Math, asked by amishafilomeena1003, 1 month ago

Find the unknown entries in the following distribution table.​

Attachments:

Answers

Answered by Anonymous
30

Answer:-

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

To find A

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

We know that the first digit of frequency is also the first digit of cumulative frequency so from this we can say that a = 12

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

To find B

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

We know that a + b = 25

12 + b = 25

b = 25 - 12

b = 13

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

OR

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

25 - a = b

25 - 12 = b

13 = b

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

To find C

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

25 + 10 = c

35 = c

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

To find D

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

we know that c + d = 43

35 + d = 43

d = 43 - 35

d = 8

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

OR

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

43 - c = d

43 - 35 = d

8 = d

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

To find E

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

48 - 43 = e

5 = e

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

To find F

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

48 + 2 = F

50 = F

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

Verification:-

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

We also know that the last digit of cumulative frequency is always equal to the sum of frequency

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

= 12 + b + 10 + d + e + 2

= 12 + 13 + 10 + 8 + 5 + 2

= 50

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

Our last digit of cumulative frequency is also 50 that's mean our ans / table is correct

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

A = 12 , B = 13 , C = 35 , D = 8 , E = 5 and F = 50

Similar questions