Mathematics Assignment-4

Mathematics Assignment-4

SEE ATTACHMENT

.      (For Questions 1, 2, 3, 4 & 5) For 12 pages randomly selected from War and Peace  by Leo Tolstoy, the data set lists the mean number of words per sentence, the mean number of characters per word.

Words/sentence

Characters/word

20.6

4.3

28.0

4.5

12.0

4.5

11.5

4.5

17.4

4.5

19.7

4.8

20.3

4.3

17.8

4.2

22.1

4.7

31.4

4.3

18.3

4.4

11.7

4.5

1.  ( 15 points) Prepare a frequency distribution of words/sentence with a class width of 3 words and another with class width of 4 words.

2.  (12 points) Construct a histogram of words/sentence with a class width of 3words and another with a class width of 4 words.

3.  (8 points) Give a 5-number summary of the words/sentence (minimum, 1-st quartile, 2-nd quartile (median), 3-rd quartile, and maximum), and construct the corresponding boxplot.
 

4.  (8 points) Construct a dotplot of characters/word.

5. (10 points) Find sample mean, median and mode for characters/word.

(For Questions  6, 7, 8, 9 & 10)  The National Highway Traffic Safety Administration conducted crash tests of child booster seats for cars. Listed below are results from those tests, with the measurements given in hic (standardhead injury condition units). According to the safety requirement, the hic measurement should be less than 1000.

776, 649, 1210, 546, 431, 612

6.  (17 points) What is the variance in hic?

7.  (8 points) What is the standard deviation in hic?

8.  (8 points)  Find z-score for hic 1210.

9. (7 points)  Find z-score for hic 612.

10. (7 points) Are hic 1210 and 612 unusual values? Justify your answer.