### Standard Error, Mean, Population, Sample Mean, Measure of Central Tendency

The key terms in these Statistic chapters include Mean, Population, Sample Mean, Measure of Central Tendency, Sample, Distribution, Mode, Frequency Distribution Table, Sample Size, Standard Error, Median, Distribution of Scores, Standard Deviation.

My electric bills for June, July and August last summer were $75, $75, and $150, respectively. What was the mean amount for the three bills?

**$100**

A population with a mean of u = 6 has EX = 54. How many scores are in the population?

**N = 9**

A sample has a mean of M = 90. If each score in the sample is MULTIPLIED by 5, then what is the mean for the new distribution?

**450**

A set of n = 4 scores has a mean of u = 11. If 8 points are subtraced from one of the scores, what is the new value for the population mean?

**9**

A sample of n = 6 scores has a mean of M = 5. One person with a score of X = 12 is added to the distribution. What is the mean for the new set of scores?

**M = 6**

A sample of n = 5 scores has a mean of M = 12 One new score is added to the sample, and the new mean is calculated to be M = 11. What is the value of new score?

**X = 6**

In a population N = 6, five of the individuals all have scores that are exactly 1 point above the mean. From this information, what can you determine about the score for the 6th individual?

**It is below the mean by 5 points**

Under what circumstances will the distribution of sample means be normal?

**IF the POPULATION is normal or if the sample size is greater than 30.**

Samples of size n = 9 are selected from a population with u = 80 with o = 18. What is the standard error for the distribution of sample means?

**6**

What is the standard error of M?

**It is the STANDARD deviation of the distribution of sample means.**

What is the MEDIAN for the population of scores shown in the frequency distribution table? X = 5. 4. 3. 2. 1. // F = 1. 2. 3. 4. 2

**2.5**

Which of the following statements cannot be true for a distribution of scores?

**NO ONE has a score EXACTLY EQUAL to the MODE**

My electric bills for June, July and August last summer were $75, $75, and $150, respectively. What was the mean amount for the three bills?

**$100**

A population with a mean of u = 6 has EX = 54. How many scores are in the population?

**N = 9**

One item on a questionnaire asks students how many times in a typical week they eat at a FAST- FOOD restaurant. The responses for a sample of n = 10 students are summarized in the frequency distribution. What is the BEST MEASURE of central tendency for these data?

**The Median**

A population of scores has a mean of u = 26, a median of 23, and a mode of 22. What is most likely shape of the population distribution?

**Symmetrical**

A sample of N = 4 scores is selected from a population with u = 40 with o = 8, and the sample mean is M = 43. What is the expected value for the sample mean?

**40**

A sample of n = 9 scores is obtained from a population with u = 70 and o = 18. If the sample mean is M = 76, what is the z-score for the sample mean?

**z = 1.00**

If random samples, each with n = 9 scores, are selected from a normal population with u = 80 and o = 36, what is the standard error for the distribution of sample means?

**6 points**

For a POSITIVELY SKEWED distribution with a mode of X = 20 and a median of 25, what is the most likely value for the mean?

**GREATER than 25**

My electric bills for June, July and August last summer were $75, $75, and $150, respectively. What was the mean amount for the three bills?

**$100**

A population with a mean of u = 6 has EX = 54. How many scores are in the population?

**N = 9**

In a population N = 6, five of the individuals all have scores that are exactly 1 point above the mean. From this information, what can you determine about the score for the 6th individual?

**It is below the mean by 5 points**

Under what circumstances will the distribution of sample means be normal?

**IF the POPULATION is normal or if the sample size is greater than 30.**

What is the standard error of M?

**It is the STANDARD deviation of the distribution of sample means.**

Which of the following statements cannot be true for a distribution of scores?

**NO ONE has a score EXACTLY EQUAL to the MODE**

**$100**

A population with a mean of u = 6 has EX = 54. How many scores are in the population?

**N = 9**

In a population N = 6, five of the individuals all have scores that are exactly 1 point above the mean. From this information, what can you determine about the score for the 6th individual?

**It is below the mean by 5 points**

Under what circumstances will the distribution of sample means be normal?

**IF the POPULATION is normal or if the sample size is greater than 30.**

What is the standard error of M?

**It is the STANDARD deviation of the distribution of sample means.**

Which of the following statements cannot be true for a distribution of scores?

**NO ONE has a score EXACTLY EQUAL to the MODE**

**It is below the mean by 5 points**