This lést: 14 pts possiEQuestion HelpFour siblings are 1, 3, 8, and 9 years of age. Complete parts (a) through (e) below.(Round to the nearest tenth as needed.)d. Without doing any calculation, indicate whether the standard deviation of the ages in 15 years will be larger, smaller, or the same as the standard deviation of theircurrent ages. Choose the correct answer below.O A. The standard deviation will be larger.O B. The standard deviation will be smaller.O C. The standard deviation will be the same.O D. The standard deviation cannot be approximated without calculations.Checkyour answer by calculating the standard deviation in 15 years.years(Round to the nearest tenth as needed.)e. Adding 15 years to each of the siblings' ages had different effects on the mean and the standard deviation. Why did one of these values change while the otherremained unchanged? How does adding the same value to each number in a data set affect the mean and standard deviation? Choose the correct answer below.O A. By adding 15 years to each age, the average value of the ages increases by 15. Because it increases the mean, each age is farther from the mean, resultingin an increased standard deviation.B. By adding 15 years to each age, the average value of the ages decreases and the difference in the ages remains constant; so the mean decreases by 15 andthe standard deviation remains constant.Vi(,1)MoreClick to select your answer(s).628FEB24étvW... This Test: 14 pts possibQuestion HelpFour siblings are 1, 3, 8, and 9 years of age. Complete parts (a) through (e) below.O B.The standara deviation will be smaller.C. The standard deviation will be the same.O D. The standard deviation cannot be approximated without calculations.Check your answer by calculating the standard deviation in 15 years.years(Round to the nearest tenth as needed.)e. Adding 15 years to each of the siblings' ages had different effects on the mean and the standard deviation. Why did one of these values change while the otherremained unchanged? How does adding the same value to each number in a data set affect the mean and standard deviation? Choose the correct answer below.O A. By adding 15 years to each age, the average value of the ages increases by 15. Because it increases the mean, each age is farther from the mean, resultingin an increased standard deviation.O B. By adding 15 years to each age, the average value of the ages decreases and the difference in the ages remains constant; so the mean decreases by 15 andthe standard deviation remains constant.O C. By adding 15 years to each age, the average value of the ages increases and the difference in the ages remains constant; so the mean increases by 15 andthe standard deviation remains constant.O D. By adding 15 years to each age, the mean and the standard deviation remain the same, since the difference in the ages remains constant.O E. By adding 15 years to each age, the average value of the ages decreases by 15. Because it decreases the mean, the difference between the mean and eachage is less significant, resulting in a decreased standard deviation.Vi(1,1)MoreClick to select your answer(s).628FEB24étvW

Name: This lést: 14 pts possiEQuestion HelpFour siblings are 1, 3, 8, and 9
Uploaded: 2024-03-20T07:07:12.000Z
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Description: This lést: 14 pts possiEQuestion HelpFour siblings are 1, 3, 8, and 9 years of age. Complete parts (a) through (e) below.(Round to the nearest tenth as needed.)d. Without doing any calculation, indicate whether the standard deviation of the ages in