Class 10 Quiz Level 3 (Difficult) – Statistics

Total questions: 10

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

Deselect Answer

11.5

12.3

13.2

14.5

None

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

Deselect Answer

43.5

None

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

Deselect Answer

785

None

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

Topic: Combined Variance

Deselect Answer

6.5

7.5

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?Deselect Answer

10000

11000

12000

13000

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

Deselect Answer

None

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

Deselect Answer

None

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

Deselect Answer

68.5

72.5

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.Deselect Answer

8.2

9.5

10.3

11.7

None

10.

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$Deselect Answer

None

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Class 10 Quiz Level 3 (Difficult) – Statistics

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