Math project.

Running Head: Math 1

Math

Math

Student’s Name

Institutional Affiliation

Math

Directions:

Your population is thriving on you island. The data you have collected now needs to be displayed and analyzed. Use the charts you created in the probability portion in weeks 1-3 to complete the table below. Round to two decimal places if necessary

Births

Mean	7.3
Median	7
Mode	6&7
Range	3
Standard deviation	1.1

Is your standard deviation for a population or a sample?

· The standard deviation is calculated on a sample of the whole population since it is only specific to a certain age limit of 20-39 years.

Create a box and whisker plot of your data.

Min = 6, Q1=6, Q2= 7, Q3= 8, max =9

Indentify the five number summaries and the interquartile range.

The data is.

6, 6, 7, 8, 8, 6, 9, 7, 7, 9 total of 73

The mean is 73 divide by 10 = 7.3

Arranging in descending order

6, 6, 6, 7, 7, 7, 8, 8, 9, 9

Find the median.

7+7= 14 divide 2 = 7= Q2

Split the data into two halves

1st half- 6, 6, 6, 7, 7 its median is 6= Q1

2nd half- 7, 8, 8, 9, 9 its median is 8= Q3

The maximum value is 9 = Q4

Minimum value is 6

The range is 9-6= 3

Five number summaries are.

Min = 6, Q1=6, Q2= 7, Q3= 8, max =9

Interquartile range is Q3-Q1… 8-6= 2

Create a standard normal curve using your mean and standard deviation. Label the axes for up to four standard deviations on both sides of the curve.

(a) Using your curve, what is the probability that the number of births is less than two?

P(x<2)

P=1-pnorm(2,7.3,1.1)=

(b) Using your curve, what is the probability that the number of births is more than one?

P(x>1)

P=1-pnorm(1,7.3,1.1)=