Americans tend to dine out multiple times per week. The number of times a sample of20 familiesdined out last week provides the following data.

61648414134224216732(a)

Compute the mean and median.

mean

median

(b)

Compute the first and third quartiles.

first quartilethird quartile

(c)

Compute the range and interquartile range.

rangeinterquartile range

(d)

Compute the variance and standard deviation. (Round your answers to two decimal places.)

variancestandard deviation

(e)

The skewness measure for these data is0.55. Comment on the shape of this distribution.

The skewness measure of 0.55 indicates the data are somewhat

.

Is it the shape you would expect? Why or why not?

, most people dine out a relatively few times per week and a few families dine out very frequently, therefore we would expect the data to be

.

(f)

Compute the lower and upper limits

lower limit

upper limit

Do the data contain outliers?

values in the data are less than the lower limit or greater than the upper limit, so there are