Question 1

Data Set 3-5: 5, 1, 2, 1, 1, 5
-The mean of Data Set 3-5 is

Accepted Answer

The mean is calculated by summing all the numbers in the data set and dividing by the number of values. (5 + 1 + 2 + 1 + 1 + 5) / 6 = 15 / 6 = 2.5.

Question 2

Data Set 3-5: 5, 1, 2, 1, 1, 5
-The mode for Data Set 3-5 is

Accepted Answer

The mode is the number that appears most frequently in a data set. In Data Set 3-5, the number 1 appears four times, which is more than any other number, making it the mode.

Question 3

For a negatively skewed curve, the usual case with continuous data is that

Accepted Answer

The answer of For a negatively skewed curve, the usual...

Question 4

Usually, a frequency distribution with a mean of 100 and a median of 90 is

Accepted Answer

When the mean is greater than the median, the distribution is typically positively skewed, indicating a longer tail on the right side of the distribution.

Question 5

For a positively skewed curve, the usual case with continuous data is that

Accepted Answer

In a positively skewed distribution, there are more low scores, causing the tail to stretch towards the higher values. This results in the mean being larger than the median because the mean is pulled in the direction of the tail.

Question 6

When the deviation scores, ( $X$ - $\overline { \mathrm { X } }$ ), are examined, your text noted two mathematical characteristics of the mean. These two characteristics involved

Accepted Answer

The two mathematical characteristics of the mean when examining deviation scores ($X - \overline{X}$) are: 1) the sum of the deviations around the mean is always zero, and 2) the sum of the squared deviations is minimized when calculated from the mean, compared to any other value. This is why choice C is correct, as it refers to the sum of the deviations (which is zero) and the size (or sum) of the squared deviations, which is a key concept in variance and standard deviation calculations.

Question 7

Your text noted which of the following as a characteristic of the mean?

Accepted Answer

The correct characteristic of the mean is that the sum of the results of subtracting the mean from each score is zero, not a minimum or zero for squared differences.

Question 8

Your text noted which of the following as a characteristic of the mean of a set of scores?

Accepted Answer

The answer of Your text noted which of the following...

Question 9

Your text noted which of the following as a characteristic of the mean?

Accepted Answer

The characteristic of the mean is that the sum of the squared differences between each score and the mean is minimized. This is a fundamental property used in various statistical methods, including least squares optimization. Option B is incorrect because the sum of the differences (not squared) between each score and the mean is zero, not the sum of the squared differences.

Question 10

Your text noted which of the following as a characteristic of the mean of a set of scores?

Accepted Answer

The mean of a set of scores is defined in such a way that if you calculate the difference between each score and the mean, and then sum all those differences, the result is zero. This property is used to calculate the mean and is a fundamental characteristic of it.

Question 11

Your text noted which of the following as a characteristic of the mean?

Accepted Answer

The sum of the deviations from the mean (i.e., the results of subtracting the mean from each score) is always zero. This property is a defining characteristic of the mean in statistics.

Question 12

The median of 4, 3, 4, 2, 3, 4, 4, is

Accepted Answer

The median is the middle number in a sorted list. Sorting the numbers: 2, 3, 3, 4, 4, 4, 4. The middle number is 4, making it the median.

Question 13

The median of the numbers 7, 9, 8, 10, 11, 7, 8, is

Accepted Answer

To find the median, first, the numbers must be arranged in ascending order: 7, 7, 8, 8, 9, 10, 11. The median is the middle number, which is 8.

Question 14

The median of the numbers 3, 1, 2, 2, 3, 2, is

Accepted Answer

The numbers in ascending order are 1, 2, 2, 2, 3, 3. Since there is an even number of terms, the median is the average of the two middle numbers, which are both 2. Therefore, the median is 2.

Question 15

For scores of 8, 10, 8, 9, 8, 8, 9, 8, the median is

Accepted Answer

The median is the middle value when a data set is ordered from least to greatest. For these scores (8, 8, 8, 8, 8, 9, 9, 10), the middle values are both 8, so the median is 8.

Question 16

For scores of 6, 3, 7, 6, 6, 5, 6, 4, the median is

Accepted Answer

To find the median, first arrange the scores in ascending order: 3, 4, 5, 6, 6, 6, 6, 7. Since there is an even number of scores, the median is the average of the two middle numbers, which are both 6. Therefore, the median is 6.

Question 17

For scores of 6, 3, 5, 6, 4, 4, 6, 5, the median is

Accepted Answer

The median is the middle value in a list of numbers. To find the median, you first need to order the numbers from smallest to largest: 3, 4, 4, 5, 5, 6, 6, 6. Since there are an even number of scores (8), the median is the average of the 4th and 5th scores, which are both 5. Therefore, the median is 5.

