Why D is the correct answer in the given question: Which of the following statements is incorrect?(A) Both dotplots and stemplots can show symmetry, gaps, clusters, and outliers.(B) Sets with different distribution shapes can have identical boxplots.(C) Boxplots, dotplots, stemplots, and histograms can all show skewness.(D) In histograms, relative areas correspond to relative frequencies.(E) In histograms, frequencies can be determines from relative heights

1. The following are the ages of 16 randomly selected SCC students:16, 18, 18, 19, 20, 20, 21, 22, 23, 24, 24, 25, 28, 31, 35, 41(a) Find the median and the two quartiles.(b) Use the IQR method to find all outliers.(c) Draw the box plot.(d) Construct a frequency histogram with 5 classes of equal width.(e) Based on (c) or (d), do you expect the median or the mean to be greater? Why?

3. Consider the following set of data, which represents a simple random sample of heights (in inches) of full-grown corn plants in Horseyetown, WI: (78.5, 88.8, 76.2, 73.0, 79.5, 66.9, 72.4, 86.6, 67.6, 73.5, 72.6, 72.6, 80.0, 69.1, 79.1, 73.9, 72.3, 83.3, 64.3, 69.1) Round your answers to 2 decimal places. A. Calculate the range. B. Calculate the sample mean. C. Calculate sample statistics to estimate the population standard deviation and variance of all full-grown corn plants in Horseyetown, WI.

Is the mean, median, or mode most sensitive to the presence of outliers?

7.

A random sample of n=102 was asked what color they most liked to wear as one question in a survey. What type of graph would be best to display the data below? Note: please do not capitalize your answers when typing them. Color Blue Green Red Purple Yellow Orange # of people 20 15 32 18 15 pie graph histogram O box-and-whiskers

. The data of amputee percentage is shown below. Group this data for Intervals start from 10%-20%. Calcul ate the mean, mode, medi an for the grouped data and compare between them. Draw the suitable graph for the resulting grouped data and state the cause of using this graph. 60% 57% 70% 21% 50% 53% 27% 28% 29% 60% 11% 27% 48% 35% 62% 43% 45% 23% 34% 20% 29% 13% 36% 43% 59% 62% 50% 31% 21% 56% 46% 14% 60% 48% 40% 45% 49% 52% 44% 63%

The following describes a sample. The information given includes the five number summary, the sample size, and the largest and smallest data values in the tails of the distribution. Five number summary: (31, 61, 67, 69, 88); n = 120 Tails: 31, 52, 54, 56, 57,..., 77, 78, 84, 85, 88 Clearly identify any outliers using the IQR method. Select all that apply. No outliers 31 52 54 56 SE 57 77 78 84