Identification Math Quiz

_____ is a branch of Mathematics that deals with the collection, organization, presentation, analysis, and interpretation of data. It is an essential aspect of daily life. The knowledge of _____ can help a man in several ways such as in ✓ conducting investigations or procedures that are necessary in making good decisions; ✓assessing a given set of data; ✓establishing assumptions; and ✓preparing reports. Main Components of _____: ✓Collection of Data ✓Organization of Data ✓Presentation of Data ✓Statisticians also analyze data to obtain useful information from them. ✓An important part of data analysis is to find the average value, the middle value, or the most frequent value of a set of data.

• statistics

• measure of central tendency

• mean

• median

• mode

A _____ is a single value that represents the typical entry or the center of a set of data. Such typical value or central point can be used to describe an entire population.

• statistics

• measure of central tendency

• mean

• median

• mode

❖ The _____ (commonly called the average) of a set n numbers is the sum of all the numbers divided by n. In symbols, it is denoted as x̄, read as “x-bar”.

• statistics

• measure of central tendency

• mean

• median

• mode

❖ The _____ is the middle number when the numbers in a set of data are arranged in ascending or descending order. When there is an even number of elements, the _____ is the mean of the two middle numbers. In symbols, it is denoted as x̃, read as “x-tilde”.s

• statistics

• measure of central tendency

• mean

• median

• mode

❖ The _____ is the number that occurs most often in a set of data. A set of data can have more than one _____. If all the numbers appear the same number of times, there is no _____ for that data set. In symbols, it is denoted as x̂, read as “x-hat”.

• statistics

• measure of central tendency

• mean

• median

• mode

The _____ is the most popular among the measures of central tendency, as it is widely used. It indicates a point around which the values in the distribution balance. This can easily be justified by showing that the sum of the differences from the _____ is equal to zero. It is also affected by extreme values.

• statistics

• measure of central tendency

• mean

• median

• mode

To get the mean, simply add all the scores in a distribution and divide by the total number of

values. In symbols, the formula for the computation of the mean for ungrouped data are as follows:

x̄= Σxi/N

where x̄is the mean

Σxi is the sum of scores, and

N is the total frequency.

• The Mean of Ungrouped Data

• Weighted Mean

• The Mean of Grouped Data

• The Median of Grouped Data

• The Mode of Grouped Data

x̄= Σfx/N

where x̄is the mean

f = frequency

x̄= score

Σfx = sum of the product of the frequencies and score

N = total frequency

• The Mean of Ungrouped Data

• Weighted Mean

• The Mean of Grouped Data

• The Median of Grouped Data

• The Mode of Grouped Data

x̄= Σfxm/N

where x̄= mean

f = frequency

xm = class mark (average of lower interval and upper interval)

Σfxm = sum of the product of the frequencies and class marks

N = total frequency

• The Mean of Ungrouped Data

• Weighted Mean

• The Mean of Grouped Data

• The Median of Grouped Data

• The Mode of Grouped Data

x̃ = xLB + [N/2 - cfb/fm]i

where x̃ = median

xLB = the lower boundary or true lower limit of the median class

N = total frequency

cfb = cumulative frequency before the median class

fm = frequency of the median class

i = size of the class interval

• The Mean of Ungrouped Data

• Weighted Mean

• The Mean of Grouped Data

• The Median of Grouped Data

• The Mode of Grouped Data