E) for what value of x the mode of the data
24, 15,40, 23, 27, 26, 22, 25,20, x + 3 found 25?
using the value of x find

2 thoughts on “E) for what value of x the mode of the data<br />24, 15,40, 23, 27, 26, 22, 25,20, x + 3 found 25?<br />using the value of x find”

1. Step-by-step explanation:

   Mode = 25

   So we know that 25 occurs maximum number of times

   Take x + 3 = 25

   On further calculation

   x = 22

   We get

   24, 15, 40, 23, 27, 26, 22, 25, 20, 25

   By arranging the numbers in ascending order

   We get

   15, 20, 22, 23, 24, 25, 25, 26, 27, 40

   So the number of observations = 10

   We get

   Median = ½ {(n/2)th term + (n/2 + 1)th term}

   By substituting the values

   Median = ½ {(10/2)th term + (10/2 + 1)th term}

   So we get

   Median = (5th term + 6th term)/2

   On further calculation

   Median = (24 + 25)/2

   We get

   Median = 49/2 = 24.5

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2. x = 22 , 24.5 is Median

   Step-by-step explanation:

   24, 15, 40, 23, 27, 26, 22, 25, 20, x+3

   no value is repeated

   Mode of data is 25

   Hence x + 3 should be 25

   so that 25 comes twice

   => x + 3 = 25

   => x = 22

   data becomes

   24, 15, 40, 23, 27, 26, 22, 25, 20, 25

   Arranging in ascending order

   15 , 20 , 22 , 23 , 24 , 25 , 25 , 26 , 27 , 40

   Total 10 Values

   Median = (5th Value + 6th Value)/2

   = (24 + 25)/2

   = 24.5

   24.5 is Median

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   Reply