Class 10 Practice – Level 3 – Set 1 – Statistics

Total questions: 15

The mean marks of two groups of students are 70 and 80, respectively. If the number of students in the two groups is 40 and 60, what is the combined mean of the two groups?

Topic: Combined Mean

785

None

Given the cumulative frequency curve (ogive) of the data, if the total frequency is 100 and the value of the median is 50, what is the class interval where the median lies?

Topic: Median From a Cumulative Frequency Curve

45 - 50

50 - 55

55 - 60

60 - 65

None

A histogram representing the frequency distribution of the ages of 100 people shows the highest bar corresponding to the age interval 30-40. If the frequency of the preceding class is 15, the frequency of the modal class is 30, and the frequency of the succeeding class is 25, what is the mode?

Topic: Mode from a Histogram

None

Given the following frequency distribution of monthly incomes with open-end classes:

Topic: Median of Grouped Data with Open-End Classes

Income(Rs.)	Frequency
Below 5000	20
5000 - 10000	30
10000 - 15000	25
Above 15000	25

What is the median income?

10000

11000

12000

13000

None

The following table shows the distribution of the ages of 50 participants in a marathon:

Topic: Mean Deviation for Grouped data

Age (Years)	Frequency
10-20	10
20-30	15
30-40	20
40-50	5

Calculate the mean deviation about the mean.

5.2

6.8

7.5

8.3

None

For the frequency distribution:

Topic: Median from a Frequency Distribution

Class Interval	Frequency
0 - 10	5
10 - 20	8
20 - 30	15
30 - 40	12
40 - 50	10

calculate the median.

26.5

28.5

None

For the following data, calculate the variance and standard deviation:

Topic: Variance and Standard Deviation

Class Interval	Frequency
0 - 10	6
10 - 20	10
20 - 30	8
30 - 40	6

Variance = 42, SD = 6.48

Variance = 36, SD = 6

Variance = 49, SD = 7

Variance = 30, SD = 5.48

None

If the standard deviations of two groups are 10 and 15, and their means are 70 and 75 respectively, with group sizes of 40 and 60, what is the combined standard deviation?

Topic: Combined Standard Deviation

11.5

12.3

13.2

14.5

None

Given the following data:

Topic: Median of a Frequency Distribution with Unequal Class Intervals

Interval	frequency
0 - 5	5
5 - 15	10
15 - 30	15
30 - 5	10

Calculate the median.

17.5

19.5

None

10.

Calculate the mean of the following data using the step deviation method:

Topic: Mean Using Step Deviation Method

Class Interval	Frequency
100 - 200	5
200 - 300	8
300 - 400	12
400 - 500	10
500 - 600	5

350

370

390

410

None

11.

Given the median of a frequency distribution is 28, and the data is:

Topic: Missing Frequency in a Median Calculation

Class Interval	Frequency
10 - 20	5
20 - 30	×
30 - 40	10
40 - 50	7

Calculate the missing frequency 𝑥.

.

None

12.

The ogive for a cumulative frequency distribution intersects the x-axis at 20 and 80. If the total frequency is 100, what is the range of the data?

Topic: Frequency Distribution and Ogive

None

13.

Two groups of students have variances 4 and 9, with sizes 25 and 35. Calculate the combined variance.

Topic: Combined Variance

6.5

7.5

None

14.

If the mean of the following distribution is 30, find the missing frequency 𝑥.

Topic: Missing Frequency in Mean Calculation

None

15.

The mode of a grouped data distribution is graphically determined to be 45. If the modal class is 40- 50, with frequencies 8, 12, and 10 for the preceding, modal, and succeeding classes respectively, calculate the mode using the formula.

Topic: Mode for Grouped Data Using Graphical Method

43.5

None

1 out of 15

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Class 10 Practice – Level 3 – Set 1 – Statistics

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