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\\ e ..z score to P Value Calcu \\ D Appendix z score perc..-Course Home / 0 Tak

ID: 3354263 • Letter: #

Question

e ..z score to P Value Calcu D Appendix z score perc..-Course Home / 0 Take a Test najanned ta × Secure | https://www.mathxl.com/Student/PlayerTest.aspx?testld-176152984&centerwin-yes; : Apps P N o N @Course HomeZScore top Calcula. D z score % Spring 2018 STA2023 Online 24159 najanned tavara | 1/29/18 12:39 PM Quiz: Unit 1 Review Quiz Time Remaining: 01:33:13 Subnit Quiz This Question: 13 pts 7 of 17 (6 omplete: This Quiz: 70 pts possible A center for eduraton staistirs repotedaveage matheatics achievement scores for eighth graders in 22 nations Te aveage sces tr each natioegen beow 229 344 352 350 372 300 395 410 419 458 461 47 400 496 507 507 515 521 523 550 552 590 a) Find the 5-nmher summary, the lOR, tne mean, and the standard deviatianof tnese natonal averages The 5-number sunmiary is (Ue ascending odes Type cxact answers) and T he aR or the distnbution is 135 (lype an exct arswer) The mean of the distnbutan is | (Round to one decmal place as needed The standard devation ofthe detribulin is Round to one decimal place as needed.) b) Determine if the distribution of scores is symmetric or skewed end describe the middle 50% of the scores. Is lhe distribution urave'age rreth achievemenl sures symmel'ic u skewed? O A. The dstrbution is skewed, because the mean and median are not appoximately eqal O B. The distribution is symmetric, because the mean and medan are not approximately equal. O C The dsitu on s symime n, because he mean and rme u an approx! nals y equal at d he quarlies we a Describ th mddle 50% of th scores roxmals y UtB same dis antB rom he mean. The middle 50%) of the scores fall between ana c) What percentage or the scores are less than 3807 % d) What percentage of the scores are less than 515L% Click to sclccl your answor(s). 1240 PM E 1/29/2018

Explanation / Answer

Solution:

(a) Five number summary of given data:

(b) A: the distribution is skewed because mean and median is not equal.

The middle of 50% lie between 464 to 590.

(c) Percentage of score less than 380 is 0.23 %.

(d) Percentage of score less than 515 is 0.73 %.

Calculation done through Excel given as:

Minimum 229 1st Quartile 383.75 Median 464 3rd Quartile 513 Maximum 590