# A PSYCHOLOGY STATISTICS PROJECT

APSYCHOLOGYSTATISTICS PROJECT

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PSYCHOLOGYSTATISTICS PROJECT

Astudy was done to explore the number of Chocolate bars consumed by16-year-old girls in a months’ time. The results are shown below.&nbsp

1. Identify the level of measurement used in this study.

Ratio

1. Create a Frequency Table with 6 classes. Create a Histogram based on the Frequency table in problem 2.

 Class Class midpoint Frequency ( f ) Cumulative Frequency 0-11 5.5 4 4 27.5 -33.5 1122.25 12-23 17.5 2 6 35 -21.4 457.96 24-35 29.5 7 13 206.5 -9.4 88.36 36-47 41.5 5 18 207.5 2.6 6.76 48-59 53.5 8 26 428 14.6 213.16 60-71 65.5 4 30 262 26.6 707.56

1. Find the mean, median, and mode of the number of chocolate bars consumed by 16-year-old girls in a month.

1. Mean of the number of chocolate bars consumed by 16-year-old girls in a month.

Roundoff = 39

1. Median of the number of chocolate bars consumed by 16-year-old girls in a month.

0,1, 5, 10, 12, 14, 24, 24, 26, 27, 28, 32, 34, 39, 39,41,42, 46, 51, 52, 52, 52, 55, 56, 58, 59, 62, 63, 63, 64

Thus,the 15th and 16th values belong to the mediangroup&nbspis36 – 47

Accordingto Grothand Bergner (2006) the estimated median in grouped data is given by:

Whereby:

40.8= 41 chocolates

1. Mode of the number of chocolate bars consumed by 16-year-old girls in a month.

Classwith highest frequency is 48-59

Accordingto Grothand Bergner (2006) the estimated mode in grouped data is given by:

1. Find the Variance and Standard Deviation of the number of chocolate bars consumed by 16-year-old girls in a month.

Accordingto Grothand Bergner (2006) the estimated standard deviation and variance ingrouped data is given by:

.

References

Groth,R. E., &amp Bergner, J. A. (2006). Preservice elementary teachers`conceptual and procedural knowledge of mean, median, and mode.Mathematical Thinking and Learning,&nbsp8(1),37-63.