Class XI Maths Statistics 1

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Question 1

If the mean deviation about the median of the numbers a, 2a, ... , 50a is 50, then |a| equals

• A2
• B3
• C4
• D5

Question 2

The median of a set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by 2, then the median of the new set

• Ais increased by 2
• Bis decreased by 2
• Cis two times the original median
• Dremains the same as that of the original set

Question 3

The mean of the data set comprising of 16 observations is 16. If one of the observation valued 16 is deleted and three new observations valued 3, 4 and 5 are added to the data, then the mean of the resultant data, is

• A16.8
• B16.0
• C15.8
• D14.0

Question 4

The mean deviation of the given data is-

• ALess than 20
• BGreater than 20, but less than 25
• CLess than 30, but greater than 25
• DGreater than 30

Question 5

For the given data

Choose the correct option-

• AAbsolute dispersion of above data depends on all the data sets.
• BRelative dispersion of above data depends on all the data sets.
• CStandard deviation here gives absolute dispersion.
• DStandard deviation here gives relative dispersion.

Question 6

Given, Statements-
Statement 1: Standard deviation gives most accurate results.
Statement 2: Mean deviation gives most accurate results.
Correct statements are-

• AStatement 1
• BStatement 2
• CStatement 1 but, not 2
• DStatement 2 but, not 1

Question 7

Given Pie chart, choose the correct option-

• AStandard deviation of given data is √63.35
• BStandard deviation of given data is √62.25
• CMean of given data is 25
• DVariance of given data is a perfect square of an integer.

Question 8

Given data items for an item for two companies-

Choose the INCORRECT option-

• AThe consistency of product’s capacity made by A is more than B
• BThe consistency of product’s capacity made by B is more than A
• CMean deviation of product’s capacity made by A is more than B
• DNone of the above.

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