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MATH 114 SEQUENCES AND SERIES
PROBLEM SOLVING PRACTICE TEST 2026
◉ Cumulative Frequency Answer: For a class is the sum of the frequencies for that class and all previous classes ◉ Stem-and-Leaf Plots Answer: Method of exploratory data analysis that is used to rank- order and arrange data into groups ◉ Mode Answer: The most frequent number ◉ Median Answer: • Middle Number
- Subtract the two and divide by 2 ◉ Median in Large Data Sets Answer: (n+1)÷2 = The position of the median ◉ Mean
Answer: Sum of all entries ÷ Number of entries ◉ Range Answer: Largest value - Smallest value ◉ Coefficient of Variance Answer: (S÷Mean) • 100 (Population Standard Deviation ÷ Population Mean) • 100 ◉ How to Compute Quartiles Answer: 1. Order from smallest to largest
- Find the median (Q2)
- The first quartile is then the median of the lower half of data
- The third quartile is the median of the upper half of the data ◉ Box-And-Whisker Plot Answer: ◉ Properties of a Normal Curve Answer: • The curve is bell-shaped, with the highest point at μ
- The curve is symmetrical about a vehicle line through μ
Answer: The histogram should be roughly bell-shaped ◉ How to determine whether data have normal distribution for outliers Answer: There should not be more than one outlier. one way to check for outliers is to use a box-and-whisker plot. Recall that outliers are those data values that are = above q3 by an amount greater than 1.5 X interquartile range = below q1 by an amount greater than 1.5 x interquartile range ◉ Population Standard Deviation Equation Answer: σ = (Square Root) σ² ◉ Sample Standard Deviation Equation Answer: s = (Square Root) s² ◉ Sample Mean Equation Answer: x̅ = (∑x)÷n ◉ Population Mean Equation Answer: μ = (∑x)÷N
◉ Sample Variance Equation Answer: s² = (∑x-x̅)²÷(n-1) ◉ Population Variance Equation Answer: σ² = (∑x-μ)² ÷ N ◉ Convert x value to z-score Answer: x = z σ+ μ ◉ What does s² stand for? Answer: Sample Variance ◉ What does x̅ Stand for? A nswer: Sample Mean ◉ What does S stand for? Answer: Sample Standard Deviation ◉ What does σ² stand for? Answer: Population Variance ◉ What does σ stand for?
◉ Graphs used for stem-and-leaf plots? Answer: Histograms and Box-and-Whisker Plot
