What is an appropriate statistic to describe spread of the variable SEATS? a. IQ

Question

What is an appropriate statistic to describe spread of the variable SEATS?

a. IQR b. Skewness c. Mean d. SE Mean e. Median

Minitab data: Descriptive Statistics:

Variable    N N* Mean StDev Median    IQR Skewness

Seats     268 11 71.54 62.15 62.00 69.75      2.25

My interpretation: Two hundred seventy nine restaurants were randomly surveyed in WI in 1979. Of those 268 provided information on seat numbers in dining area. The mean value of seats in dining area was 71.5, with a standard deviation of 62.2. The distribution of seats is slightly positively skewed. There were many outliers in the dataset either at or above 205 seats.

Explanation / Answer

Given that the distribution is positively skewed and there are outliers in the dataset. For such a situation, when the distribution is right/postive skewed, we use Median as the center of the distribution and IQR is the best measure of spread of the distribution.

Hence, appropriate statistic to describe spread of the variable SEATS is IQR

Answer is Option-A

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.