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Find the values of the mode when median is given to be 5 and mean is 7.

Sagot :

Answer:

Mode = 1

Step-by-step explanation:

Relation between the Central Measures of Tendency

  • Mean, Median, and Mode are commonly referred to as the Central Measures of Tendency
  • The formula between the three is given by :
  • ⇒ Mode = 3Median - 2Mean or Mode + 2Mean = 3Median

Solving

  • We know that :
  1. Median = 5
  2. Mean = 7

Therefore,

  • Mode = 3(5) - 2(7)
  • Mode = 15 - 14
  • Mode = 1
DᴀʀᴋPᴀʀᴀᴅᴏx

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

We know the relation between mean, Median and mode. that is :

[tex]\qquad \sf  \dashrightarrow \:mode = 3 \: median - 2 \: mean[/tex]

now, plug in the values ~

[tex]\qquad \sf  \dashrightarrow \:mode = 3(5) - 2(7)[/tex]

[tex]\qquad \sf  \dashrightarrow \:mode = 15 - 14[/tex]

[tex]\qquad \sf  \dashrightarrow \:mode = 1[/tex]

Hence, value of mode is 1

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