Numerical Descriptive Data

Question 1

allow you to characterize your data into several properties

Answer 1

Descriptive Measures

Question 2

the three commonly used measures under descriptive study are:

Answer 2

• measures of the center
• measures of the location, - - measures of dispersion

Question 3

is a single value that represents the center point of a dataset. It helps to summarize the data and describe its main characteristics

Answer 3

Measure of Central Tendency

Question 4

also known as AVERAGE and the most used measure of the center

Answer 4

Mean

Question 5

Also known as Mean

Answer 5

AVERAGE

Question 6

to compute the mean?

Answer 6

simply add all the values in the given data set and divide the summation by the count or number of values

Question 7

is the symbol of mean and is also called x-bar

Answer 7

x̄

Question 8

is the score found in the middle of an arranged data set

Answer 8

Median

Question 9

to find for the median?

Answer 9

simply arrange the scores or data set either in ascending or descending order then use the formula Median = (n+1/2)^th member

Question 10

is the symbol of median and is also called x-tilde

Answer 10

x̃

Question 11

if the number of values in the data set is even

Answer 11

arrange the scores or data set either in ascending or descending order then get the average of the two middlemost scores

Question 12

the most frequently occurring score in the data set

Answer 12

Mode

Question 13

is the symbol of mode and is also called x-hat

Answer 13

x̂

Question 14

to determine the mode?

Answer 14

you might again order the scores and then count the frequency of each value

Question 15

can mode not be unique?

Answer 15

Yes

Question 16

A distribution may also contain (?) or more modes (?)

Answer 16

• bimodal
• multimodal

Question 17

or dispersion measure how spread out a set of data is

Answer 17

Measure of Variation

Question 18

when the data set obtained a large value of measure of variation,

Answer 18

then the values are said to be scattered (high variability)

Question 19

when the data set obtained a small value of measure of variation

Answer 19

then the values are said to be clustered or closed to one another (low variability)

Question 20

is the difference in the maximum and minimum values of a data set

Answer 20

Range

Question 21

the range is ________ but it is very much affected by __________

Answer 21

easy to calculate
extreme values

Question 22

is the expectation of the squared deviation of a random variable from its mean, and it informally measures how far a set of (random) numbers are spread out from their mean

Answer 22

Variance

Question 23

is the most common measure of variation. It provides a numerical measure of the overall amount of variation in a data set and can be used to determine whether a particular data value is close to or far from the mean

Answer 23

Standard Deviation

Question 24

if the number belong to a population, in symbols a deviation is

Answer 24

X - μ

Question 25

For sample data, in symbols a deviation is

Answer 25

x - x̄

Question 26

represents the population standard deviation

Answer 26

the greek letter σ (sigma, lowercase)

Question 27

represent the sample standard deviation

Answer 27

the lower-case letter s

Question 28

Variance and Standard Deviation?

Answer 28

• to calculate the standard deviation, we need to calculate the variance first
• the variance is the average of the squares of the deviations
• deviation of values for a for a sample is (X-Mean), while deviation of values for a population is (x-μ)

Question 29

STEPS IN COMPUTING THE VARIANCE AND STANDARD DEVIATION

Answer 29

1. compute the mean
2. subtract each of the data from the mean
3. square the deviations, then find the total sum
4. apply the formula to compute for the variance
5. then take its square root to get the standard deviation

Question 30

Measure of Central Tendency

Answer 30

• Mean
• Median
• Mode

Question 31

Measure of Variation

Answer 31

• Range
• Variance
• Standard Deviation