Question

1). For what value of x, the mode of the following data is 5 ?
2, 3, 4, 5, 3, 5, 6, 3, x, 7, 5

2). The following observations have been arranged in ascending order.
11, 12, 14, 18, x+2, x+4, 30, 32, 35, 41
If the median of the data is 24, find x.

3).For the data 3, 21, 25, 17,(x + 3) , 19, (x–4) if mean is 18, find the value of x and hence, find the mode of the data

Answer these questions pls ^u^

Answer 1

Answer:

Step-by-step explanation:

1)ascending order>1, 3,5,5,5,6,67,7,7x+1, 8

mode=7

x+1=7

x=6

2)we know,

if the number of observation (n) is even

then,

1. first of all find the value at the position

2. and find the value at the position

3. now find the average of two value to get the median .

e.g.,

Given, 11, 12, 14, 18, (x + 2), (x + 4) , 30, 32 , 35 , 41 are in ascending order .

number of terms = 10 {even}

so, median = {(n/2)th + (n/2 + 1) th }/2

24 = (5th + 6th)/2

24 = {(x + 2) + (x + 4)}/2

24 = (x + 3)

x = 21

hence, x = 21

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