Question

88, 74, 74, 70, 70, 64, 64, 61, 61, 56, 56,
53, 53, 53, 41, 33, 32, 31, 31, 28 find
the mean marks.​

Answer 1

Mean marks: 54.65

Given:

• 88, 74, 74, 70, 70, 64, 64, 61, 61, 56, 56,53, 53, 53, 41, 33, 32, 31, 31, 28

To find:

• Find the mean marks.

Solution:

Concept to be used:

Mean= Sum of all observations/Total observation

Step 1:

Calculate the sum of all numbers.

$\Sigma= 88 + 2(74) + 2(70 )+ 2(64 )+2( 61 ) +2( 56) + 3(53) + 41 + 33 + 32 + 2(31) + 28$

$\Sigma= 88 + 148 + 140+ 128+122+112 + 159 + 41 + 33 + 32 + 62 + 28$

$\bf \Sigma= 1093$

Step 2:

Find the total observations.

To find the total observations, count the given marks.

Total observations: 20

Step 3:

Find the mean.

$\text{Mean marks}= \frac{1093}{20}$

$\text{\bf Mean marks}\bf= 54.65$

Thus,

Mean marks of given observations are 54.65.

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