# the average of a distribution is equal to the summation of x divided by the number of observations

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## The average of a distribution is equal to the summation of x divided by the number of observations is called____.

The average of a distribution is equal to the summation of x divided by the number of observations is called____. The average of a distribution is equal to the summation of x divided by the number of observations is called arithmetic mean.

## The average of a distribution is equal to the summation of x divided by the number of observations is called____.

**Solution:**

The average of a distribution is equal to the summation of x divided by the number of observations is called Arithmetic mean or mean of observations.

Arithmetic mean formula = {Sum of Observations} / {Total number of Observations}

X = ∑(x i i

/ n), where i varies from 1 to n.

Suppose we have the data points 14, 12, 13, 11, 15. The arithmetic mean of this distribution is required. We find the sum of the observations and divide them by the total number of observations. We have 5 observations: x

1 1 , x 2 2 , x 3 3 , x 4 4 and x 5 5 .

Arithmetic mean = [14+ 12+ 13+ 11+15]/5 = 65/5 = 13

## The average of a distribution is equal to the summation of x divided by the number of observations is called____.

**Summary:**

The average of a distribution is equal to the summation of x divided by the number of observations is called arithmetic mean.

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## Chapter 7

Statistics

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A quantity computed from or used to describe a sample of data

____

Two broad meanings, one referring to data and the other to method

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Descriptive Statistics

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The study of how data can be summarized effectively to describe the important aspects of larger data sets

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### Terms in this set (68)

Statistics

A quantity computed from or used to describe a sample of data

____

Two broad meanings, one referring to data and the other to method

Descriptive Statistics

The study of how data can be summarized effectively to describe the important aspects of larger data sets

Statistical Inference

Making forecasts, estimates, or judgement about a larger group from a smaller group actually observed; using a sample statistic to infer the value of an unknown population parameter

Population

All members of a specified group

Parameter

A descriptive measure computed from or used to describe a population of data, conventionally represented by Greek letters

Sample

A subset of a population

Sample Statistic

A quantity computed from or used to describe a sample

Measurement Scales

A scheme of measuring differences. The four types of ___ ____ are nominal, ordinal, interval, and ratio

Nominal Scales

A measurement scale that categories data but does not rank them.

Represent the weakest level of measurement

Ordinal Scales

A measurement scale that sorts data into categories that are ordered (ranked) with respect to some characteristic

Reflects a stronger level of measurement

Interval Scales

A measurement scales that not only ranks data but also gives assurance that the differences between scale values are equal

Ratio Scales

A measurement scale that has all the characteristics of interval measurement scales as well as a true zero point as the origin

Represents the strongest level of measurement

Frequency Distribution

A tabular display of data summarized into a relatively small number of intervals

Interval

With reference to grouped data, a set of values within which an observation falls

Absolute Frequency

The number of observations in a given interval (for grouped data)

Relative Frequency

With reference to an interval of grouped data, the number of observations in the sample.

Absolute frequency of each interval divided by the total number of observation.

Cumulative Relative Frequency

For data grouped into intervals, the fraction of total observations that are less than the value of the upper limit of a stated interval.

Cumulates (adds up) the relative frequencies as we move from the first to the last interval

Histogram

A bar chart of data that have been group into a frequency distribution

Frequency Polygon

A graph of a frequency distribution obtained by drawing straight lines joining successive points representing the class frequencies.

We plot the midpoint of each interval on the x-axis and the absolute frequency for that interval on the y-axis

Measure of Central Tendency

A quantitative measure that specifies where data are centered

Measure of location

A quantitative measure that describes the location or distribution of data; includes not only measures of central tendency but also other measures such percentiles

Arithmetic Mean

The sum of the observations divided by the number of observations

Population Mean

The arithmetic mean value of a population; the arithmetic mean of all the observations or values in the population

Sample Mean

The sum of the sample observations, divided by the sample size

Cross-Sectional Data

Observations over individual units at a point in time, as opposed to time-series data

Time-Series Data

Observation of a variable over time

Median

The value of the middle item of a set of items that has been sorted into ascending or descending order; the 50% percentile

Mode

The most frequently occurring value in a set of observations

Modal Interval

With reference to grouped data, the most frequently occurring interval

Weighted Mean

An average in which each observation is weighted by an index of its relative importance

Expected Value

The probability-weighted average of the possible outcomes of a random variable.

When we take a weighted average of forward-looking data

Geometric Mean

A measure of central tendency computed by taking the nth root of the product of N non-negative values

Harmonic Mean

A type of weighted mean computed by averaging the reciprocals of the observations, then taking the reciprocal of that average

Cost Averaging

The periodic investment of a fixed amount of money

Quantile

A value at or below which a stated fraction of the data lies. Also called fractile

Quartiles

Quantiles that divide a distribution into four equal parts, quarters

Quintiles

Quantiles that divide a distribution into five equal parts

Percentiles

Quantiles that divide a distribution into 100 equal parts

## is defined as the sum of observations divided by the number of observations.

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Question

## __________ is defined as the sum of observations divided by the number of observations.

**A**

## Harmonic Mean

**B**

## Geometric Mean

**C**

## Arithmetic Mean

**D**

## All of above

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Correct option is C)

## Arithmetic mean refers to the average amount in a given group of data. It is defined as the summation of all the observation is the data which is divided by the number of observations in the data. The formula of to calculate arithmetic mean is sd/N where sd is the summation of all the observations in the data and N is the number of observations in the data.

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