Explain why he following questions are false . 1. A single , extremely large val

Question

Explain why he following questions are false .
1. A single , extremely large value can affect the median more than the mean.. 2. One-half of all the data values will fall above the mode, and one-half will fall below the mode. 3. In a data set, the mode will always be unique. 4. The range and midrange are both measures of variation . 5.one disadvantage of the median is that itvis not unique. 6. The mode and midrange are both measures of variation. 7. If a persons score on an exam corresponds to the 75th percentile, then that person obtained 75 correct out of a 100 questions. Explain why he following questions are false .
1. A single , extremely large value can affect the median more than the mean.. 2. One-half of all the data values will fall above the mode, and one-half will fall below the mode. 3. In a data set, the mode will always be unique. 4. The range and midrange are both measures of variation . 5.one disadvantage of the median is that itvis not unique. 6. The mode and midrange are both measures of variation. 7. If a persons score on an exam corresponds to the 75th percentile, then that person obtained 75 correct out of a 100 questions.
1. A single , extremely large value can affect the median more than the mean.. 2. One-half of all the data values will fall above the mode, and one-half will fall below the mode. 3. In a data set, the mode will always be unique. 4. The range and midrange are both measures of variation . 5.one disadvantage of the median is that itvis not unique. 6. The mode and midrange are both measures of variation. 7. If a persons score on an exam corresponds to the 75th percentile, then that person obtained 75 correct out of a 100 questions.

Explanation / Answer

Solution:-

1. A single , extremely large value can affect the median more than the mean..

False the mean will be affected more with larger values

2. One-half of all the data values will fall above the mode, and one-half will fall below the mode.

False because mode can be anywhere in the data.

3. In a data set, the mode will always be unique.

False because there can be more than one mode.

4. The range and midrange are both measures of variation.

False because range is a measure of variation but midrange is central tendency.

5.One disadvantage of the median is that it is not unique.

False because it is unique as there is only 1 median

6. The mode and midrange are both measures of variation.

False because range and standard deviation are.

7. If a persons score on an exm corresponds to the 75th percentile, then that person obtained 75 correct out of a 100 questions.

False because percentile is not percentage.

A percentile is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations fall. For example, the 20th percentile is the value (or score) below which 20% of the observations may be found.

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