APSYCHOLOGYSTATISTICS PROJECT
Author’sname
Institutionof affiliation
PSYCHOLOGYSTATISTICS PROJECT
Astudy was done to explore the number of Chocolate bars consumed by16yearold girls in a months’ time. The results are shown below. 

Identify the level of measurement used in this study.
Ratio

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 

011 
5.5 
4 
4 
27.5 
33.5 
1122.25 
1223 
17.5 
2 
6 
35 
21.4 
457.96 
2435 
29.5 
7 
13 
206.5 
9.4 
88.36 
3647 
41.5 
5 
18 
207.5 
2.6 
6.76 
4859 
53.5 
8 
26 
428 
14.6 
213.16 
6071 
65.5 
4 
30 
262 
26.6 
707.56 

Find the mean, median, and mode of the number of chocolate bars consumed by 16yearold girls in a month.

Mean of the number of chocolate bars consumed by 16yearold girls in a month.
Roundoff = 39

Median of the number of chocolate bars consumed by 16yearold 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 is36 – 47
Accordingto Grothand Bergner (2006) the estimated median in grouped data is given by:
Whereby:
40.8= 41 chocolates

Mode of the number of chocolate bars consumed by 16yearold girls in a month.
Classwith highest frequency is 4859
Accordingto Grothand Bergner (2006) the estimated mode in grouped data is given by:

Find the Variance and Standard Deviation of the number of chocolate bars consumed by 16yearold girls in a month.
Accordingto Grothand Bergner (2006) the estimated standard deviation and variance ingrouped data is given by:
.
References
Groth,R. E., & Bergner, J. A. (2006). Preservice elementary teachers`conceptual and procedural knowledge of mean, median, and mode.Mathematical Thinking and Learning, 8(1),3763.