age at which a child begins using a certain type of sentence structure is recorded for 40 children.

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 40 children. The frequencies of four categories are given in the table below.

Age (months) frequency

24 - 29 4

30 - 35 8

36 - 41 13

42 - 47 15

1. If one of these 40 children is selected at random, find the probability that the age of that child is:

a) at most 35 months

b) at least 42 months

c) between 30 and 41 months (inclusive)

2. Using this distribution, what is the mean age at which children begin using this type of sentence structure?

3. We have total cholesterol for a sample of 21 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

19 | 0 4 6 7 9

18 | 0 1 2 7

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)?

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