Home/Mathematics/A set of 10 measurements consists of the values 7, 4, 5, 8, 3, 4, 6, 7, 3, 5. USE SALT (a) Use the range approximation to estimate the value of s for this set. (HINT: Use the table below. Round your answer to four decimal places) Number of Expected Ratio Measurements of Range to s 5 2.5 10 3 25 4 (b) Use your calculator to find the actual value of (Round your answer to four decimal places) (c) Draw a dotplot of this dataset 2.0 1.5 1,0 . 2.01 1.5 1.0 Measurements 2 4 Measurements 6 8 2 6 2.0 1.5 1.0 2.0 1.5 1.0 Measurements Measurements 2 2 Are the data mound-shaped? Yes No (d) Can you use Tchebysheff's Theorem to describe this data set? Why or why not? Yes, because Tchebytheft's Theorem can be used with any data set O es, because the data set is mound shaped Yes, because there are at least 10 measurements No, because the data set is not mound-shaped No, because the data set is mound-shaped () Can you use the Empirical Rule to describe this data set? Why or why not? Yes, because the Empirical Rule can be used with any data set Yes, because the data set is mound-shaped Yes, because there are at least 10 measurements No, because the data set is not mound-shaped No, because the data set is mound-shaped

Question Solved1 Answer A set of 10 measurements consists of the values 7, 4, 5, 8, 3, 4, 6, 7, 3, 5. USE SALT (a) Use the range approximation to estimate the value of s for this set. (HINT: Use the table below. Round your answer to four decimal places) Number of Expected Ratio Measurements of Range to s 5 2.5 10 3 25 4 (b) Use your calculator to find the actual value of (Round your answer to four decimal places) (c) Draw a dotplot of this dataset 2.0 1.5 1,0 . 2.01 1.5 1.0 Measurements 2 4 Measurements 6 8 2 6 2.0 1.5 1.0 2.0 1.5 1.0 Measurements Measurements 2 2 Are the data mound-shaped? Yes No (d) Can you use Tchebysheff's Theorem to describe this data set? Why or why not? Yes, because Tchebytheft's Theorem can be used with any data set O es, because the data set is mound shaped Yes, because there are at least 10 measurements No, because the data set is not mound-shaped No, because the data set is mound-shaped () Can you use the Empirical Rule to describe this data set? Why or why not? Yes, because the Empirical Rule can be used with any data set Yes, because the data set is mound-shaped Yes, because there are at least 10 measurements No, because the data set is not mound-shaped No, because the data set is mound-shaped

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Transcribed Image Text: A set of 10 measurements consists of the values 7, 4, 5, 8, 3, 4, 6, 7, 3, 5. USE SALT (a) Use the range approximation to estimate the value of s for this set. (HINT: Use the table below. Round your answer to four decimal places) Number of Expected Ratio Measurements of Range to s 5 2.5 10 3 25 4 (b) Use your calculator to find the actual value of (Round your answer to four decimal places) (c) Draw a dotplot of this dataset 2.0 1.5 1,0 . 2.01 1.5 1.0 Measurements 2 4 Measurements 6 8 2 6 2.0 1.5 1.0 2.0 1.5 1.0 Measurements Measurements 2 2 Are the data mound-shaped? Yes No (d) Can you use Tchebysheff's Theorem to describe this data set? Why or why not? Yes, because Tchebytheft's Theorem can be used with any data set O es, because the data set is mound shaped Yes, because there are at least 10 measurements No, because the data set is not mound-shaped No, because the data set is mound-shaped () Can you use the Empirical Rule to describe this data set? Why or why not? Yes, because the Empirical Rule can be used with any data set Yes, because the data set is mound-shaped Yes, because there are at least 10 measurements No, because the data set is not mound-shaped No, because the data set is mound-shaped
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Transcribed Image Text: A set of 10 measurements consists of the values 7, 4, 5, 8, 3, 4, 6, 7, 3, 5. USE SALT (a) Use the range approximation to estimate the value of s for this set. (HINT: Use the table below. Round your answer to four decimal places) Number of Expected Ratio Measurements of Range to s 5 2.5 10 3 25 4 (b) Use your calculator to find the actual value of (Round your answer to four decimal places) (c) Draw a dotplot of this dataset 2.0 1.5 1,0 . 2.01 1.5 1.0 Measurements 2 4 Measurements 6 8 2 6 2.0 1.5 1.0 2.0 1.5 1.0 Measurements Measurements 2 2 Are the data mound-shaped? Yes No (d) Can you use Tchebysheff's Theorem to describe this data set? Why or why not? Yes, because Tchebytheft's Theorem can be used with any data set O es, because the data set is mound shaped Yes, because there are at least 10 measurements No, because the data set is not mound-shaped No, because the data set is mound-shaped () Can you use the Empirical Rule to describe this data set? Why or why not? Yes, because the Empirical Rule can be used with any data set Yes, because the data set is mound-shaped Yes, because there are at least 10 measurements No, because the data set is not mound-shaped No, because the data set is mound-shaped
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C Correet Andwer)(D) Chebgschev's Iney rabisAns: (c) Left secar Row liragh is corvect){:[P(|x-mu| < k sigma) > 1-(1)/(k^(2))],[mu=E(x)=5.2","quad s=1.6667],[P(|x-5.2| < k(1.6667)) > 1-(1)/(k^(2))],[k=1","quad P(|x-5.2| < 1.6667) > 0" (alwagr) "],[k=2","quad kAvxPP(|x-5.2| < (2)(1.6602)],[=P(1.88 < x < 8.58) > 1-(1)/(2)=(3)/(4)]:}Actand Probatilas P(1.88 < x < 8.52)=1k=3quad P(∣x-5.21 < (3)(1.6667) > 1-(1)/(9)=8//9:}Acthar Probabibity:{:[P(5.2-5.001 < x < 5+5.001)],[=P(0 < x < 10)=1]:}(E) Empiricel Rule an far Normal on rourd thaped distritintion.a) range = max - min = 8-3 = 5&#160; Std deviation = range / 3.&#160; ( for 10 values ratio ,=3)&#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; = 5/3 = 1.6 ... See the full answer

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