Answer:
The majority of this textbook centers upon two-variable data, data with an input and an output. This is also known as bivariate data. There are many types of situations in which only one set of data is given. This data is known as univariate data. Unlike data you have seen before, no rule can be written relating univariate data. Instead, other methods are used to analyze the data. Three such methods are the measures of central tendency.
Measures of central tendency are the center values of a data set.
Mean is the average of all the data. Its symbol is x¯.
Mode is the data value appearing most often in the data set.
Median is the middle value of the data set, arranged in ascending order.
Let's find the mean, median, and mode of the following data representing test scores:
90, 76, 53, 78, 88, 80, 81, 91, 99, 68, 62, 78, 67, 82, 88, 89, 78, 72, 77, 96, 93, 88, 88
Find the mean, median, mode, and range of this data.
To find the mean, add all the values and divide by the number of values you added.
mean=80.96
To find the mode, look for the value(s) repeating the most.
mode=88
To find the median, organize the data from least to greatest. Then find the middle value.
53, 62, 62, 67, 68, 72, 76, 77, 78, 78, 78, 78, 80, 81, 82, 88, 88, 88, 88, 89, 90, 91, 93, 96, 99
median=81
To find the range, subtract the highest value and the lowest value.
range=99−53=46
When a data set has two modes, it is bimodal.
If the data does not have a “middle value,” the median is the average of the two middle values. This occurs when data sets have an even number of entries
Explanation:
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