Question

One feature of a distribution which is of interest is its variability. Which of the following is not a measure of spread? SELECT ONE

• Range

• Mean

• Standard deviation

• Innerquartile range

  
  

In the notes, we described the distribution of out-of-pocket ER costs which was approximately normally distributed. What relationship exists between the mean and median out-of-pocket ER costs? SELECT ONE

• The mean is significantly larger than the median.

• The mean and the median are very similar in value.

• The mean is significantly smaller than the median.

  
  

We then described the distribution of credit card charges which was skewed to the right. What relationship existed between the mean and median credit card charge? SELECT ONE

• The mean is significantly smaller than the median.

• The mean and the median are very similar in value.

• The mean is significantly larger than the median.

  
  

Based on your answers above, what relationship between the mean and median would you expect to see in a distribution that is left skewed? SELECT ONE

• The mean would be significantly larger than the median.

• The mean and the median would be very similar in value.

• The mean would be significantly smaller than the median.

Answer 1

One feature of a distribution that is of interest is its variability. Which of the following is not a measure of spread? SELECT ONE

Answer: Mean

Explanation: The correct option is Mean because mean is the measure of central tendency while the other options are measures of spread

In the notes, we described the distribution of out-of-pocket ER costs which was approximately normally distributed. What relationship exists between the mean and median out-of-pocket ER costs? SELECT ONE

Answer: The mean and the median are very similar in value.

Explanation: In the case of approximately normally distributed, the mean and median are almost very close to each other.

We then described the distribution of credit card charges which was skewed to the right. What relationship existed between the mean and median credit card charges? SELECT ONE

Answer: The mean is significantly larger than the median.

Explanation: In case, the distribution is skewed to right the relationship between mean and median is that Mean is significantly larger than the median

Based on your answers above, what relationship between the mean and median would you expect to see in a distribution that is left-skewed? SELECT ONE

Answer: The mean would be significantly smaller than the median.

Explanation: In case, the distribution is skewed to left the relationship between mean and median is that Mean is significantly smaller than the median