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Previous year question hub

Statistics - Algebra - Mathematics Previous Year Questions

Practice Statistics - Algebra - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

1Papers
1Years
1Questions
1Topics

Statistics question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Statistics. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Not classified 1 100%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

Multiple Choices 1 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
1 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
1 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Statistics
1 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

IAT IISER 2023
1 Qs

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
IAT IISER 202320231View paper

All Statistics previous year questions

Practice every matching question in batches of 20, with every available option.

1
2023 · Mathematics · Algebra · Statistics
IAT IISER 2023
Suppose the mean and the standard deviation of the data $\left\{x_1, x_2, \cdots, x_9\right\}$ are $\mu$ and $\sigma(\neq 0)$, respectively. After including one more data value $x_{10}$, the mean of the data $\left\{x_1, x_2, \cdots, x_9, x_{10}\right\}$ remains $\mu$. What is the standard deviation of the data $\left\{x_1, x_2, \cdots, x_9, x_{10}\right\}$ ?
A
$\frac{\sqrt{10}}{3} \sigma$
B
$\frac{3}{\sqrt{10}} \sigma$
C
$\frac{10}{9} \sigma$
D
$\frac{9}{10} \sigma$
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