Math Problem Statement

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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