Question

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 the median.​

Answer 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

Answer 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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