Variability Statistics MCQ

Multiplying or dividing each score using the same constant will change the standard deviation.

Answer

Correct Answer: False

Note: This Question is unanswered, help us to find answer for this one

For normal distributions, 95% of data will fall within two standard deviations of the mean.

Answer

Correct Answer: True

Note: This Question is unanswered, help us to find answer for this one

The definitional formula for the standard deviation requires that you know the value of the mean.

Answer

Correct Answer: True

Note: This Question is unanswered, help us to find answer for this one

The variance is the best estimate of variability since it takes into account all values except the mean.

Answer

Correct Answer: False

Note: This Question is unanswered, help us to find answer for this one

The range takes into consideration only two values regardless of the number of scores in a distribution.

Answer

Correct Answer: True

Note: This Question is unanswered, help us to find answer for this one

A researcher records the number of songs played by a station in one hour on weekdays, with commercial interruptions. In his study, he found that the average number of songs played, the M = 16, and standard deviation = 3. Assuming the data are normally distributed, which of the following is an appropriate conclusion?

Answer

Correct Answer: During weekdays 95% of the time, the station played between 22 and 10 songs per hour.

Note: This Question is unanswered, help us to find answer for this one

Using the computational formula to compute SS for a specific array of values, Σx = 31 and Σx2 = 267. If this is a sample of 4 scores, then what would SS equal using the definitional formula?

Answer

Correct Answer: 26.75

Note: This Question is unanswered, help us to find answer for this one

Using the computational formula to compute SS for a specific array of values, Σx = 31 and Σx2 = 267. If this is a sample of 4 scores, then what would SS equal using the definitional formula?

Answer

Correct Answer: 26.75

Note: This Question is unanswered, help us to find answer for this one

The only difference in computing sample and population variance is that the SS is divided by ______ for the sample variance.

Answer

Correct Answer: N − 1

Note: This Question is unanswered, help us to find answer for this one

The SS in two similar experiments was found to be 104. Experiment 1 had 10 participants and experiment 2 had 20 participants. Which experiment is associated with the largest variance?

Answer

Correct Answer: Experiment 1

Note: This Question is unanswered, help us to find answer for this one

The variance and standard deviation can only be:

Answer

Correct Answer: Positive.

Note: This Question is unanswered, help us to find answer for this one

A psychologist records the time in seconds it takes a sample of children to complete a set of problems and computes the SS = 1600. Assuming that the psychologist observed a sample of 25 children in this study, what is the variance and standard deviation for these data?

Answer

Correct Answer: 66.7; 8.2

Note: This Question is unanswered, help us to find answer for this one

A swimmer measures the time it takes for each of his laps and determines that a time of 15 s is at the 25th percentile, a score of 17 s is at the 50th percentile, and a score of 21 s is at the 75th percentile. What is the interquartile range (IQR) for these data?

Answer

Correct Answer: 6

Note: This Question is unanswered, help us to find answer for this one

The interquartile range (IQR) is the range of a distribution of scores:

Answer

Correct Answer: After the top 25% and bottom 25% of the scores in that distribution are remove

Note: This Question is unanswered, help us to find answer for this one

Which of the following distributions has the smallest variability?

Answer

Correct Answer: Scores: 2, 3, 4, 5, and 6

Note: This Question is unanswered, help us to find answer for this one

A researcher records the following data: 10, 10, 10, 10, and 10. How would you describe the variability of these data?

Answer

Correct Answer: It is equal to zero because scores are the same.

Note: This Question is unanswered, help us to find answer for this one

Which of the following is not a symbol used with populations?

Answer

Correct Answer: M

Note: This Question is unanswered, help us to find answer for this one

A measure of variability for the average squared distance that scores deviate from their mean is known as_____

Answer

Correct Answer: Variance

Note: This Question is unanswered, help us to find answer for this one

The example of variability includes_____

Answer

Correct Answer: All of these

Note: This Question is unanswered, help us to find answer for this one

The example of variability includes_____

Answer

Correct Answer: All of these

Note: This Question is unanswered, help us to find answer for this one

Upper Quartile is the median value of the upper half of a data set at the _____ percentile of a distribution.

Answer

Correct Answer: 75th

Note: This Question is unanswered, help us to find answer for this one

Unbiased Estimator is any sample statistic obtained from a randomly selected sample that does not equals the value of its respective population parameter.

Answer

Correct Answer: False

Note: This Question is unanswered, help us to find answer for this one

Sum Of Squares is the _____ of scores from their mean.

Answer

Correct Answer: Sum of squares

Note: This Question is unanswered, help us to find answer for this one

Sum Of Squares is the _____ of scores from their mean.

Answer

Correct Answer: Sum of squares

Note: This Question is unanswered, help us to find answer for this one

Standard Deviation is also known as_____

Answer

Correct Answer: Root Mean Square Deviation

Note: This Question is unanswered, help us to find answer for this one

Standard Deviation is also known as_____

Answer

Correct Answer: Root Mean Square Deviation

Note: This Question is unanswered, help us to find answer for this one

A measure of_____ between the upper quartile (Q3) and lower quartile (Q1) of a data set is known as Semi-Interquartile Range.

