median grouped and ungrouped data


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To find mean of ungrouped data
It is obtained by adding the raw scores and dividing the sum by the number of items. Suppose the raw scores are x 1 , x 2 , x 3 ,, x N then, mean where M = mean x = each score or item N = number of items = sigma, which means 'summation of ' Find the mean of 6, 10, 4, 12, 8. M = 8 ..
To find mean for grouped data
There are three methods to find mean for a frequency distribution. (i) Direct method: where x is the mid-interval f is the frequency M is the mean (ii) Short-cut method: where A = assumed mean d = x - A (iii) Step-deviation method: where i = class size We illustrate each of these methods w..
The box-and-whisker plot shows the weekly quiz scores. Which of the gr..
The box-and-whisker plot shows the weekly quiz scores. Which of the group has greater median? Why? => Group A has a greater median, because Group A maximum score is 100. or Group B has a greater median, because about 75% of the s..
The stem-and-leaf plot shows the ages of the group of people participa..
The stem-and-leaf plot shows the ages of the group of people participating in swimming. Find the median from the plot. => 16.5 or 16 or 15 or 20..
Module One: Exploring Data
: Dotplot, stemplot, histogram, cumulative frequency plot Center and spread Clusters and gaps Outliners and other unusual features Shape Summarizing distributions of univariate data: Measuring center: median, mean Measuring spread: range, interquartile range, standard deviation ..
The bar graph shows the opinion poll for all time favorite sports star..
The bar graph shows the opinion poll for all time favorite sports stars. Find the median of the data set. => 12 or 19 or 13 or 15..
Find the median of the data set.46, 42, 55, 36, 41, 38, and 39
Find the median of the data set. 46, 42, 55, 36, 41, 38, and 39 => 36 or 46 or 55 or 41..
What effect will the outlier have on the median of the data if the out..
What effect will the outlier have on the median of the data if the outlier is excluded? 4, 6, 3, 4, 3, 6, 24 => insufficient information to conclude or increases or decreases or does not change..
What effect will the outlier have on the median of the data if the out..
What effect will the outlier have on the median of the data if the outlier is excluded? 64, 56, 59, 125, 58, 64, 65 => increases or can not be determined or does not change or decreases..
Find the median of the data set.17, 22, 13, 12, 11, 15, and 9
Find the median of the data set. 17, 22, 13, 12, 11, 15, and 9 => 13 or 14.14 or 99 or 28.28..
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