# Statistics Means Difference – lesscss

By | December 23, 2018

# Statistics – Means Difference

The mean difference (more correctly, ‘difference in means’) is a
standard statistic that measures the absolute difference between
the mean value in two groups in a clinical trial. It estimates
the amount by which the experimental intervention changes the
outcome on average compared with the control.

## Formula

\${Mean Difference= frac{sum x_1}{n} – frac{sum x_2}{n}}\$

Where −

• \${x_1}\$ = Mean of group one

• \${x_2}\$ = Mean of group two

• \${n}\$ = Sample size

### Example

Problem Statement:

There are 2 dance groups whose data is listed below. Find the
mean difference between these dance groups.

 Group 1 Group 2 3 9 5 7 5 3 4 4

Solution:

\${ sum x_1 = 3 + 9 + 5 + 7 = 24 \[7pt] sum x_2 = 5 + 3 + 4 +
4 = 16 \[7pt] M_1 = frac{sum x_1}{n} = frac{24}{4} = 6
\[7pt] M_2 = frac{sum x_2}{n} = frac{16}{4} = 4 \[7pt]
Mean Difference = 6-4 = 2 }\$

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