The running times of a class of ten gym students are 8 min, 5 min, 10 min, 13 mi

Question

The running times of a class of ten gym students are 8 min, 5 min, 10 min, 13 min, 7 min, 7 min, 12 min, 13 min, 10 min, and 15 min. Dominic was told that his running time is at the 25^th percentile for the class. What is Dominic's running time? 5 min 7 min 10 min 12 min Megan would like to determine what percent of trees growing in a park are cypress trees. She went to the swampy areas of the park and randomly sampled 150 trees. Which statement explains why Megan's sample may be biased? Megan should have only sampled trees that were growing next to the river. The trees in the swampy areas may not be representative of all trees in the park. The trees in the park may not be representative of trees in this region of the country. The trees in the swampy areas may not be representative of the trees growing in Megan's state.

Explanation / Answer

12. Running times : 8min, 5min, 10min, 13min, 7min, 7min, 12min, 13min, 10min, 15min.

For finding the 25% percentile, First order the data:

5min,7min, 7min,8min, 10min,10min,12min,13min,13min,15min.

25% pecentile is number of data points x 0.25 data point = 10x.25 = 2.5 data point. ie. average of 2 and 3 datapoint.

2nd data point =7

3rd data point =7

25% percentile = (7+7)/2 =7.

Answer : (2). 7

13.

Answer : The trees in the swampy areas may not be representative of all trees in the park.

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