## What is Calculation Of Mean?

Example:
The following data relate to the age of a group of Govt. employees. Calculate the arithmetic mean and standard deviation:

Age                    50—55      45—50     40—45       35-40    30—35        25—30     20—25

No. of                  25                30            40            45            80          110          170

Employees.

Solution: Calculation of Mean and S.D. by step-deviation method

 Age Mid- No. of Dev. From Step Devia- (X) (mv) (f) Dx dx2 Fdx fdx2 S0-5S 52.5 25 15 +3 9 +75 225 45—50 47.5 30 +10 +2 +60 120 40-45 42.5 40 +5 +1 +40 40 35—40 37.5 45 0 0 +0 0 30—35 32.5 80 — 5 —1 —80 80 25—30 27.5 110 —10 —2 —220 440 20-25 22.5 170 —15 —3 —510 1530 ∑f = 500 ∑fdx = -635 ∑fdx2 = 2435

Arithmetic Mean or X = A + (∑fdx)/N) × i  = 37.5 + (-635)/500 × 5 = 31.15 years

Standard-Deviation σ = √(∑fdX2))/N- ((∑fdx)/N  )2 ) × i  =  √(2435/500- ((-635)/500 )2 ) × 5

= √(3.27 )×5

## Email Based, Online Homework Assignment Help in Calculation Of Mean

Transtutors is the best place to get answers to all your doubts regarding calculation of mean. Transtutors has a vast panel of experienced Statistics tutorswho can explain the different concepts to you effectively. You can submit your school, college or university level homework or assignment to us and we will make sure that you get the answers related to calculation of mean.

## Related Topics

All Statistics Topics

More Q&A
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}