[
\text{Total Sum of all observations} = \text{Sum of first 5} + \text{6th observation} + \text{Sum of last 5}
\]
\[
990 = 855 + x
\]
- **Solving for x:**
\[
x = 990 - 855 = 135
\]
Conclusion
The measure of the 6th observation is **135**. Thus, the correct answer is option **D**.
To find the 6th observation in Angad's experiment, we need to analyze the given averages and the total number of observations.
Given Data
- Total Observations (n): 11
- Average of all observations: 90
- Average of the first five observations: 87
- Average of the last five observations: 84
Calculating Total Sums
- **Total Sum of all 11 observations:**
\[
\text{Total Sum} = \text{Average} \times \text{Number of Observations} = 90 \times 11 = 990
\]
- **Total Sum of the first five observations:**
\[
\text{Sum of first 5} = 87 \times 5 = 435
\]
- **Total Sum of the last five observations:**
\[
\text{Sum of last 5} = 84 \times 5 = 420
\]
Finding the 6th Observation
- **Total Sum of first 5 and last 5 observations:**
\[
\text{Sum of first 5 + Sum of last 5} = 435 + 420 = 855
\]
- **Now, to find the 6th observation (let's call it x):**
\[
\text{Total Sum of all observations} = \text{Sum of first 5} + \text{6th observation} + \text{Sum of last 5}
\]
\[
990 = 855 + x
\]
- **Solving for x:**
\[
x = 990 - 855 = 135
\]
Conclusion
The measure of the 6th observation is **135**. Thus, the correct answer is option **D**.
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Community Answer
Angad was conducting an experiment in which the average of 11 observa...
Sum of 11 observations = 11 × 90 = 990
Sum of 1 st 5 observation = 5 × 87 = 435
Sum of Last 5 observation = 5 × 84 = 420
6th observation = 990 − 435 − 420 = 135
Hence the correct option is D.
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Angad was conducting an experiment in which the average of 11 observation came to be 90, while the average of the first five observations was 87, and that of the last five was 84. What is the measure of the 6th observation?a)145b)150c)165d)135Correct answer is option 'D'. Can you explain this answer?
Question Description
Angad was conducting an experiment in which the average of 11 observation came to be 90, while the average of the first five observations was 87, and that of the last five was 84. What is the measure of the 6th observation?a)145b)150c)165d)135Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Angad was conducting an experiment in which the average of 11 observation came to be 90, while the average of the first five observations was 87, and that of the last five was 84. What is the measure of the 6th observation?a)145b)150c)165d)135Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Angad was conducting an experiment in which the average of 11 observation came to be 90, while the average of the first five observations was 87, and that of the last five was 84. What is the measure of the 6th observation?a)145b)150c)165d)135Correct answer is option 'D'. Can you explain this answer?.
Angad was conducting an experiment in which the average of 11 observation came to be 90, while the average of the first five observations was 87, and that of the last five was 84. What is the measure of the 6th observation?a)145b)150c)165d)135Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Angad was conducting an experiment in which the average of 11 observation came to be 90, while the average of the first five observations was 87, and that of the last five was 84. What is the measure of the 6th observation?a)145b)150c)165d)135Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Angad was conducting an experiment in which the average of 11 observation came to be 90, while the average of the first five observations was 87, and that of the last five was 84. What is the measure of the 6th observation?a)145b)150c)165d)135Correct answer is option 'D'. Can you explain this answer?.
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