Which measure of central tendency is equal to the sum of the scores in a distribution divided by the number of scores?

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Terms in this set (5)

Describe and explain the difference between the​ mean, median, and mode.

The mean is the sum of the scores divided by the total number of scores. The median is the middle score when all the scores in a distribution are arranged in order of value. The mode is the value with the greatest frequency in a distribution.

Make up examples in which the median would be the preferred measure of central tendency.
In which of the following examples is the median the preferred measure of central​ tendency? Select all that apply.

b) The distribution of annual household income
D) The distribution of the number of children in a household

A developmental psychologist studies the number of words that seven infants have learned at a particular age. The numbers are
12​,
14​,
7​,
1​,
2​,
40​,
and
20.

Figure the​ (a) mean,​ (b) median, and​ (c) standard deviation for the number of words learned by these seven infants.​ (d) Explain what the results mean to a person who has never had a course in statistics.

D: The mean is the average number of words learned found by dividing the total number of words learned by the number of infants in the study. The median is the middle value in the ordered list of number of words learned. The standard deviation is roughly the average amount the number of words learned for the infants differ from the mean.

On a measure of​ anxiety, the mean is
84
and the standard deviation is
11.
What are the Z scores for each of the following raw​ scores? (a)
106
and​ (b)
60.

Z= X-M/SD
X=106 M=84 SD=11

Z=2

Suppose the people living in a city have a mean score of
41
and a standard deviation of
5
on a measure of concern about the environment. Assume that these concern scores are normally distributed. Using the
​50%−​34%−​14%
​figures, approximately what percentage of people have a score​ (a) above
41​,
​(b) above
46​,
​(c) above
31​,
​(d) above
36​,
​(e) below
41​,
​(f) below
46​,
​(g) below
31​,
and​ (h) below
36​?

a) 50% - since the data score 41 is equal to the mean value 41 about 50% should fall above the mean

b) since the data score 46 is 5 above the mean, it is 1 standard deviation above to mean, and as such, approximately 16%

c)

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What measure of central tendency is determined by adding the scores together and the sum is divided by the number of scores?

A mean is very easy to calculate. One simply has to add all the data values or "scores" and then divide this sum by the total number of scores in the distribution of data.

What do you call the measure of central tendency which is the sum of the values of the data divided by the total number of values?

The mean, often called the average, of a numerical set of data, is simply the sum of the data values divided by the number of values. This is also referred to as the arithmetic mean.

Which measure of central tendency will be equal to one of the data points in the set?

For any data set, which measures of central tendency have only one value? The median and mean can only have one value for a given data set.

What measures of central tendency that divides a set of scores in two equal number of the scores?

Median: the midpoint of the scores in a distribution when they are listen in order from smallest to largest. It divides the scores into two groups of equal size. With an even number of scores, you compute the average of the two middle scores.