Math Problem Statement

Assume that 5 random samples of five values are selected from a table of random numbers. The results follow. Each row represents a random sample.

9 8 6 0 4 0 0 8 5 8 7 4 2 4 8 1 9 9 7 0 2 6 1 9 6

Compute the mean of each sample.

Solution

To compute the mean of each sample, we will add up the values in each row and then divide by the number of values in that row (which is 5).

Sample 1:

9+8+6+0+4=279 + 8 + 6 + 0 + 4 = 27 Mean of Sample 1:
275=5.4\frac{27}{5} = 5.4

Sample 2:

0+0+8+5+8=210 + 0 + 8 + 5 + 8 = 21 Mean of Sample 2:
215=4.2\frac{21}{5} = 4.2

Sample 3:

7+4+2+4+8=257 + 4 + 2 + 4 + 8 = 25 Mean of Sample 3:
255=5.0\frac{25}{5} = 5.0

Sample 4:

1+9+9+7+0=261 + 9 + 9 + 7 + 0 = 26 Mean of Sample 4:
265=5.2\frac{26}{5} = 5.2

Sample 5:

2+6+1+9+6=242 + 6 + 1 + 9 + 6 = 24 Mean of Sample 5:
245=4.8\frac{24}{5} = 4.8

Summary of means:

  • Mean of Sample 1: 5.4
  • Mean of Sample 2: 4.2
  • Mean of Sample 3: 5.0
  • Mean of Sample 4: 5.2
  • Mean of Sample 5: 4.8

Would you like any further details on this, or have any specific questions?

Here are 5 related questions to explore:

  1. What is the overall mean of all 25 numbers combined?
  2. How does the range of each sample compare?
  3. What would be the median of each sample?
  4. How does the standard deviation of each sample vary?
  5. How would removing the highest value in each sample affect the mean?

Tip: When calculating means, rounding to one decimal place is generally acceptable unless you are asked for more precision.

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Math Problem Analysis

Mathematical Concepts

Statistics
Mean (Average)

Formulas

Mean = Sum of Values / Number of Values

Theorems

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Suitable Grade Level

Grades 6-8