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We have total cholesterol for a sample of 35 people. The results are summarized in the stem-and-leaf plot below.

INSTRUCTIONS TO CANDIDATES
ANSWER ALL QUESTIONS

The age (in months) at which a child begins using a certain type of sentence structure is recorded for 60 children.  The frequencies of four categories are given in the table below.

       Age (months) midpoint frequency

24 - 29 26.5 15

30 - 35 32.5   8

36 - 41 38.5 13

42 - 47 44.5 24

 

1. If one of these 60 children is selected at random, find the probability that the age of that child is:

 

a) at most 41 months

 

 

b) no less than 36 months

c) between 30 and 41 months (inclusive) 

2.  We have total cholesterol for a sample of 35 people.  The results are summarized in the stem-and-leaf plot below.

  25  |  3

  24  |  4

  23  |  4  7

  22  |  3  5

  21  |  0  1  3

  20  |  1  3  8  8  8  9

  19  |  0  4  6  7  9  9  9  9  9

  18  |  0  1  2  7  8  9  9  9  9  9  9

 

a) The minimum value in this data set is 180, and the maximum is 253.  What is the median?

b) This data set is best described as: (select one)

i) approximately symmetric

ii) positively skewed

iii) negatively skewed

c) What is the interquartile range (difference between the upper and lower quartiles)?  Show all of your work!

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