Class 10 Practice – Level 3 – Set 2 – Statistics

Total questions: 15

The mean scores of two groups of students in a test are 65 and 75, respectively. If the number of students in the two groups is 50 and 70, what is the combined mean score of the two groups?

Topic: Combined Mean

68.5

72.5

None

For the following data, calculate the median:

Topic: Median from a Frequency Distribution

Class Interval	Frequency
0-10	8
10-20	12
20-30	20
30-40	10

None

A histogram representing the frequency distribution of the weights of 100 people shows the highest bar corresponding to the weight interval 60-70. If the frequency of the preceding class is 25, the frequency of the modal class is 40, and the frequency of the succeeding class is 35, what is the mode?

Topic: Mode from a Histogram

None

Given the cumulative frequency curve (ogive) of the data, if the total frequency is 150 and the value of the median is 75, what is the class interval where the median lies?

Topic: Median From a Cumulative Frequency Curve

70-75

75-80

80-85

85-90

None

The following table shows the distribution of the heights of 60 students:

Topic: Mean Deviation for Grouped data

Height (cm)	Frequency
140-150	5
150-160	10
160-170	20
170-180	15
180-190	10

Calculate the mean deviation about the mean.

8.2

9.5

10.3

11.7

None

For the following frequency distribution, what is the median?

Topic: Median from a Frequency Distribution

Class Interval	Frequency
0-20	6
20-40	10
40-60	12
60-80	8
80-100	4

None

A histogram representing the frequency distribution of the monthly income of 150 workers shows the highest bar corresponding to the income interval 5000-6000. If the frequency of the preceding class is 30, the frequency of the modal class is 50, and the frequency of the succeeding class is 40, what is the mode?

Topic: Mode from a Histogram

5500

5550

5600

5650

None

If the standard deviations of two groups are 8 and 12, and their means are 60 and 80 respectively, with group sizes of 30 and 50, what is the combined standard deviation?

Topic: Combined Standard Deviation

9.2

10.6

11.8

12.4

None

Calculate the mean of the following data using the assumed mean method:

Topic: Mean Using Assumed Mean Method

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

None

10.

Given the following frequency distribution of weekly expenses with open-end classes:

Topic: Median of Grouped Data with Open-End Classes

Weekly Expenses (Rs.)	Frequency
Below 1000	15
1000-2000	25
2000-3000	30
Above 3000	20

Calculate the median weekly expense.

1500

1750

2000

2250

None

11.

Given the following frequency distribution, calculate the mode:

Topic: Mode from Frequency Distribution

Class Interval	Frequency
0-5	10
5-10	15
10-15	20
15-20	25
20-25	30

None

12.

Given the following data, calculate the mean deviation from the median

Topic: Mean Deviation from the Median

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

None

13.

Given the following data, calculate the mode:

Topic: Mode of Grouped Data

Class Interval	Frequency
10-20	10
20-30	15
30-40	25
40-50	20

None

14.

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

Topic: Mean of Grouped Data Using Step Deviation Method

Class Interval	Frequency
0-10	10
10-20	15
20-30	20
30-40	25
40-50	10

None

15.

The median of a frequency distribution is 28.5, and the data is:

Topic: Missing Frequency in a Median Calculation

Class Interval	Frequency
10-20	7
20-30	×
30-40	15
40-50	8

Calculate the missing frequency $ \displaystyle x$

None

1 out of 15

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Class 10 Practice – Level 3 – Set 2 – Statistics

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