A taxi company tests a random sample of 10 steel-belted radial tires of a certain brand and records the tread wear in kilometers, as shown below. 68,000 54,000 47,000 52,000 41,000 58,000 61,000 51,000 47,000 59,000 Note that the sample variance becomes c² times its original value if each observation in the sample is multiplied by c and unchanged if a constant is added to or subtracted from each value in the sample. Use these facts to find the standard deviation of this set of data by first dividing each observation by 1000 and then subtracting 50. 4 For the data set that results from dividing each observation by 1000 and then subtracting 50, the variance is (Round to three decimal places as needed.)

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A taxi company tests a random sample of 10 steel-belted radial tires of a certain brand and records the tread wear in kilometers, as shown
below.
68,000 54,000 47,000 52,000 41,000 58,000 61,000 51,000 47,000 59,000
Note that the sample variance becomes c² times its original value if each observation in the sample is multiplied by c and unchanged if a
constant is added to or subtracted from each value in the sample. Use these facts to find the standard deviation of this set of data by first
dividing each observation by 1000 and then subtracting 50.
For the data set that results from dividing each observation by 1000 and then subtracting 50, the variance is
(Round to three decimal places as needed.)
all
Check answer
Transcribed Image Text:A taxi company tests a random sample of 10 steel-belted radial tires of a certain brand and records the tread wear in kilometers, as shown below. 68,000 54,000 47,000 52,000 41,000 58,000 61,000 51,000 47,000 59,000 Note that the sample variance becomes c² times its original value if each observation in the sample is multiplied by c and unchanged if a constant is added to or subtracted from each value in the sample. Use these facts to find the standard deviation of this set of data by first dividing each observation by 1000 and then subtracting 50. For the data set that results from dividing each observation by 1000 and then subtracting 50, the variance is (Round to three decimal places as needed.) all Check answer
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