measurements. Section 7.1 Turning Data into Information Four kinds of useful information about a set of data: center‚ variability‚ shape and outlier Types of center: mean‚ median and mode (and their definitions) Types of variability: range‚ standard deviation and IQR (and their definitions) Types of shape: symmetric‚ skew to the left‚ skew to the right‚ unimodal and bimodal (and their definitions) Definition of outlier (unusual values): Section 7.2 Picturing Data Stem-and-leaf plot and how to make
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standard limits. Homemade brews and the raw materials used had significantly higher nitrite differences (p 1.04 Q 2 --> 1.41 Q 3 --> 10.1 Interquartile Range (IQR) Sum of Squares Mean Absolute Deviation: Root Mean Square (RMS): Std Error of Mean: Skewness Kurtosis: Coefficient of Variation: Relative Standard Deviation: 9.06 591.3 4.008 6.055 0.8244 0.7899 1.786 1.097 109.7%
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for lunch (in $) at a fast food restaurant. a) Compute the mean and the median. b) Compute the variance‚ standard deviation‚ range‚ and co-efficient of variation. c) Are the data skewed? If so‚ how? 2) The file ‘ChocolateChip’ contains the cost (in cents) per 1 ounce serving‚ for a sample of 13 chocolate chip cookies. a) Compute the first quartile‚ the third quartile‚ and the interquartile range. b) Construct a boxplot and describe its shape. 3) The file ‘Energy’ contains the per
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into a box plot * Can find * Median (Q₂) * Range * Quartiles (Q₁‚ Q₂‚ Q₃) * Inter-quartile Range * Excludes outliers * Middle 50% of data * Percentiles * Outliers (Extreme values) * Ordered data Cumulative Frequency Diagrams [27/09/12] Aims - To complete cumulative frequency curve and step diagrams. - Quartiles using calculation Cumulative frequency diagrams: * Data used is usually
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TITLE: To determine whether standard 3 students of San Fernando Boys’ Government School perform better in Mathematics than Mental Mathematics STATEMENT OF TASK Mathematics is a very important subject taught in all schools. Mental mathematics compliments the regular mathematics and therefore both are tested in primary schools. Mathematics is the written application of operation. It teaches students to think clearly‚ reason well and strategize effectively. Mental Mathematics is the ability to
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median‚ the mode‚ percentiles and quartiles. The mean is the average of the date set. The median represents the middle of the group in ascending order. The mode can be various numbers in which similar numbers appear most frequently in the sample; there can be more than one mode. The percentiles and quartiles represent the position(s) that a set of numbers are grouped throughout the sample. Percentiles are defined by a particular percentages‚ while quartiles split the group into even quarters
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Chapter 3 Statistical Summary This topic covers: The concept and measures of central tendency for ungrouped and grouped data. The concept and measures of dispersion for ungrouped and grouped data. Introduction When we look at a distribution of data‚ we should consider three characteristics: Shape (chapters 2 and 4) Center / Location (central tendency measurement) Spread (dispersion measurement) With these characteristics‚ we can numerically describe the main features of a data set
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describe the performance of the motion picture industry. First‚ the study involved measures of Location which include: mean‚ median‚ mode. In addition‚ it was analyzed measures of variability of the data set which include: variance‚ range‚ and standard deviation. Moreover‚ the outliers movies were identified by calculating the z-score of each variable. Finally‚ it was measured the association between two variables (correlation coefficient) to understand the relationship between more than one variable. Four
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Inferential Statistics Parameter vs Statistics Variable a. Categorical Statistic estimates Parameter b. Quantitative estimates ‚ sample mean ‚ population i. Discrete mean s‚ sample standard estimates ‚ population ii. Continuous deviation standard deviation Random Variable estimates P‚ population ˆ p ‚ sample Sampling Distributions proportion proportion Parameter (Defines a population) Statistic (calculated from sample to estimate a parameter) Central Limit Theorem Law of Large
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Chapter 5 Measures of Central Tendency: Introduction A measure of central tendency is a single value that attempts to describe a set of data by identifying the central position within that set of data. As such‚ measures of central tendency are sometimes called measures of central location. They are also classed as summary statistics. The mean (often called the average) is most likely the measure of central tendency that you are most familiar with‚ but there are others‚ such as the median and the
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