Module 5

Module 5

Question # 1

The weights in pounds of ten randomly-selected football players are: 245, 304, 310, 251, 195, 185, 230, 264, 315, and 196.

Find the median of these weights.

Solution

In probability theory and statistics, the median of a set of values ??(sample, population, probability distribution) is the value m such that the number of values ??all greater than or equal to m is the number of values m or less. Intuitively, we can say that the median is the midpoint of the set, it divides into two halves. This is a position characteristic of the series. We can determine a median for a set of non-numeric values as far as can choose a criterion scheduling of these values. The median for the given data set can be calculated by the following formula:

Median = (5th + 6th)/2

Median = (245 + 251)/2

Median

248

Question # 2

The price in dollars of a gallon of gasoline at the end of each month is recorded for one year. The results are:

               

Find the midrange of these prices.

Solution

The midrange for the given data set can be obtained by the formula given; it is the average of minimum and maximum values obtained from the data set.

Minimum Value = 1.19

Maximum Value = 1.85

Midrange = (1.19 + 1.85)/2

Midrange

1.52

Question # 3

To get a C in history, Nandan must average 74 on four tests. Scores on the first three tests were 69, 75, and 60. What is the lowest score that Nandan can get on the last test and still receive a C?

Solution

Data Set 1 = 69

Data Set 2 = 75

Data Set 3 = 60

Data Set 4 = X

Average Score = 74

In order to solve this problem we must first multiply 74 by 4.

74 * 4 = 296

Now, by adding other three mentioned numbers that Nandan has scored and subtracting their sum by 296

69 + 75 + 60 = 204

Now subtracting 296 from 204

296 - 204 = 92

Nandan must score 92 marks to achieve a C grade in history exam.

Question # 4

The table below gives the total spectator attendance for various U.S. sports in 1997.

Determine to the nearest tenth the median of these attendance numbers.

Solution

To calculate the midrange of the data given, first of all data needs to be arranged in the ascending order. Median can be calculated by using following formula.

Median = (n + 1) / 2

N = 7

Median = (7 + 1) / 2

Median = 4th number

This shows that median is the 4th number. Therefore,

Median

21.7

Question No. 5

State College's baseball team had the following scores in their last 8 games:  14, 5, 6, 0, 6, 9, 6, and 15. Determine to the nearest tenth the mean of these scores.

Solution

Mean represents the average score of the data that can be calculated using following formula.

Mean = Sum of all numbers / Total number of observations

Mean = 14 + 5 + 6 + 0 + 6 + 9 + 6 + 15

Total number of observations = 8

Mean = (14 + 5 + 6 + 0 + 6 + 9 + 6 + 15) / 8

Mean = 7.6 ~ 8

Average score of a game is State college's baseball team is 8...