Math Problem Statement

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

Click on the Data button shown below to display the data. Data

Cholesterol Level 236 318 294 226 276 280 186 270 294 210 142 206 360 278 244 266 224 242 282 220

(a) Find and interpret the mean. Put the answer in the first box and the correct units in the second box.

Mean =

Interpret:

50% of patients had cholesterol level less than this two days after they had a heart attack, and 50% had more. The average cholesterol level of patients two days after they had a heart attack. The average cholesterol level of patients admitted to a hospital. The most frequent cholesterol level of patients two days after they had a heart attack.

(b) Find and interpret the median. Put the answer in the first box and the correct units in the second box.

Median =

Interpret:

50% of patients had cholesterol level less than this two days after they had a heart attack, and 50% had more. The average cholesterol level of patients admitted to a hospital. The average cholesterol level of patients two days after they had a heart attack. The most frequent cholesterol level of patients two days after they had a heart attack.

(c) Find and interpret the mode. Put the answer in the first box and the correct units in the second box.

Mode =

Interpret:

The average cholesterol level of patients two days after they had a heart attack. 50% of patients had cholesterol level less than this two days after they had a heart attack, and 50% had more. The average cholesterol level of patients admitted to a hospital. The most frequent cholesterol level of patients two days after they had a heart attack. Submit Question Question 3

Solution

Here are the results for your cholesterol data analysis:

(a) Mean:

  • Mean = 252.7 mg/dL
  • Interpretation: The average cholesterol level of patients two days after they had a heart attack.

(b) Median:

  • Median = 255.0 mg/dL
  • Interpretation: 50% of patients had a cholesterol level less than 255 mg/dL two days after they had a heart attack, and 50% had more.

(c) Mode:

  • Mode = 294 mg/dL
  • Interpretation: The most frequent cholesterol level of patients two days after they had a heart attack.

Would you like further details or have any questions?

5 Related Questions:

  1. How does the mean compare to the median in this data set?
  2. Why is the mode important in understanding cholesterol distribution?
  3. How could outliers affect the mean cholesterol level in this sample?
  4. What would be the effect of adding another data point to this dataset?
  5. How do mean and median values help in interpreting medical data?

Tip:

For skewed data, the median often provides a better measure of central tendency than the mean.

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Math Problem Analysis

Mathematical Concepts

Descriptive Statistics
Measures of Central Tendency

Formulas

Mean = (Sum of values) / (Number of values)
Median = Middle value in an ordered data set
Mode = Most frequent value in the data set

Theorems

Central Tendency Theorem

Suitable Grade Level

Grades 9-12

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