Question

all of the following are correct except: 1 point
the mean is known as the average.
the extreme value is likely to change the median more than the mean of a sample.
extreme values change the mean of a sample.
a good sample should be representative of the population.

Explanation:

• For "The mean is known as the average": Mean is calculated as the sum of values divided by the number of values, so it's the average. Correct.
• For "The extreme value is likely to change the median more than the mean of a sample": Median is the middle value (or average of two middle values) and is less affected by extreme values. Mean is the sum divided by count, so extreme values affect mean more. Thus, this statement is incorrect.
• For "Extreme values change the mean of a sample": Since mean depends on the sum, extreme values (very high or low) will change the sum and thus the mean. Correct.
• For "A good sample should be representative of the population": A representative sample reflects the population's characteristics, which is a key sampling principle. Correct.

Answer:

The option with the incorrect statement is: The extreme value is likely to change the median more than the mean of a sample.