App 40S - Handin In Assignment - Maximum marks – 20

SHOW ALL WORK on loose-leaf.

  1. Read the accompanying newspaper article. Prove, mathematically, that Professor Rump is correct in saying that there is a 1 in 1000 chance of those numbers coming up in the lottery. (2)
  1. Find the mean, median, mode and standard deviation of this data. (4)

40 / 94 / 29 / 32 / 86 / 35 / 66 / 0 / 25 / 94
3 / 27 / 19 / 82 / 46 / 93 / 32 / 5 / 42 / 30
  1. Find the mean, median, mode and standard deviation of this frequency table. (4)

score / frequency
10 / 3
12 / 6
14 / 4
16 / 9
18 / 12
20 / 0
22 / 2
24 / 5
  1. Make a frequency table from this data. Find the mean, median, mode, and standard deviation.

3 / 1 / 10 / 8 / 10 / 8 / 5 / 0 / 9 / 14
8 / 7 / 5 / 2 / 11 / 0 / 0 / 0 / 1 / 5
2 / 11 / 11 / 0 / 8 / 10 / 9 / 8 / 7 / 14
6 / 6 / 10 / 4 / 6 / 5 / 9 / 12 / 6 / 0
  1. Which of the following histograms show binomial distributions? Explain. (4)

  1. A student has a 20 question, multiple-choice test. Each question has 5 possible answers. Use the BINOMPDF command to determine the chances of a student getting exactly 15 correct answers. What are the chances of the student getting 17 or more correct?
  1. Identify which of the following has the largest standard deviation. Which has the smallest standard deviation? (2)
  1. A basketball player makes 85% of her free throws. In a particular game, she has 5 free throws. Use your calculator to create a binomial distribution for the number of free throws that she makes and then complete the table. (4)

Number of free throws made / probability
0
1
2
3
4
5