7 use the following raw data set to make you own reasearch q

7. use the following raw data set to make you own reasearch question or study

a ) State your research question or research objective.

b) Describe the overall data set.

c) Identify the variables and indicate the variable type in the table below.

Variable

Type of Variable

d) Calculate the mean, median, and mode for each variable in the data set. List this information below.

e) Calculate the Standard Deviation for each variable in the data set. List this information below.

f) Based on the data set, construct one frequency distribution table. Insert this table below.

g) Are there any outliers in the data set? Explain how you were able to determine the presence or absence of outliers.

Solution

a)

Since we are comparing the age of males and their puulse rate, the objective of the research is to determine if there is a relationship between the pulse rate and the age of the person and how does the pulse rate change with the age. How would it impact the health of the individual in general.

b)

The overall data set has 40 distinct observations of males aged between 15 to 75 years and their pulse rates are measured. The standard pulse rate in the humans is 72, but we see a huge variation in the values ranging from 56 to 90

c)

The variables are

AGE: Independent variable

PULSE : Dependent Variable

d)

f)

Frequency distribution of the Pulse Rate is given below,

g)

To check the presece of outliers, multiple statistical techniques can be used.

I am using Iglewicz and Hoaglin method.

Compute modified z- score = 0.6745 ( x - median) / (Median absolute deviation)

Median absolute deviation = median ( | Yi -Ymed | )

From calculations:

No Z-score value is above 3.5. Hence there are no outliers in the data.

Note: WE got Median Absolute devioation as 6, which is nothing but the median of the 2nd column.

Ask if you have any doubts.