2128 Measures Of Centre

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| By Anthony Nunan

Anthony Nunan

Community Contributor

Quizzes Created: 132 | Total Attempts: 44,116

Questions: 23 | Attempts: 702 | Updated: Mar 20, 2023

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Use your knowledge of Mean, Median and Mode to answer the following questions.

Questions and Answers

1.

From the image above, which statement is most correct?
- A.
  
  The mean and mode are the same
- B.
  
  The median value is higher than the mean
- C.
  
  The mean value is higher than the median
- D.
  
  The mean and median are approximately the same
Correct Answer
B. The median value is higher than the mean

Explanation
To determine the most correct statement, we need to compare the median and mean values. In this case, the median value is higher than the mean, indicating that the data is positively skewed. This means that there are a few very high values pulling the median up, while the mean is lower due to these outliers. Therefore, the statement "The median value is higher than the mean" is the most correct.

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2.

From the image above, which statement is most correct?
- A.
  
  The mean and mode are the same
- B.
  
  The median value is higher than the mean
- C.
  
  The mean value is higher than the median
- D.
  
  The mean and median are approximately the same
Correct Answer
B. The median value is higher than the mean

Explanation
The median value is higher than the mean in this case because the data distribution is positively skewed. This means that there are a few extremely high values that pull the median higher than the mean.

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3.

From the image above, which statement is most correct?
- A.
  
  The mean and mode are the same
- B.
  
  The median value is higher than the mean
- C.
  
  The mean value is higher than the median
- D.
  
  The mean and median are approximately the same
Correct Answer
C. The mean value is higher than the median

Explanation
The mean value is higher than the median because the mean is calculated by summing all the values and dividing by the number of values, while the median is the middle value when the data is arranged in ascending order. If the distribution is skewed, with a few extreme values, the mean will be pulled towards these extreme values, making it higher than the median.

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4.

From the image above, which statement is most correct?
- A.
  
  The mean and mode are the same
- B.
  
  The median value is higher than the mean
- C.
  
  The mean value is higher than the median
- D.
  
  The mean and median are approximately the same
Correct Answer
D. The mean and median are approximately the same

Explanation
The mean is the average of all the values in a dataset, while the median is the middle value when the dataset is arranged in ascending or descending order. When the mean and median are approximately the same, it suggests that the dataset is symmetrically distributed. This means that there are an equal number of values above and below the median, resulting in a similar average value.

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5.

From the image above, which statement is most correct?
- A.
  
  The mean and mode are the same
- B.
  
  The median value is higher than the mean
- C.
  
  The mean value is higher than the median
- D.
  
  The mean and median are approximately the same
Correct Answer
C. The mean value is higher than the median

Explanation
The mean value is higher than the median because the mean is calculated by summing all the values and dividing by the total number of values, while the median is the middle value in a sorted list of values. In this case, since the values are skewed towards the right, the mean is pulled higher by the larger values, resulting in a higher mean compared to the median.

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6.

From the image above, which statement is most correct?
- A.
  
  The mean and mode are the same
- B.
  
  The median value is higher than the mean
- C.
  
  The mean value is higher than the median
- D.
  
  The mean and median are approximately the same
Correct Answer
C. The mean value is higher than the median

Explanation
The mean value is higher than the median in this case because the mean is influenced by extreme values, while the median is not. Since the data is skewed towards higher values, the mean is pulled upwards, resulting in a higher value compared to the median.

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7.

From the image above, which statement is most correct?
- A.
  
  The mean and mode are the same
- B.
  
  The median value is higher than the mean
- C.
  
  The mean value is higher than the median
- D.
  
  The mean and median are approximately the same
Correct Answer
C. The mean value is higher than the median

Explanation
The mean is the average of all the values in a dataset, while the median is the middle value when the values are arranged in ascending or descending order. If the mean is higher than the median, it suggests that there are some larger values in the dataset that are pulling the average up. Therefore, the statement "The mean value is higher than the median" is the most correct.

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8.

From the image above, which statement is most correct?
- A.
  
  The mean and mode are different
- B.
  
  The median value is higher than the mean
- C.
  
  The mean value is higher than the median
- D.
  
  The mean and median are approximately the same
Correct Answer
D. The mean and median are approximately the same

Explanation
The answer is correct because the image shows a symmetric distribution, where the mean and median are expected to be close to each other. In a symmetric distribution, the mean and median will have similar values, indicating that the data is evenly spread around the center. Therefore, the statement that the mean and median are approximately the same is the most correct.

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9.

From the image above, which statement is most correct?
- A.
  
  The mean and mode are the same
- B.
  
  The median value is higher than the mean
- C.
  
  The mean value is higher than the median
- D.
  
  The mean and median are approximately the same
Correct Answer
B. The median value is higher than the mean
10.

From the image above, which statement is most correct?
- A.
  
  The mean and mode are the same
- B.
  
  The median value is higher than the mean
- C.
  
  The mean value is higher than the median
- D.
  
  The mean and median are approximately the same
Correct Answer
B. The median value is higher than the mean

Explanation
The median value is higher than the mean because the data is positively skewed. This means that there are a few extremely high values that pull the median upwards, while the mean is influenced more by these extreme values and is therefore lower.

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11.

From the image above, which statement is most correct?
- A.
  
  The mean and mode are the same
- B.
  
  The median value is higher than the mean
- C.
  
  The mean value is higher than the median
- D.
  
  The mean and median are approximately the same
Correct Answer
C. The mean value is higher than the median

Explanation
The mean value is calculated by adding up all the values in a dataset and dividing by the total number of values. The median value is the middle value when the dataset is arranged in order. In this case, the mean value is higher than the median because the dataset contains some higher values that pull the mean up.

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