Use the table below to find the standard deviation of the following data set: 17,17,18,38,38,4617,17,18,38,38,46       XX X−x¯X−x¯ (X−x¯)2(X−x¯)2 17     17     18     38     38     46             SUMSUM     SUMn−1SUMn−1     SUMn−1−−−−√SUMn−1

The following table presents the time taken to review articles that were submitted for publication to a particular journal during a recent year. A few articles took longer than  6 months to review; these are omitted from the table. Consider the data to be a population. Time (Months) Number of Articles −00.9 45 −1.01.9 18 −2.02.9 16 −3.03.9 17 −4.04.9 12 −5.05.9 13     (a) Approximate the variance of the times. Round the answer to at least two decimal places. The variance is    .(b) Approximate the standard deviation of the times. Round the answer to at least two decimal places.The standard deviation is    .

The following data are the distances from the workplace (in miles) for the  5 employees of a small business. 14, 3, 8, 13, 2 Assuming that these distances constitute an entire population, find the standard deviation of the population. Round your answer to two decimal places.

The following table gives the math SAT scores for some recent selected years. Find the average, variance, and standard deviation of each. (Round your answers to four decimal places.) Males 500 502 498 504 497   Females 446 453 450 454 451   Males: mean     variance     standard deviation     Females: mean     variance     standard deviation     Which group is varying more? femalesmales    cannot be determined

In order to use the defining formula for variance, we must calculate  (x − x)2  for each data value in the data set  14, 18, 22, 26, 33.  Use the values in the data set and the mean  x = 22.6  to fill out the following table. x 14 18 22 26 33 x 22.6 22.6 22.6 22.6 22.6 x − x 14 − 22.6 = −8.6 18 − 22.6 = __________ 22 − 22.6 = −0.6 26 − 22.6 = _________ 33 − 22.6 = 10.4 (x − x)2 73.96 __________ 0.36 ________ 108.16

Use the table below to find the standard deviation of the following data set: If you need to enter a decimal, use at least three decimal places of accuracy. 11, 22, 22, 23, 45, 48 X X —ӕ (X – a)² 11 22 22 23 45 48 SUM SUM n-1 SUM V п-1