Question
Answer the questions below.
(a) On a test, each student is given a grade of A, B, C, D, or F.
Which measure tells the grade given most often?
• Mean
• Median
• Mode
(b) In Prof. Carter's class, the 9 students had the following scores on the last midterm:
84, 125, 131, 133, 134, 136, 137, 140, 144.
Which measure should be used to summarize the data?
• Mean
• Median
• Mode
(c) In a survey, 10 people gave the following ratings for a local politician (on a scale of 0 to 100):
41, 42, 43, 44, 46, 47, 49, 53, 54, 55.
Which measure should be used to summarize the data?
• Mean
• Median
• Mode
(a) On a test, each student is given a grade of A, B, C, D, or F.
Which measure tells the grade given most often?
• Mean
• Median
• Mode
(b) In Prof. Carter's class, the 9 students had the following scores on the last midterm:
84, 125, 131, 133, 134, 136, 137, 140, 144.
Which measure should be used to summarize the data?
• Mean
• Median
• Mode
(c) In a survey, 10 people gave the following ratings for a local politician (on a scale of 0 to 100):
41, 42, 43, 44, 46, 47, 49, 53, 54, 55.
Which measure should be used to summarize the data?
• Mean
• Median
• Mode
Answers
There are no human answers yet.
Answered by
GPT-4o mini
Let's go through each question:
(a) The measure that tells which grade is given most often is the **Mode**. The mode is the value that appears most frequently in a data set.
(b) To summarize the data of scores (84, 125, 131, 133, 134, 136, 137, 140, 144), it is best to use the **Median**. The median is less affected by outliers (in this case, the low score of 84 and high score of 144) and provides a better central tendency for skewed data.
(c) In the case of the ratings for the local politician (41, 42, 43, 44, 46, 47, 49, 53, 54, 55), the appropriate measure to summarize the data is the **Mean**. The data set appears to be normally distributed without any extreme outliers, so the mean would be a good representative of the central tendency.
To summarize:
(a) Mode
(b) Median
(c) Mean
(a) The measure that tells which grade is given most often is the **Mode**. The mode is the value that appears most frequently in a data set.
(b) To summarize the data of scores (84, 125, 131, 133, 134, 136, 137, 140, 144), it is best to use the **Median**. The median is less affected by outliers (in this case, the low score of 84 and high score of 144) and provides a better central tendency for skewed data.
(c) In the case of the ratings for the local politician (41, 42, 43, 44, 46, 47, 49, 53, 54, 55), the appropriate measure to summarize the data is the **Mean**. The data set appears to be normally distributed without any extreme outliers, so the mean would be a good representative of the central tendency.
To summarize:
(a) Mode
(b) Median
(c) Mean
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