Question

Use the set of data to calculate the measures that follow.

0, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6


Choose each correct measure.


Mean =

Median =

Range =

Interquartile range =

Answer 1

Mean: 3.5

Median: 3.5

Range: 6

Interquartile range: 1

Explanation:

Answer 2

Mean=3.5

Median=3.5

Range=6

Interquartile=1

Explanation:

Given set of data is 0, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6

To find Mean , Median , Range and Interquartile range :

First finding Mean

• 
  `Mean=(sum of the observations)/(number of observations)`
• 
  `=(0+2+3+3+3+3+3+4+4+4+4+5+5+6)/(14)`
• 
  `=(49)/(14)`
• 
  `=(7)/(2)`
• 
  `=3.5`

Therefore Mean=3.5

Median:

• Since the number of observations is even, so the meadian becomes
• 
  `Median=(sum of the two mid terms)/(2)`
• 
  `=(3+4)/(2)`
• 
  `=(7)/(2)`
• 
  `=3.5`

Therefore Median=3.5

Range:

• Range=greatest value-least value
• In the given observations we have greatest value is 6 and least value is 0
• Therefore Range=6-0

Therefore Range=6

Interquartile:

• From the observations we have
  `Q_1=3` and
  `Q_3=4`
• 
  `Interquartile=Q_3-Q_1`
• 
  `=4-3`

Therefore Interquartile=1