Question

cholesterol levels (mg/dl) were collected from a random sample of patients two days after they had a heart attack.

for the data shown above, find the following. round the answer in the first box to 2 decimal places. put the correct units in the second box.

a. find the mean:

b. find the median:

c. find the mode:

Explanation:

Step1: Calculate the sum of data

Sum \( S=186 + 280+270+266+226+288+220+276+294+206+242+234+236+142+360+160+244+282+288+278\)
\(S = 4918\)

Step2: Calculate the mean

Number of data \(n = 20\)
Mean \(\bar{x}=\frac{S}{n}=\frac{4918}{20}=245.9\)

Step3: Arrange data in ascending order

\(142,160,186,206,220,226,234,236,242,244,266,270,276,278,280,282,288,288,294,360\)

Step4: Calculate the median

Since \(n = 20\) (even), median \(M=\frac{\text{10th term}+\text{11th term}}{2}=\frac{244 + 266}{2}=255\)

Step5: Find the mode

The mode is the value that appears most frequently. Here, \(288\) appears twice, and other values appear only once.

Answer:

a. \(245.9\) mg/dL
b. \(255\) mg/dL
c. \(288\) mg/dL