Explain TWO strengths in using mean as a measure of central tendency.The table represents the ages of 250 community women who participated in a gender sensitization forum. Study it and answer the questions that follow.Age(Years) Frequency PercentageCumulative FrequencyCumulative percentage21 – 25166.4166.426 – 302911.64518.031 – 354317.28835.236 – 404718.813554.041 – 455622.419176.446 – 503714.822891.251 – 55187.224698.456 – 6041.6250100.0%Total250100.0250100Calculate:The first quartile The third quartile The interquartile range The 45th percentile

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Description: Explain TWO strengths in using mean as a measure of central tendency.The table represents the ages of 250 community women who participated in a gender sensitization forum. Study it and answer the questions that follow.Age(Years) Frequency PercentageC

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Explain TWO strengths in using mean as a measure of central tendency.
The table represents the ages of 250 community women who participated in a gender sensitization forum. Study it and answer the questions that follow.

Age (Years)	Frequency	Percentage	Cumulative Frequency	Cumulative percentage
21 – 25	16	6.4	16	6.4
26 – 30	29	11.6	45	18.0
31 – 35	43	17.2	88	35.2
36 – 40	47	18.8	135	54.0
41 – 45	56	22.4	191	76.4
46 – 50	37	14.8	228	91.2
51 – 55	18	7.2	246	98.4
56 – 60	4	1.6	250	100.0%
Total	250	100.0	250	100

Calculate:

The first quartile
The third quartile

The interquartile range

The 45^th percentile

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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