Question 18

For scores of 4, 3, 1, 3, 2, 3, the median is

Accepted Answer

The scores in ascending order are 1, 2, 3, 3, 3, 4. The median is the average of the two middle numbers, which are both 3. Therefore, the median is 3.

Question 19

In an election Smith received 30 votes, Johnson 26, Williams 29, Jones 19, Brown 17, and Davis 31. (Smith is the most common name in the U.S., followed by Johnson, etc.) What is the mode of the distribution above?

Accepted Answer

The mode of a distribution is the value that appears most frequently. In this case, each candidate received a different number of votes, so there is no number that appears more than once. Therefore, there is no mode, making "none of the other alternatives are correct" the correct answer.

Question 20

The mean is the proper descriptive statistic when

Accepted Answer

The mean is most appropriate for interval or ratio data that is symmetrically distributed. Nominal and ordinal data do not meet the criteria for using the mean as a measure of central tendency, and severely skewed data can make the mean misleading.

Quiz 3: Exploring Data: Central Tendency

Data Set 3-5: 5, 1, 2, 1, 1, 5 -The mean of Data Set 3-5 is

Data Set 3-5: 5, 1, 2, 1, 1, 5 -The mode for Data Set 3-5 is

For a negatively skewed curve, the usual case with continuous data is that

Usually, a frequency distribution with a mean of 100 and a median of 90 is

For a positively skewed curve, the usual case with continuous data is that

When the deviation scores, ( $X$ - $\overline { \mathrm { X } }$ ) , are examined, your text noted two mathematical characteristics of the mean. These two characteristics involved

Your text noted which of the following as a characteristic of the mean?

Your text noted which of the following as a characteristic of the mean of a set of scores?

Your text noted which of the following as a characteristic of the mean?

Your text noted which of the following as a characteristic of the mean of a set of scores?

Your text noted which of the following as a characteristic of the mean?

The median of 4, 3, 4, 2, 3, 4, 4, is

The median of the numbers 7, 9, 8, 10, 11, 7, 8, is

The median of the numbers 3, 1, 2, 2, 3, 2, is

For scores of 8, 10, 8, 9, 8, 8, 9, 8, the median is

For scores of 6, 3, 7, 6, 6, 5, 6, 4, the median is

For scores of 6, 3, 5, 6, 4, 4, 6, 5, the median is

For scores of 4, 3, 1, 3, 2, 3, the median is

In an election Smith received 30 votes, Johnson 26, Williams 29, Jones 19, Brown 17, and Davis 31. (Smith is the most common name in the U.S., followed by Johnson, etc.) What is the mode of the distribution above?

The mean is the proper descriptive statistic when

Quiz 3: Exploring Data: Central Tendency

Data Set 3-5: 5, 1, 2, 1, 1, 5 -The mean of Data Set 3-5 is

Data Set 3-5: 5, 1, 2, 1, 1, 5 -The mode for Data Set 3-5 is

For a negatively skewed curve, the usual case with continuous data is that

Usually, a frequency distribution with a mean of 100 and a median of 90 is

For a positively skewed curve, the usual case with continuous data is that

When the deviation scores, ( XXX - X‾\overline { \mathrm { X } }X ) , are examined, your text noted two mathematical characteristics of the mean. These two characteristics involved

Your text noted which of the following as a characteristic of the mean?

Your text noted which of the following as a characteristic of the mean of a set of scores?

Your text noted which of the following as a characteristic of the mean?

Your text noted which of the following as a characteristic of the mean of a set of scores?

Your text noted which of the following as a characteristic of the mean?

The median of 4, 3, 4, 2, 3, 4, 4, is

The median of the numbers 7, 9, 8, 10, 11, 7, 8, is

The median of the numbers 3, 1, 2, 2, 3, 2, is

For scores of 8, 10, 8, 9, 8, 8, 9, 8, the median is

For scores of 6, 3, 7, 6, 6, 5, 6, 4, the median is

For scores of 6, 3, 5, 6, 4, 4, 6, 5, the median is

For scores of 4, 3, 1, 3, 2, 3, the median is

In an election Smith received 30 votes, Johnson 26, Williams 29, Jones 19, Brown 17, and Davis 31. (Smith is the most common name in the U.S., followed by Johnson, etc.) What is the mode of the distribution above?

The mean is the proper descriptive statistic when

When the deviation scores, ( $X$ - $\overline { \mathrm { X } }$ ) , are examined, your text noted two mathematical characteristics of the mean. These two characteristics involved