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A random sample of 10 of the 2005 Nextel Cup NASCAR drivers produced the following ages: 33, 48, 41, 29, 40, 48, 44, 42, 49, 28. a. Find the mean age for the 10 NASCAR drivers of the 2005 Nextel Cup. b. Find the median age for the 10 NASCAR drivers of the 2005 Nextel Cup. c. Find the midrange of age for the 10 NASCAR drivers of the 2005 Nextel Cup. d. Find the mode, if one exists, for age for the 10 NASCAR drivers of the 2005 Nextel Cup.

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lucic

Answer:

  • Mean 40.2
  • Median 41.5
  • Mid-range 38.5
  • Mode 48

Explanation:

Arrange the given data in increasing order

Given, 33, 48, 41, 29, 40, 48, 44, 42, 49, 28.

⇒28,29,33,40,41,42,44,48,48,49

⇒number of sample ,n, =10

⇒The mean is sum of sample÷number of samples

[tex]28+29+33+40+41+42+44+48+48+49=402\\\\\\\\n=10\\\\mean=\frac{402}{10} =40.2[/tex]

⇒Median is the center value in the data set

28,29,33,40,41,42,44,48,48,49---------In this case , median is half sum of 41 and 42

[tex]median=\frac{41+42}{2} =\frac{83}{2} =41.5[/tex]

⇒The mid-range is the mean of the sum of the least and greatest value

=(28+49)÷2 =77÷2=38.5

⇒Mode is the value that appears most in the data set

28,29,33,40,41,42,44,48,48,49-----------mode is 48

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