Question

Q1) A group of wine enthusiasts tested a pinot noir wine from Oregon. The evaluation was to grade the wine on a 0 to 100 point scale. The results are as follows: 92 86 92 91 91 86 89 91 91 90 90 93 87 90 91 92 89 86 89 90 88 83 91 88 89 92 87 89 85 92 85 91 84 89 88 82 85 90 90 82 a) (5 points) Display descriptive statistics for the given data by using MINITAB. b) (5 points) Prepare a box plot of the given data by using MINITAB. c) (5 points) Mark the mean, median and outliers on the graph. d) (5 points) Based on the box plot, comment on the shape of the distribution.

Answer 1

a) (5 points) Display descriptive statistics for the given data by using MINITAB.

Solution:

Descriptive statistics for the given data by using Minitab is given as below:

Descriptive Statistics: Grade

Variable             N       Mean     Median     TrMean      StDev    SE Mean

Grade               40     88.650     89.000     88.806      2.931      0.463

Variable       Minimum    Maximum         Q1         Q3

Grade           82.000     93.000     86.250     91.000

b) (5 points) Prepare a box plot of the given data by using MINITAB.

Solution:

Required box plot for the given data by using MINITAB is given as below:

c) (5 points) Mark the mean, median and outliers on the graph.

Solution:

Mean, median, and outliers on the graph are given below:

d) (5 points) Based on the box plot, comment on the shape of the distribution.

Solution:

From the above boxplot, it is observed that data is skewed at the left side or we can say that data is negatively skewed.