1 Mean, Median, Mode & Standard Deviation (Chapter 3) Measure of central tendency is a value that represents a typical, or central, entry of a data set. The most common measures of central tendency are: • Mean (Average): The sum of all the data entries divided by the number of entries. To calculate the standard deviation of a data set, you can use the STEDV.S or STEDV.P function, depending on whether the data set is a sample, or represents the entire population. In the example shown, the formulas in F6 and F7 are. EXERCISE Page 1. Determine the standard deviation from the mean of the set of numbers: {35, 22, 25, 23, 28, 33, 30} correct to 3 significant figures.

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Standard Deviation and Variance Deviation just means how far from the normal Sample Standard Deviation = √ = (to the nearest mm) Think of it as a "correction" when your data is only a sample. Formulas Here are the two formulas, explained at Standard Deviation Formulas if you want to. 1 Mean, Median, Mode & Standard Deviation (Chapter 3) Measure of central tendency is a value that represents a typical, or central, entry of a data set. The most common measures of central tendency are: • Mean (Average): The sum of all the data entries divided by the number of entries. To calculate the standard deviation of a data set, you can use the STEDV.S or STEDV.P function, depending on whether the data set is a sample, or represents the entire population. In the example shown, the formulas in F6 and F7 are. It is calculated as follows: standard deviation, S = (x. 1 - −x)2 + (x. 2 - x −)2 + (x. 3 - x −)2 + n - 1 The relative standard deviation (RSD) is often times more convenient. It is expressed in percent and is obtained by multiplying the standard deviation by and dividing this product by the average. Solved Example: Statistically, let’s consider a sample of 5 and here you can use the standard deviation equation for this sample population. This means we have a sample size of 5 and in this case, we use the standard deviation equation for the sample of a population. Consider the number of gold coins 5 pirates have; 4, 2, 5, 8, 6. Worked example Find an estimate of the variance and standard deviation of the following data for the marks obtained in a test by 88 students. Marks (x) 0 ≤ x. 5.#Start#typing#“=STDEV.S”#in#the#cell#where#you#want#the# standard#deviationtoappear.# $!!!! 6.#Select#the#values#that#youwant#touse#tocalculate#the#standard. Unit 6: Standard Deviation | Student Guide | Page 7. • The standard deviation, s, measures spread about the mean, and should be used only when the mean is chosen as the measure of center. • s = 0 only when there is no spread, that is, when all observations have the same value. EXERCISE Page 1. Determine the standard deviation from the mean of the set of numbers: {35, 22, 25, 23, 28, 33, 30} correct to 3 significant figures.VARIANCE AND STANDARD DEVIATION. Recall that the range is the difference between the upper and lower limits of the data. While this is important, it does. The standard deviation is the square root of the variance. A. Know that the sample standard deviation, s, is the measure of spread most commonly used. In this leaflet we extend the definitions of variance and standard deviation to data which An alternative, yet equivalent formula, which is often easier to use is. (e) Standard deviation for a discrete frequency distribution is given by σ = 2. 1 Example 2 Find the variance and standard deviation for the following data: .. The mean life of a sample of 60 bulbs was hours and the standard deviation. Median: The value that lies in the middle of the data when the data set is ordered. Population Standard Deviation. Sample Standard Deviation. 1 x. x x s. N n. µ. -

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