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.