Question

what is the mean deviation of the data:8,9,12,15,16,20,24,30,32,34?​

Answer 1

Answer:

8

Step-by-step explanation:

mean=8+9+12+15+16+20+24+30+32+34/10=20

mean deviation=20-8=12

20-9=11........20-34=14

mean deviation=12+11+8+5+4+0+10+12+14/10=8

Ans:8

Answer 2

Given :- what is the mean deviation of the data:8,9,12,15,16,20,24,30,32,34 ?

Solution :-

As we know that,

• Mean is equal to average of numbers.
• Mean = (sum of all observations.) / (Total number of observations.)

So,

→ sum of all observations = 8 + 9 + 12 + 15 + 16 + 20 + 24 + 30 + 32 + 34 = 200

and,

→ Total number of observations are = 10 .

Therefore,

→ Mean = (sum of all observations.) / (Total number of observations.)

→ Mean = (200 / 10)

→ Mean = 20

Now, we need to find the distance of all the given values from mean . { ignore minus sign .}

So,

• 20 - 8 = 12
• 20 - 9 = 11
• 20 - 12 = 8
• 20 - 15 = 5
• 20 - 16 = 4
• 20 - 20 = 0
• 24 - 20 = 4
• 30 - 20 = 10
• 32 - 20 = 12
• 34 - 20 = 14

Now, we know that,

• Mean deviation = (sum of the distance of each value from mean) / (Total number of observations.)

Therefore,

→ sum of distance of each value from mean = 12 + 11 + 8 + 5 + 4 + 0 + 4 + 10 + 12 + 14 = 80

Hence,

→ Mean deviation = 80 / 10 = 8 (Ans.)

Hence, mean deviation of given data is 8.

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The mean and standard deviation of a data which is comprised of a set of ten positive numbers are 8 and 2 respectively ....

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