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i have a few easy questions but i need some help with them:

1)

a) Why do we need averages?

b) Which average can have more than one value?

c) Which average represents the value when the total of all the sample values is shared out equally?

d) Which average has the same number of values above it below it?

e) When is the sample median preferred to the sample mean?

f) When is the sample mode preferred to the sample mean?

g) When is the sample mean preferred to both the sample median and the sample mode?

2)

a) Why do we need measures of variation ?

b) What measure of variation is most useful in the case of: (i) a symmetrical distribution, (ii) a skew distribution'?

c) Think of an example of sample data where the range would be a misleading measure of variation.

d) Name the measure of variation associated with the: (i) sample mean, (ii) sample median, (iii) sample mode.

e) Name the average associated with the: (i) sample standard deviation, (ii) sample inter-quartile range, (iii) range.

## Homework Statement

i have a few easy questions but i need some help with them:

1)

a) Why do we need averages?

b) Which average can have more than one value?

c) Which average represents the value when the total of all the sample values is shared out equally?

d) Which average has the same number of values above it below it?

e) When is the sample median preferred to the sample mean?

f) When is the sample mode preferred to the sample mean?

g) When is the sample mean preferred to both the sample median and the sample mode?

2)

a) Why do we need measures of variation ?

b) What measure of variation is most useful in the case of: (i) a symmetrical distribution, (ii) a skew distribution'?

c) Think of an example of sample data where the range would be a misleading measure of variation.

d) Name the measure of variation associated with the: (i) sample mean, (ii) sample median, (iii) sample mode.

e) Name the average associated with the: (i) sample standard deviation, (ii) sample inter-quartile range, (iii) range.

## Homework Equations

## The Attempt at a Solution

1)

a) to analyse the data

b) when there's more than one dependent variable

c) i dont know

d)i dont know

e)when there's numerical data

f) when theres discrete data

g) when the histogram is symmetrical

2)

a) i dont know

b) i) mean/standard deviation ii) median/interquartile range

c) i dont know

d) i dont know

e) i dont know

any help would be very appreciated.

thank you.