Mean and Median Skew

Make notes now on the shapes of distributions and how the mean, median and mode might predict the skew of a distribution. Page 180-181 in the Statistics GCSE book will help. Let me know you have completed this task by writing a message bekow,

A positive number means positive skew. Negative number means negative skew, What do you think 0 means?

• Very negatively skewed

• Moderate negative skew

• Symmetrical data

• Moderate positive skew

• Very positive skew

Find the mean of the data in version A. Round to the tenth.

Estimate the mean of the histogram.

Which of the following statements is correct?

• Approximately 50% of the data are above/below the mean

• Less than 50% of the data are above the mean

• More than 50% of the data are above the mean

• Less than 50% of the data are below the mean

If data is skewed right, then the mean will be...

• greater than the median

• less than the median

• equal to the median

Remember that in a skewed distribution, extreme values will...

• pull the mean, but not the median

• pull the median, but not the mean

• pull the mean and median equally

The histogram shows the typical travel time to school (self-reported) for 50 high school students. Which of the following statements is true about the mean and median of this distribution?

• Mean > Median

• Mean < Median

• Mean = Median

• Mean ≈ Median

For which of the following distributions is the mean greater than the median?

• 
• 
• 
• 
• 

If a distribution is heavily skewed to the right, which relationship between the mean and median is likely true?

• MEAN<MEDIAN

• MEAN>MEDIAN