1. The Highway Patrol, using radar, checked the speeds (in mph) of 30 passing mo

Question

1. The Highway Patrol, using radar, checked the speeds (in mph) of 30 passing motorists at a checkpoint. results are listed below C2 points) 32 33 35 35 36 36 36 37 38 38 38 39 40 40 41 41 41 42 42 43 43 44 45 47 48 49 50 50 50 51 a) Find Q, the median, and Qa b) The data value 49 represents the percentile c) Construct a stem-plot for the data. 2. Find the mean, variance, and standard deviation for the given sample data. Round y more decimal place than is present in the original data. 18 18 18 9 15 5 10 5 15

Explanation / Answer

1. a) Number of terms = 30 (Even)

Q1 = Median of first 15 terms = 8th term = 37

Median = Average of 15th and 16th term = (41 + 41)/2 = 41

Q3 = Median of last 15 terms = 23rd term = 45

b) Data values less than 49 = 25

So,

49 represents the (25/30) i.e. 83rd percentile.

c) Stem and Leaf plot:

Stem Leaf

3 2 3 5 5 6 6 6 7 8 8 8 9

4 0 0 1 1 1 2 2 3 3 4 5 7 8 9

5 0 0 0 1

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