Use the results of Examples 3 and 4 to determine the population and sample variance of test scores on the statistics exam.

Approach The population variance is found by squaring the population standard deviation. The sample variance is found by squaring the sample standard deviation.

Data from Example 3

Compute the population standard deviation of the test scores in Table 8.

Data from Example 4

Compute the sample standard deviation of the sample obtained in Example 1 (b) from Section 3.1.

Data from Example 1 Section 3.1.

The data in Table 1 represent the first exam score of 10 students enrolled in Introductory Statistics. Treat the 10 students as a population.

(a) Compute the population mean.

(b) Find a simple random sample of size n = 4 students.

(c) Compute the sample mean of the sample found in part (b).

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Table 8 Student Score 1. Michelle 82 2. Ryanne 77 3. Bilal 90 4. Pam 71 5. Jennifer 62 6. Dave 68 7. Joel 74 8. Sam 84 9. Justine 94 10. Juan 88