Overview of Statistics Notes PDF

Overview of Statistics Notes Name _____________ When you compare two or more data sets, focus on four features Center. Graphically, the center of a distribution is the point where about half of the observations are on either side. (USE Mean AND Median)...

Overview of Statistics Notes Name _____________ When you compare two or more data sets, focus on four features Center. Graphically, the center of a distribution is the point where about half of the observations are on either side. (USE Mean AND Median) Spread. The spread of a distribution refers to the variability of the data. If the observations cover a wide range, the spread is larger. If the observations are clustered around a single value, the spread is smaller. (USE Standard Deviation, Range, Interquartile range) less variation more variation Shape. The shape of a distribution is described by symmetry, skewness, number of peaks, or uniformity A 1. Which histogram has the most amount of variation? _______ A. B. More spread out Less spread out  2. How would you describe the shape of the histogram? a. Bimodal b. Skewed left c. skewed right d. Symmetric e. uniform _____________ Skewed Right Bimodal ____________ Symmetric ______________ _______________ Skewed left 3. Compare the two groups of data. Which statement is true? 0 10 0 8 F a. The spread of data for the outdoor group and the indoor group are equal T b. The spread of data for the outdoor group is 2 mood levels greater than the indoor group F c. The spread of data for the indoor group is 2 mood levels greater than the outdoor group T d. The spread of data for the outdoor group is 5 mood levels greater that the indoor group Definitions Mean = average (add up all data points and divide by the # of numbers) Median = middle # - put numbers in order from smallest to greatest and find the middle # Mode = # that appears the most Range = This determines the spread of the data. Biggest value minus the smallest value (MAX minus MIN) Standard Deviation is a measure of how dispersed the data is in relation to the mean. Low, or small, standard deviation indicates data are clustered tightly around the mean, and high, or large, standard deviation indicates data are more spread out. www.desmos.com 1. Click on + sign (top left) 2. Enter your numbers under 𝑥1 3. on the next line, type stats(𝑥1) (this gives you min, Q1, med, Q3, max) 4. on the next line, type mean(𝑥1) (this gives you the mean) 5. on the next line, type stdevp(𝑥1) (this gives you the standard deviation) 1. Find mean, median, mode, range and standard deviation of the data set. 10, 5, 3, 12, 15, 13, 8, 9, 2, 3 8 Mean _______ 8.5 Median ______ Range _____ 3 13 Mode ________ StDev _______ 4.35 2. Find mean, median, mode, range, and standard deviation of the data set. 8, 1, 3, 10, 4, 5 Mean _______ 5.16 4.5 Median ______ Range _____ 9 Mode ________ 3.02 1, 3, 4, 5, 8, 10 StDev _______ 3. Find the mean, median, mode, range and Standard Deviation of the data set. 3,3,4,5,5,5,5,7,7,7,8,10,13 3 4 7 8 13 6.3 Mean _______ Median ______ 5 10 Range _____ 5 Mode ________ 2.73 StDev _______