The weekly chocolate milk consumption of 40 randomly selected children is represented in the following histogram. Weekly Chocolate Milk Consumption 3.25 3.0 3 2.75 2.5 2.25 2 1.75 1.5 1.5 1.5 1.25 1.25 1.0 0.75 0.75- 0.5 0.25 2.5 7.5 10.5 18.5 22.5 26.5 30.5 Glasses/week (i) Based on the above histogram, construct a grouped frequency table showing the group boundaries, frequency density, frequency, and class width. (ii) Calculate the following sample statistics: (а) Mean (b) Standard deviation (c) Mode and median (using the interpolation formula) (d) Pearson Coefficient of Skewness using the median value. Hence, comment on the shape of the distribution. (iii) Construct a 98% confidence interval estimate of the mean weekly chocolate milk consumption for the population. Assume that the population variance is 49. Frequency Density

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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The weekly chocolate milk consumption of 40 randomly selected children is
represented in the following histogram.
А.
Weekly Chocolate Milk Consumption
3.25
3.0
2.75
2.5
2.25
2
1.75
1.5
1.5
1.5
1.25
1.25
1.0
1
0.75
E 0.75-
0.5
0.25
2.5
7.5
10.5
18.5
22.5
26.5
30.5
Glasses/week
(i)
Based on the above histogram, construct a grouped frequency table showing the
group boundaries, frequency density, frequency, and class width.
(ii)
Calculate the following sample statistics:
(a)
Mean
(b)
Standard deviation
(c)
Mode and median (using the interpolation formula)
(d)
Pearson Coefficient of Skewness using the median value.
Hence, comment on the shape of the distribution.
(iii)
Construct a 98% confidence interval estimate of the mean weekly chocolate
milk consumption for the population.
Assume that the population variance is 49.
Frequency Density
Transcribed Image Text:The weekly chocolate milk consumption of 40 randomly selected children is represented in the following histogram. А. Weekly Chocolate Milk Consumption 3.25 3.0 2.75 2.5 2.25 2 1.75 1.5 1.5 1.5 1.25 1.25 1.0 1 0.75 E 0.75- 0.5 0.25 2.5 7.5 10.5 18.5 22.5 26.5 30.5 Glasses/week (i) Based on the above histogram, construct a grouped frequency table showing the group boundaries, frequency density, frequency, and class width. (ii) Calculate the following sample statistics: (a) Mean (b) Standard deviation (c) Mode and median (using the interpolation formula) (d) Pearson Coefficient of Skewness using the median value. Hence, comment on the shape of the distribution. (iii) Construct a 98% confidence interval estimate of the mean weekly chocolate milk consumption for the population. Assume that the population variance is 49. Frequency Density
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