In a study that assessed pulse rate at rest in different age groups, a researcher manually collected the information on 25 participants. The ages and the pulse values are presented in the below table.

• Re-arrange the data in another table while presenting mean pulse rate at rest by age categories. Every age category must include a range of 5 years only, for example: 5-9, 10-14, etc. The categories must be mutually exclusive.
• Add a third column to present the relative frequencies.
• What is the proportion of males and females in this sample?

Show your calculations.

Age of individual participants	Sex	Pulse rate of individual participants
19	M	64
10	M	85
13	M	76
21	F	69
40	F	90
11	F	54
20	F	59
44	M	62
17	M	75
15	M	84
43	M	80
50	missing	110
49	missing	68
59	F	94
16	F	64
27	F	63
33	missing	73
25	M	79
39	M	88
35	F	80
19	F	80
11	M	68
43	F	69
15	M	79
11.5	missing	71

2. Suggest two different graphs that can be used to display the data in Question 1. Explain your answer.

3. A researcher decided to investigate gender differences in resting pulse rate (bpm). She collected data on 9 male and 9 female individuals. The resting pulse rates (bpm) of these individuals are listed as follows:

Males: 79, 90, 75, 60, 65, 79, 54, 98, 49

Females: 66, 59, 79, 95, 72, 55, 64, 60, 65

In answering the following, show your calculations.

1. Calculate the arithmetic mean pulse for each gender separately, and for both genders together
2. List the median pulse for each gender separately, and for both genders together.
3. What are the degrees of freedom associated with each gender separately and with both genders together?
4. Calculate the standard deviation in each gender separately.
5. Discuss what the measures calculated in "d" indicate for differences in gender.
6. Calculate the range and the interquartile range for both genders together.