Using the following data for questions 1 and 2: On a recent test in another stat
ID: 3262820 • Letter: U
Question
Using the following data for questions 1 and 2: On a recent test in another stats class, students earned the following grades: 80, 88, 42, 90, 107, 78 B) 90 B) 1 C) 84 D) 66 1. The median grade is: A)42 2.How many outliers? A) on #3 and 4, for each measurement that is described, select the appropriate word to identify whether C) 2 D) all are outliers measurement represents a categorical variable or a quantitative variable. 3. The flavor of ice cream a person prefers to eat the most (chocolate, vanilla, etc.). a. Categorical b. Quantitative 4. The height of a building. a. Categorical b. Quantitative For the following histogram, what is the proper ordering of the mean, median, and mode? Note graph is NOT numerically precise-only the relative positions are important. 5. a. I = mean, 11 = median, 11-mode b.-mode, ll = median, = mean c.-median, ll = mean, III = mode d, I : mode, ll = mean, lll = median e. I = mean, l-mode, lll medianExplanation / Answer
Answer 1)
The median is the middle value, so first I'll have to rewrite the list in numerical order:
42, 78, 80, 88, 90, 107
The median is the middle number. In this example, the numbers are already listed in numerical order, so I don't have to rewrite the list. But there is no "middle" number, because there are an even number of numbers. Because of this, the median of the list will be the mean (that is, the usual average) of the middle two values within the list. The middle two numbers are 80 and 88, so:
(80 + 88) ÷ 2 = 168 ÷ 2 = 84
C option
2) Outliers:
An outlier in a distribution is a number that is more than 1.5 times the length of the box away from either the lower or upper quartiles. Specically, if a number is less than Q1 - 1.5×IQR or greater than Q3 + 1.5×IQR, then it is an outlier.
Interquartile Range (IQR)
In descriptive statistics, the interquartile range (IQR) is a measure of statistical dispersion, being equal to the difference between the third quartile (Q3) and first quartile (Q1), that is, IQR = Q3 - Q1.
First Quartile And Third Quartile
The first quartile, also called lower quartile, is equal to the data at the 25th percentile of the data. The third quartile, also called upper quartile, is equal to the data at the 75th percentile of the data.
So, here outlier is 42.....1 outlier i.e. B option
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