Question: Please answer A and B A center for education statistics reported average mathematics achievement scores for eighth graders in 22 nations. The average scores for
Please answer A and B


A center for education statistics reported average mathematics achievement scores for eighth graders in 22 nations. The average scores for each nation are given below. 264 341 3-43 332 33-5 396 414 419 422 425 42? 429 452 456 469 4:14 48? 5'19 529 53? 550 563 % a} Find the 5number summary, the IQR1 the mean, and the standard deviation ofthese national averages. The 5number summary is , , I, , and I (Use ascending order. Type exact answers.) The IQR of the distribution is E. (Type an exact answer.) The mean of the distribution is D (Round to one decimal place as needed.) The standard deviation of the distribution is D. (Round to one decimal place as needed.) b} Determine if the distribution of scores is symmetric or skewed and describe the middle 50% of the scores. Is the distribution of average math achievement scores symmetric or skewed? O A. The distribution is symmetricr because the mean and median are not approximame equal. 0 B. The distribution is symmetricr because the mean and median are approximately equal and the quartiles are approximately the same distance from the mean. 0 C. The distribution is skewed, because the mean and median are not approximately equal. Describe the middle 50% of the scores. Describe the middle 50% of the scores. The middle 50% of the scores fall between and
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