A teacher writes the results of a test on the board: 7 students received a’s, 10 students received b’s, 18 students received c’s, 4 students received d’s and 1 student received an f. the grade of c would represent which measure of central tendency?

Respuesta :

Answer:

mode

Explanation:

The mode is the most common value in a data set. In this case, the frequency distribution was 7 A's, 10 B's, 18 C's, 4 D's and 1 F, since C is the most common grade, it is the mode.

Only if this was a normal distribution, the mode should be equal to the mean and the median. In this case the median is also C (the number in the middle), but if we assign numbers to the grades (A=5, B=4, C=3, D=2 and F=1) the mean = 3.45.

The measure of central tendency that grade C represents is the Mode.

From the given question, the frequency distribution is as follows:

7 A's, 10 B's, 18 C's, 4 D's and 1 F

C is the mode because it is the value that occurs most (common grade) in the set of data.

Thus, the central tendency that grade C represents is Mode.

Further Explanation

Central of tendency refers to a summary of a set of data through a single value that identifies the center position in the given data.

A measure of central tendency is an attempt to describe the central position of a set data. The central tendency does not provide details as to the single value in data distribution, it only provides a descriptive summary of the all the values in a data set.

However, the three measures of central tendency include:

  • Mean: you can determine the mean of a set of data by dividing the sum of all the total values and the total number of the values
  • Median: this represents the middle value and it must be in ascending order in a set of data. However, if the values in a set of data are even numbers, the mean of the two middle numbers is the median of the set of data.
  • Mode: the mode is the values that occur most in a set of data.

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KEYWORDS:

  • mean
  • median
  • mode
  • measure of central of tendency
  • teacher
  • students