JIPMAT 2023 (QA) - <p>The mean of 25 observations is 36. If the mean of the first 13 observations is 32 and that of the last 13 observations is 39, then the 13th observation is:</p> | PYQs + Solutions | AfterBoards
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JIPMAT 2023

Arithmetic
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Averages

Conceptual

The mean of 25 observations is 36. If the mean of the first 13 observations is 32 and that of the last 13 observations is 39, then the 13th observation is:

Correct Option: 2
Overall mean = 3636 \newline Total sum = 36×25=90036 × 25 = 900
First 13 observations mean = 3232 \newline Sum of first 13 = 32×13=41632 × 13 = 416
Last 13 observations mean = 3939 \newline Sum of last 13 = 39×13=50739 × 13 = 507
The 13th observation is counted in both sets
Let the 13th observation be xx
416+507−x=900416 + 507 - x = 900 (total sum) \newline 923−x=900923 - x = 900
x=23x = 23
Therefore, the 13th observation is 23.

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