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.

(a)  

Estimate the mean of the histogram.

(a)  

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