5.1 Z is the standard normal random variable it has a mean= 0 and sd = 1 (-10‚000 is lower bound‚ 10‚000 is upper bound if not given otherwise) Normal curve: The mean‚ median and mode are equal total areas=1 Symmetric and bell shaped never touches the x axis Z= Value-Mean/ standard deviation Properties of the standard normal distribution: cumulative area is close to 0 for z scores close to z= -3.49 cumulative area increases as the z scores increase cumulative area for z=0 is
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retirement age 2. A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below. 36 30 201 180 278 242 310 Find the median number of newspapers sold. 30‚36‚180‚201‚242‚278‚310 = 201 median number of newspapers sold 3. Last year‚ nine employees of an electronics company retired. Their ages at retirement are listed below. 52 65
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CumPct Mean SE Mean TrMean StDev Income ($1‚000) 50 50 0 50 100 100 46.02 1.96 45.70 13.88 Sum of Variable Variance CoefVar Sum Squares Minimum Q1 Median Q3 Income ($1‚000) 192.75 30.17 2301.00 115337.00 25.00 33.00 44.50 57.25 N for Variable Maximum Range IQR Mode Mode Skewness Kurtosis MSSD Income
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preschool delay task of Gordon Diagnostic System (Gordon‚ 1983). However‚ does higher dosage lead to higher cognitive performance? Histogram: Box-and-whisker plot: Multi plot: Summary statistics: Column n Mean Variance Std. dev. Std. err. Median Range Min Max Q1 Q3 Placebo 24 39.75 128.02174 11.314669 2.3095972 36 45 26 71 33 47 0.60 24 44.708333 151.7808 12.319935 2.5147962 42.5 48 29 77 35 54 Simple linear regression results: Dependent Variable: .60 mg/kg Independent Variable: Placebo
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promotes higher individualism and obeyence of instinct. As soon as a child meets my foot they are changed. Economic Factors Our world is driven by supply and demand. Of course‚ my foot fits perfectly into the Watkis-Teeth-Pulling model using the median instead of the mean‚ where possible. Interest my foot Clearly the graphs demonstrates a strong correlation. Why is this? Clearly interest has always depended upon my foot to a certain extent‚ but now more that ever. Perhaps to coin a phrase
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to 40 Part (c) Analyse the data that have been collected (stage A). This stage involves steps in summarising and measuring the collected data. The associated measures that we expect you use in your TMA are the mean‚ the mode‚ the median‚ range‚ interquartile range and standard deviation. You can use Microsoft Excel in presenting your data in bar
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symmetrical‚ skewed‚ unimodal‚ & bimodal distributions Central Tendency (chapter 2 – Munro e-book) Understand conceptually each of the 3 measures of central tendency: Mode‚ Median & Mean Know how to compute the mean‚ median‚ & mode Be sure to know how to find the median when: N is odd N is even Know how to determine the shape of a distribution based on info about central tendency (& vice versa) What is the fundamental
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LP9 Assignment Which of the following is the properly rounded mean for the given data? 7‚ 8‚ 13‚ 9‚ 10‚ 11 A) 10 B) 9.7 C) 9.67 D) 9 What is the median of the following set of values? 8‚ 6‚ 3‚ 1‚ 12 A) 3 B) 5 C) 6 D) 7 Find the mode for the following data? 5‚ 4‚ 3‚ 4‚ 5‚ 6‚ 5‚ 5‚ 3‚ 4 A) 3 B) 4 C) 5 D) 6 If a set of data has 49 values with a variance of 9.6‚ then the standard deviation is _________. A) 1.4 B) 0.4 C) 0.2 D) 3.1 If a data set has 9 values and a standard deviation 9
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Contents Univariate Data 2 Central tendency 2 Mean 2 Median 3 Mode 3 Trimean 3 Trimmed Mean 3 Spread 3 Range 3 Semi Inter Quartile Rang 3 Variance and Standard Deviation 3 Skew 3 Graphical Representations 4 Frequency Polygons& Cumulative Frequency Polygons 4 Histograms & Bar Graphs 4 Stem and Leaf plots 4 Box Plots 4 Describing Bivariate Data 4 Scatterplots 4 Pearson’s Correlation 4 Spearman’s Rho 4 Probability 4 Binomial Distribution 4 Assumptions:
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IFYMB001 Maths Part 2 (Business) THE NCUK INTERNATIONAL FOUNDATION YEAR (IFY) Mathematics Part 2 (Business) Second Semester Examination Examination Session Summer 2009 Time Allowed 2 hours 10 minutes (Including 10 minutes reading time) INSTRUCTIONS TO STUDENTS SECTION A Answer ALL questions. This section carries 40% of the exam marks. SECTION B Answer FOUR questions. This section carries 60% of the exam marks. The marks for each part of the question are indicated in square brackets [ ] •
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