The stemand-leaf plot of weights (in pounds) of· carmy-on luggage on a plane is

Question

The stemand-leaf plot of weights (in pounds) of· carmy-on luggage on a plane is shown below. Find the mean, median, and mode of the data. If any measure cannot be found or does not represent the center of the data, explain why. A. The mode(s) íslare Type an integer or decimal rounded to one decimal place as needed. Use a comma to separate answers as needed) O B. There is no mode for this data set 1 104 2 1488 3 78 4 355 5 07 615 Key: 1 10-10 Does (Do) the mode(s) represent typical, or central, data entries? O A. Yes, the mode(s) represent(s) typical data entries The mode(s) does (do) not represent typical data entries because it (they) is (are) not a data value. B. 10 4 O C. The mode(s) does (do) not represent typical data entries because it (one) is the largest data value. 0 D. The mode(s) does (do) not represent typical data entries because it (one) is the smallest data value The data set has no mode because the 0 E. data values are at the nominal level of measurement Click to select your answer

Explanation / Answer

(1) The modes are:

28, 45

EXPLANATION: 28 & 45 occur the maximum number of times (2 times)

A. Yes, the modes represent typical data sets.

(2)

The median is:

38

EXPLANATION:

Sample size = n = 15.

Median = (n+1)/2th item = 8th item = 38

A. The median represents the center.

(3)

The mean is:

40.6

EXPLANATION:

Mean = Total of values/Number of values

         = 609/15 = 40.6

A. The mean represents the center.

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