Math 9th Chap 11 : Topic 1 - Maryam Publications

Math Chapter 11 : Topic 1

Grouped Mean, Median and Mode

1 / 25

In grouped data, the value used to represent each class is:

A) Midpoint (class mark)

B) Frequency

C) Lower limit

D) Upper limit

2 / 25

The midpoint of class interval $10 - 20$ is:

A) $15$

B) $30$

C) $20$

D) $10$

3 / 25

If $\Sigma f = 50$ and $\Sigma fx = 500$, mean is:

A) $10$

B) $15$

C) $5$

D) $20$

4 / 25

The modal class is:

A) Class with smallest frequency

B) Class with median

C) Class with highest frequency

D) First class

5 / 25

If cumulative frequency just exceeds $\frac{N}{2}$, the class is:

A) Lowest class

B) Mean class

C) Modal class

D) Median class

6 / 25

Total frequency is called:

A) $f/x$

B) $\Sigma f$

C) $fx$

D) $\Sigma x$

7 / 25

For grouped data, mean depends on:

A) Width of class

B) Midpoints and frequencies

C) Frequencies only

D) Class limits only

8 / 25

If class interval is $20 - 30$ and $30 - 40$, class width is:

A) $20$

B) $10$

C) $5$

D) $30$

9 / 25

Which measure represents the most frequent value?

A) Mean

B) Median

C) Mode

D) Range

10 / 25

Median divides data into:

A) $2$ equal parts

B) Unequal parts

C) $3$ parts

D) $4$ parts

11 / 25

If $\Sigma f = 40$, then median lies at position:

A) $10$

B) $40$

C) $20$

D) $80$

12 / 25

Which class contains median?

A) Where cumulative frequency $\geq N/2$

B) Highest frequency

C) Lowest frequency

D) First class

13 / 25

If frequencies are $2$, $5$, $8$, $3$, modal class is:

A) First

B) Fourth

C) Second

D) Third

14 / 25

Mean is affected by:

A) Only frequencies

B) Only midpoint

C) Only class width

D) Extreme values

15 / 25

Median is useful when:

A) Data is continuous

B) Data is uniform

C) Data is small

D) Data has extremes

16 / 25

If midpoint $= 25$ and frequency $= 4$, $fx =$ _______.

A) $29$

B) $100$

C) $25$

D) $4$

17 / 25

Cumulative frequency is:

A) Mean of frequencies

B) Product of $f$ and $x$

C) Difference of frequencies

D) Running total of frequencies

18 / 25

If $\Sigma fx = 800$ and $\Sigma f = 40$, mean is:

A) $20$

B) $25$

C) $10$

D) $15$

19 / 25

Which measure is always one of the given class intervals?

A) Mean

B) Median

C) Mode

D) Range

20 / 25

If cumulative frequencies are $5$, $12$, $20$, $30$ and $N = 30$, median class is:

A) Second

B) Third

C) First

D) Fourth

21 / 25

Mean of grouped data is:

A) Always maximum

B) Exact value

C) Approximate value

D) Always integer

22 / 25

If class interval increases, number of classes:

A) Decreases

B) Remains same

C) Increases

D) Doubles

23 / 25

Which measure is best for skewed data?

A) Range

B) Mode

C) Mean

D) Median

24 / 25

Modal class is identified using:

A) Cumulative frequency

B) Lowest frequency

C) Highest frequency

D) Midpoint

25 / 25

If all frequencies are equal, then:

A) Median is zero

B) Mode is undefined

C) Mean is maximum

D) Mode is smallest

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