Question

Pulse rates Here are data on the resting pulse rates (in beats per minute) of 19 middle school students:

(a) Calculate the mean. Show your work.

(b) The student with a 120 pulse rate has a medical issue. Find the mean pulse rate for the other 18 students. What property of the mean does this illustrate?

Short answer

Part (a) 81.2105

Part (b) 79.0556, non-resistant property

Step-by-step solution

Part (a) Step 1. Given information.

The given data is shown below:

Part (a) Step 2. Find the mean.

$$\begin{gathered} n=19 \\ \overline{x}=\frac{\sum _{i=1}^n{x}_i}{n} \\ =\frac{\left(71+104+76+88+78+71+68+86+70+90 \\ +74+76+69+68+88+96+68+82+120\right)}{19} \\ =\frac{1543}{19} \\ \approx 81.2105 \end{gathered}$$

The mean is 81.205 beats per minute.

Part (b) Step 1. Find the mean pulse rate for the other 18 students.

It is given that The student with a 120 pulse rate has a medical issue. So we have to calculate the mean of the other 18 students.

$$\begin{gathered} n=18 \\ \overline{x}=\frac{\sum _{i=1}^n{x}_i}{n} \\ =\frac{\left(71+104+76+88+78+71+68+86+70+90 \\ +74+76+69+68+88+96+68+82\right)}{19} \\ =\frac{1423}{18} \\ \approx 79.0556 \end{gathered}$$

This shows the property of mean named non-resistant property because the mean is influenced by the student with a 120pulse rate per minute.