Math Problem Statement

You score 88, 95, 88, 91, 91, and 88 on your test scores in English.

Find the statistical information below. Round your answer to the nearest tenth.

Mean: type your answer...

Median: type your answer...

Mode: type your answer...

Solution

Let's calculate the statistical information based on the test scores provided: 88, 95, 88, 91, 91, and 88.

1. Mean:

The mean is the average of the numbers, calculated by summing them up and then dividing by the count of numbers.

Mean=88+95+88+91+91+886=541690.2\text{Mean} = \frac{88 + 95 + 88 + 91 + 91 + 88}{6} = \frac{541}{6} \approx 90.2

Mean: 90.2

2. Median:

To find the median, we arrange the numbers in ascending order: 88, 88, 88, 91, 91, 95. Since there is an even number of scores, the median is the average of the two middle values.

Median=88+912=1792=89.5\text{Median} = \frac{88 + 91}{2} = \frac{179}{2} = 89.5

Median: 89.5

3. Mode:

The mode is the number that appears most frequently. Here, the score 88 appears three times, more often than the others.

Mode: 88

Final answers:

  • Mean: 90.2
  • Median: 89.5
  • Mode: 88

Would you like more details or have any questions about this solution?

Here are 5 related questions to expand on this information:

  1. How do you find the range of a set of numbers?
  2. What is the difference between mean, median, and mode?
  3. How does an outlier affect the mean and median?
  4. Can there be more than one mode in a data set?
  5. What are the quartiles of a data set and how are they calculated?

Tip: Remember that while the mean is sensitive to extreme values (outliers), the median is more robust and provides a better measure of central tendency when outliers are present.

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Math Problem Analysis

Mathematical Concepts

Statistics
Measures of Central Tendency

Formulas

Mean = (Sum of values) / (Number of values)
Median for an even number of values = (Sum of two middle values) / 2
Mode = Most frequent value in a set

Theorems

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Suitable Grade Level

Grades 6-8