The arithmetic mean is the most commonly used measure of location because it is

Question

The arithmetic mean is the most commonly used measure of location because it is never influenced too much by extremely large or extremely low values of the set of One good characteristic of the median is that it is not affected by extremely large or low values of the set of data. Range is a measure of location. in a positively skewed distribution, the mean is smaller than the median and the mode. in a set of data of values 8, 8, 8, 8, the standard deviation is zero. in a set of data, when an even number of values are arranged in an ascending order, the median is the average of the two middle values. the 75th percentile is the same as the 3rd quartile.

Explanation / Answer

1. FALSE

The mean can be skewed if too large or too small values are included in the data set

2. TRUE

Median takes the middle values of the sorted data set irrespective of how small or big the extremities are

3. FALSE. Range is a measure of the extent of the data set

4. FALSE

5. TRUE. all numbers are equal to each other, std deviation has to be zero. No dispersion

6. TRUE. middle value of even number of values is the mean of the middle 2 values, median of odd number of value is the middle value

7. TRUE. 25th is first quartile, 50th percentile is median, 75th is 3rd quartile

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