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20. Find the mean, median, and mode for the following
data set:
83 98 22 89 99 98


Sagot :

Lanuel

Answer:

a. Mean = 81.5

b. Median = 93.5

c. Mode = 98

Step-by-step explanation:

Given the following data;

x = 83, 98, 22, 89, 99, 98

F(x) = 83 + 98 + 22 + 89 + 99 + 98

F(x) = 489

Number of items, n = 6

a. To find the mean;

Mean = F(x)/n

Mean = 489/6

Mean = 81.5

b. To find the median;

Median refers to the middle number of a sorted data. Thus, we would arrange the number in an ascending order and choose the middle number.

x = 22, 83, 89, 98, 98, 99

Middle numbers = 89 and 98

Median = (89 + 98)/2

Median = 187/2

Median = 93.5

c. To find the mode;

Mode is the number which appeared the most in the series.

Mode = 98

The Mean, median, and mode for the following data set are as follows:

  • Mean is 81.5
  • Median is 93.5
  • Mode is 98.

What are the measures of central tendency?

The measures of central tendency include the mode, the median, and the mean.

Statistically, a central tendency is a typical value for a probability distribution.

The mode's value appears most often in a set of data values.  The median is the middle value of a dataset.  The mean represents the average.

Data and Calculations:

Data set (in ascending order)

22 + 83 + 89 + 98 + 98 + 99 = 489

Mean = 81.5 (489/6)

Median = 93.5 (89 + 98)

Mode = 98 (occurred twice more than other values)

Learn more about the mean, median, and mode at https://brainly.com/question/14532771

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