7th Grade Math Statistics

Important points of the Statistics 

• Statistics is made up of five basic words: population, parameter, statistic (singular), sample, and variable.
• The discipline of data collection and organisation is called statistics. We interpret results based on the analysis done using the measures of central tendencies and the measures of dispersion.
• The frequency distribution of data is represented using bar graphs, histograms, pie charts, stem and leaf plots, line graphs, or ogives.
• The data collected can be either quantitative (numerical: discrete and continuous) or qualitative(categorical).

Statistics examples

1. Compute the mean deviation about the mean from the following data.

Size(x): 2, 4, 6, 8, 10

Frequency(f): 2, 4, 5,  3, 1

 Mean = (Σ f x)/N

= [(2×2 + 4×4 + 6×5 + 8×3 +10×1)/15

= (4 + 16+ 30 + 24 + 10)/15

= 84/15 = 5.6

2.    Find the standard deviation of 8,10,12,14,16.

 Given, N = 5

Σx= 8+10+12+14+16 = 60

¯xx¯ = 60/5 =12

In statistics, Standard deviation = √Variance

Variance = σ ² =∑Ni=1(xi−¯x)2N∑i=1N(xi−x¯)2N.

= 1/5[(8-12)²+(10-12)²+(12-12)²+(14-12)²+(16-12)²]

= 1/5[16 + 4 +0 + 4+ 16]

=40/5 = 8

Standard deviation σ = √8 = 2.83

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Sum Up

By thoroughly studying statistics 7th grade, students can easily grasp basic knowledge of large data and it is useful for their further studies of large data sets.