Answer

Correct Answer: Half of the distance

Note: This Question is unanswered, help us to find answer for this one

A measure of_____ between the upper quartile (Q3) and lower quartile (Q1) of a data set is known as Semi-Interquartile Range.

Answer

Correct Answer: Half of the distance

Note: This Question is unanswered, help us to find answer for this one

Sample Variance is computed when only a portion or sample of data is measured in a population.

Answer

Correct Answer: True

Note: This Question is unanswered, help us to find answer for this one

Sample Standard Deviation Is calculated by taking the square root of the_____

Answer

Correct Answer: Sample Variance

Note: This Question is unanswered, help us to find answer for this one

Root Mean Square Deviation is calculated by taking the _____of the variance.

Answer

Correct Answer: Square root

Note: This Question is unanswered, help us to find answer for this one

A way to calculate the population variance and the sample variance without needing to sum the squared differences of scores from their mean to compute the SS in the numerator is known as Raw Score Method For Variance.

Answer

Correct Answer: True

Note: This Question is unanswered, help us to find answer for this one

The difference between the largest (L) and the smallest value (S) in a data set is known as_____

Answer

Correct Answer: Range

Note: This Question is unanswered, help us to find answer for this one

Quartiles divide data evenly into _____ equal parts.

Answer

Correct Answer: 4

Note: This Question is unanswered, help us to find answer for this one

Quartile Deviation is computed by dividing the IQR in_____

Answer

Correct Answer: Half

Note: This Question is unanswered, help us to find answer for this one

Population Variance is computed when all scores in a given population are unknown.

Answer

Correct Answer: False

Note: This Question is unanswered, help us to find answer for this one

Population Standard Deviation is measured by taking the _____ of the population variance.

Answer

Correct Answer: Square root

Note: This Question is unanswered, help us to find answer for this one

Percentiles divide a set of data into _____ equal parts.

Answer

Correct Answer: 100

Note: This Question is unanswered, help us to find answer for this one

Median Quartile is the median value of a data set at the _____ percentile of a distribution.

Answer

Correct Answer: 50th

Note: This Question is unanswered, help us to find answer for this one

Median is the _____ value in a distribution of data listed in numeric order.

Answer

Correct Answer: Middle

Note: This Question is unanswered, help us to find answer for this one

Lower Quartile is the median value of the lower half of a data set at the _____ percentile of a distribution.

Answer

Correct Answer: 25th

Note: This Question is unanswered, help us to find answer for this one

Lower Quartile is the median value of the lower half of a data set at the _____ percentile of a distribution.

Answer

Correct Answer: 25th

Note: This Question is unanswered, help us to find answer for this one

Interquartile Range is the range of values between the Q3 and lower Q1 quartiles of a data set.

Answer

Correct Answer: True

Note: This Question is unanswered, help us to find answer for this one

_____ is an example of Fractiles.

Answer

Correct Answer: All of these

Note: This Question is unanswered, help us to find answer for this one

Empirical Rule states that for data that are normally distributed, at least 68% of data lie within _____ standard deviation of the mean.

Answer

Correct Answer: One

Note: This Question is unanswered, help us to find answer for this one

Empirical Rule states that for data that are normally distributed, at least _____% of data lie within two standard deviations of the mean.

Answer

Correct Answer: 95

Note: This Question is unanswered, help us to find answer for this one

Empirical Rule states that for data that are normally distributed, at least _____% of data lie within three standard deviations of the mean.

Answer

Correct Answer: 99.7

Note: This Question is unanswered, help us to find answer for this one

Deviation is denoted by _____ for a sample.

Answer

Correct Answer: X − M

Note: This Question is unanswered, help us to find answer for this one

Deviation is denoted by _____ for a population.

Answer

Correct Answer: X − μ

Note: This Question is unanswered, help us to find answer for this one

Degree Of Freedom is represented as _____

Answer

Correct Answer: N-2

Note: This Question is unanswered, help us to find answer for this one

DEfinitional Formula For Variance requires summing the _____ of scores from their mean to compute the SS in the numerator.

Answer

Correct Answer: Squared difference

Note: This Question is unanswered, help us to find answer for this one

Deciles divide a set of data into_____equal parts.

Answer

Correct Answer: 10

Note: This Question is unanswered, help us to find answer for this one

Computational Formula For Variance is a way to calculate_____ without needing to sum the squared differences of scores from their mean to compute the SS in the numerator.

Answer

Correct Answer: Both

Note: This Question is unanswered, help us to find answer for this one

Chebyshev’s Theorem defines the percent of data from any distribution that will be contained within any number of standard deviations from the mean, where SD is _____

Answer

Correct Answer: >1

Note: This Question is unanswered, help us to find answer for this one

Biased Estimator is any sample statistic obtained from a randomly selected sample that is equal to the value of its respective population parameter.

Answer

Correct Answer: False

Note: This Question is unanswered, help us to find answer for this one

search