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Take a Test- andrea martin-Google Chrome https://www.mathxLcom/Student/PlayerTest.aspx?testld-1627204 148centerwansyes Test: Chapter 2 Post-Test This Question: 1 pt Compare the 0 three data sets on the right 345678910 11 34567 8910 11 Data value 34567891011 Data value Data value d25 d36 (a) Which data set has the greatest sample standard deviation? O A. Data set (ii), because it has more entries that are farther away from the mean. O B. Data set (ii), because its data have more variability. O C. Data set (i), because it contains the greater number of entries. Which data set has the least sample standard deviation? O A. Data set (0), because it has more entries that are close to the mean. B. Data set (iii), because it has no entries near the mean C. Data set (ii) because it has more entries near the mean than far away from it. (b) How are the data sets the same? How do they differ? 0 A. The three data sets have the same range but have different means O B. The three data sets have the same standard deviations but have different ranges C. The three data sets have the same range and mean but have different standard deviations D. The three data sets have the same mean but have different stan ta sets have the same mean but have different standard deviations

Explanation / Answer

Ans:

a)standard deviation is measure of root mean squared deviation from the mean,so it will be larger if more entries are farther from mean.

out of these 3 data sets,Data set iii has more entries that are farther away from the mean

Hence,Option A is correct i.e. Data set iii,because it has more entries that are farther away from the mean.

b)Option A is correct i.e. Data set i,because it has more entries that are close to the mean.

c)Range of 3 data sets are not same,as data set i have narrow range than ii and iii data sets.

Standard deviation of 3 data sets are not same.

hence,we are left with only correct option D i.e. the three data sets have the same mean but have different standard deviations.

Option D is correct.

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