Math Problem Statement
Question content area top
Part 1
Listed below are the playing times (in seconds) of songs that were popular at the time of this writing. Find the (a) mean, (b) median, (c) mode, and (d) midrange for the given sample data. Is there one time that is very different from the others?
453453
245245
227227
251251
251251
297297
280280
223223
248248
213213
265265
243243
213213
263263
258258
257257 Question content area bottom
Part 1
a. The mean is
enter your response here
seconds.
(Round to one decimal place as needed.)
b. The median is
enter your response here
seconds.
(Round to one decimal place as needed.)
c. Is there one time that is very different from the others?
A.
Yes; the time of
453453
seconds is very different from the others.
B.
Yes; the time of
297297
seconds is very different from the others.
C.
No; all the times are not very different from each other.
D.
Yes; the time of
213213
seconds is very different from the others.
d. Which is a better measure when there is an outlier present in the data?
A.
Mean
B.
Median
C.
Both mean and median are good measures.
D.
Nither mean nor median is a good measure if there's an outlier present.
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Measures of Central Tendency
Outliers
Formulas
Mean: (sum of all values) / (number of values)
Median: middle value when data is ordered
Mode: most frequent value
Midrange: (maximum value + minimum value) / 2
Theorems
-
Suitable Grade Level
Grades 9-12
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