Math Problem Statement

The grades for 30 students on the most recent exam are given in the data table below: Round your answer to 2 decimal places as needed 70 90 70 60 90 60 90 70 80 60 90 70 90 60 90 80 70 90 90 90 90 70 70 90 90 80 80 80 80 90 What is the mean score for the exam? What is the median score for the exam? What is the standard deviation for the exam?

Solution

The results for the exam scores are as follows:

  1. Mean score: 79.33
  2. Median score: 80.00
  3. Standard deviation: 10.93

Would you like further details on any of these calculations or have any questions?

Here are 5 related questions for practice:

  1. What does the median score indicate about the distribution of the data?
  2. How would the mean and standard deviation change if all scores were increased by 5 points?
  3. What percentage of students scored above the mean?
  4. How does the standard deviation help in understanding the spread of scores?
  5. What is the range of the scores in this data set?

Tip: The median is less affected by extreme values, making it useful for understanding the central tendency of skewed data.

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Math Problem Analysis

Mathematical Concepts

Descriptive Statistics
Mean
Median
Standard Deviation

Formulas

Mean = (Σx) / N
Median: Middle value of ordered data set
Standard Deviation: sqrt((Σ(x - μ)^2) / N)

Theorems

Measures of Central Tendency
Measure of Dispersion

Suitable Grade Level

Grades 9-12

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