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44 Cards in this Set
- Front
- Back
What is the mean?
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the measure of center in a data set by adding the data values and dividing the total by the number of data set values
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What is the symbol for Sum of set data values?
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What is the mean formula?
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What is the symbol of the median?
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What is the median?
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data set that is the middle value of the original data values arranged in order of increasing (or decreasing ) magnitude.1) If data is ODD the median is the exact number in the middle of the data set. 2) If data set is EVEN compute the mean if the two middle numbers
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What is the symbol for the number of data sets? *hint its a lower case letter
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What is the Mode?
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In a data set, its the value that occurs the most. If # is the same its either bimodal (X2) or multimodal (2+). No number means no mode.
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What is the midrange?
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measure of center that is the value midway between the maximum and minimum value in the original data set.
(max data value + min data value) / 2 |
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What is the formula for finding the mean from frequency distribution?
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What is skewed?
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A data set that is not symmetric. Either left skewed or right skewed. *hint area that is skewed looks like a chunk was taken out thus right skewed looks like a chunk is missing on the right.
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What is the symbol of standard deviation (from a sample) in the TI83?
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What is the range?
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R= range and its the data set values which is the difference between max and min data value.
range= (maximum data value) - (minimum data value) |
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What is the standard deviation?
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an average variation of the value of the mean
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What is the standard deviation formula?
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What is a variance?
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in a set of values is a measure of variation equal to the square of the standard deviation.
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What the variance symbol?
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What is the symbol of sample variance in ti83?
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What is the range rule of thumb?
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for most data sets, the vast majority of sample values lies within two s (standard deviation) of the mean.
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What is the minimum "usual" value?
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= (mean) - 2s(standard deviation)
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What is the maximum "usual" value?
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= (mean) + 2s(standard deviation)
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What is the formula for estimating a value of the standard deviation s?
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What is the empirical rule?
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data sets having a distribution that is approximately bell shaped.
* 68% of all vales fall within the 1 standard deviation of the mean *95% of all vales fall within the 2 standard deviation of the mean *99.7% of all vales fall within the 3 standard deviation of the mean |
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What is Chebyshevs theorem?
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The proportion (or fraction) of any set of data lying within K standard deviation of the mean is always at least 1-1Ksquared where K is any positive number greater than 1. For K=2 or K=3, we get-
*at least 3/4 (or 75%) of all values lie within 2 standard deviation of the mean. *at least 8/9 (or 89%) of all values lies within 3 standard deviation of the mean. |
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What is CV?
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Coefficient of variation
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What is Coefficient of variation?
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non negative sample or population data, expressed as a % described the standard deviation relative to the mean.
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What is the formula for CV?
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What is the symbol for mean in Ti83?
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What is the symbol for standard deviation sample in Ti83?
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What happens to the histograph when the mean and median are to the right of the mode?
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The histograph is right skewed
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What happens to the histograph when the mean and median are to the left of the mode?
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The histograph is left skewed
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How do u calculate outliers in a box and whisker plot?
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above Q3 by an amount greater than 1. X IQR or below Q1 by an amount greater than 1.5 X IQR
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What do the 5 summary numbers mean in a box and whisker plot?
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The minX, Q1, median, Q3 and the maxX
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How do u find the IQR (Interquartile range)?
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IQR= Q3 -Q1 ( the range of the box )
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What is a z score?
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converting a value to a standardized value
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What is the formula for z score (or standardized value)?
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What are percentiles?
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are measures of location denoted by p1, p2 . . ., p99, which divide a set of data into 100 groups with about 1% of the values in each group.
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What is the formula for finding the percentile of a data value?
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number of values less than X
----------------------------------------- X 100% total number of values |
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What is n?
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total number of values in the data set
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What is the k?
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percentile being used (ie. for the 25th percentile, k=25)
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What is L?
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Locator gives the position of the value (ie. for the 12th value in the sorted list, L=12.)
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What is Pk?
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kth percentile (ie. P25 is the 25th percentile)
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How do you convert the kth percentile to the corresponding data value?
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L= (K)
------ X n (100) |
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After converting if L is not a whole number what do u do?
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If not- the value of L is midway between the Lth value and the next value in the sorted data. Find PK and adding the Lth value and divide by 2.
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After converting if L is a whole number what do u do?
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Change the L by rounding to the nearest whole number and the value of PK is the Lth value counting from the lowest.
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