Help Session 03 09/06/18 1. Your class just took your last math test of the year

Question

Help Session 03 09/06/18 1. Your class just took your last math test of the year. These are the scores: 97, 99, 81, 78, 73, 95, 33, 97, 64, 100, 85, 83, 85, 88, 79, 81, 93, 86, 83, and 71. a. What are the mean, median, and mode of the data? b. Construct a stem and leaf plot for the scores c. Describe the shape of the data set. Is it symmetric or are there extreme values in the low or high numbers? Given this information would you say that the students did well on the exam? Explain. d. Find the five number summary and draw a rough box-and-whisker plot for the same. Also using the interval (01-1.5x IQR, Qs+ 1.5 x IQR), identify if there are any potential outliers 2. a. b. c. 1, 3, 5, 10, 13, 14, 21, 30, 35, 36, 39, 40, 44, 48, 50, 53, 54 8,9, 10, 15, 18, 19, 21, 28, 33, 35, 40, 47. 39, 36, 30, 27, 26, 24, 28, 35, 39, 60, 50, 41, 35, 32, 51 3. Draw the Pie Chart for the following data a. ICU Frequency Percentage Degree Type Medical12 Surgery6 Cardiac5 Other 2 25 b. Major StudentsP Percentage Degree

Explanation / Answer

The solution is obtained by using R-studio software. R code is given as:

Scores<-c(97,99,81,78,73,95,33,97,64,100,85,83,85,88,79,81,93,86,83,71)
Scores
#(a)
mean<-mean(Scores)
mean

median<-median(Scores)
median

mode<-3*median-2*mean
mode

#(b) Stem and leaf plot
stem(Scores)

#(c)For identifying the shape of the distribution, we use histogram.
hist(Scores)
#Histogram shows that the shape of the distribution is negatively skewed(not symmetric).

#(d)YES,students did well in their last math test of the year because most of their scores lies near central values(mean, median and mode) and their average scores are good.

After running these R code, the solution will be obtained as:

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