# Statistics Essay

1469 Words May 16th, 2016 6 Pages
Data Visually and Through Numbers
Data File 2 - Chapter Three (Show all your work) 1) A teacher asked each of her students how many novels they had read in the previous six months. The results are shown below.

0 1 5 4 2 1 3 2
2 7 2 5 0 1 0 1
1 2 6 0 2 3 1 2
7 1 4 2 3 1 7 0
0 2 1 1 0 6 1 7
Construct a frequency table for the number of novels read.
Solution:
Number of novels read | Frequency | 0 | 7 | 1 | 11 | 2 | 9 | 3 | 3 | 4 | 2 | 5 | 2 | 6 | 2 | 7 | 4 |

2) The frequency table shows the weights in ounces of 30 stones
Weight (oz) Number of Stones

1.2-1.6 5
1.7-2.1 2
2.2-2.6 5
2.7-3.1 5 3.2-3.6.1.1 13

Use the above information to construct a cumulative frequency
10, 12, 33, 25, 22, 18, 19, 31, 28, 22, 13, 15, 15, 20, 21, 35, 32
Solution:
1 | 0, 2, 3, 5, 5, 8, 9 | 2 | 0,1, 2, 2, 5, 8, | 3 | 1, 2, 3, 5 |

Chapter Four (Show all your work) 1) The students of Hugh Logan’s math class took the Scholastic Aptitude Test. Their math scores are shown below. Find the mean score.

552 593 358 352 537
349 357 596 470 482
Solution: The mean score of the students of Hugh Logan's math class is 552 + 593 + 358 + 352 + 537 + 349 + 357 + 596 + 470 + 482 = 4646 10 10 = 46.46
The mean score is 46.46 2) The salaries of ten randomly selected physicians are shown below. Find the median salary.

\$105,000 \$149,000 \$163,000 \$214,000 \$225,000
\$116,000 \$111,000 \$791,000 \$240,000 \$178,000
Solution: To find the median, we first sort the data in ascending order:
\$105,000, \$111,000, \$116,000, \$149,000, \$163,000, \$178,000, \$214,000, \$225,000, \$240,000, \$791,000
Because there are ten salaries (an even number), there are two values in the middle of the list: \$163,000 and \$178,000. Therefore the median lies halfway between these two values. The median is calculated by adding them and dividing by 2: