The mean, median and mode for the given data.
The mean of the given data is 28.375, the median is 25.5 and the mode is 23.
The below table shows the set of 40 reading scores.
The formula for mean is given below:
Substitute 1,135 for and 40 for n in the above equation as follows:
Thus, the mean of the given data is 28.375.
Arrange the given data in ascending order, to find the median of the given data.
|S. No||Values||S. No||Values||S. No||Values||S. No||Values|
The total number of terms is 40, which is an even number.
The formula for median when n is even is given below:
Substitute 40 for n in the above equation as follows:
The 20th term is 25 and 21st term is 26 when the data is arranged in the ascending order.
Substitute 25 for and 26 for in the above equation as follows:
Thus, the median of the given data is 25.5.
The value in data set which occurs maximum times is called mode.
The frequency of the data is tabulated below:
From the above table, it is noticed that the highest frequency is 5 for 23.
Thus, the mode of the given data is 23.
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