Question

 

Our pulse rate is extremely important, because it is difficult to function without it! Physicians use pulse rates to assess the health of patients. A pulse rate that is abnormally high or low suggests that there might be some medical issue; for example, a pulse rate that is too high might indicate that the patient has an infection or is dehydrated.

Consider pulse rate measurements (in beats per minute) obtained from a sample of 5 females as follows:

74 68 89 62 72

Answer the following Questions:

1. The mean pulse rate of the data is

1. 74
2. 75
3. 73
4. 72

2. The standard deviation of the data is

1. 10.10
2. 10.01
3. 10.5
4. 10.6

3. Using the range rule of thumb ,the minimum “usual” pulse rate is

1. 53.98
2. 52.98
3. 54.98
4. 55.98

4. Using the range rule of thumb ,the maximum “usual” pulse rate is

1. 92.02
2. 93.02
3. 94.02
4. 95.02

Answer 1

Solution:

Given that,

62, 68, 72, 74, 89

n = 5

a )The mean of sample is   

x/n =  (62 + 68 + 72 + 74 + 89 / 5)

   = 365/ 5

= 73

The sample mean is = 73

b) Sample standard deviation is= s

s = √ 1/(n-1)(x - )²

⁼  √1/(5-1) (62 - 73 )²+ (68 - 73 )²+ (72 - 73 )²+ (74 - 73)² +( 89 - 73 )²

= √ 1/4 (121 + 25 + 1 + 1 + 256)

= √ 404 /4

= √ 101

= 10.01

The sample standard deviation is = 10.01

c) minimum value = - 2 * s

minimum value = 73 - 2 * 10.02

minimum value = 52.98

c) maximum value = + 2 * s

maximum value = 73 + 2 * 10.01

maximum value = 93.02