# Math Olympiad Test: Statistics- 1 - Class 10

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## 10 Questions MCQ Test Olympiad Preparation for Class 10 - Math Olympiad Test: Statistics- 1

Math Olympiad Test: Statistics- 1 for Class 10 2023 is part of Olympiad Preparation for Class 10 preparation. The Math Olympiad Test: Statistics- 1 questions and answers have been prepared according to the Class 10 exam syllabus.The Math Olympiad Test: Statistics- 1 MCQs are made for Class 10 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Math Olympiad Test: Statistics- 1 below.
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Math Olympiad Test: Statistics- 1 - Question 1

### If the mean of following distribution is 25, then what is the value of x?

Detailed Solution for Math Olympiad Test: Statistics- 1 - Question 1

⇒ 325 + 25x = 285 + 45x
⇒ 20x = 40 ⇒ x = 40/20 = 2

Math Olympiad Test: Statistics- 1 - Question 2

### The median of first 10 Prime numbers is

Detailed Solution for Math Olympiad Test: Statistics- 1 - Question 2

The first 10 Prime numbers are
2, 3, 5, 7, 11, 13, 17, 19, 23, 29
∴ n = 10, which is even

Math Olympiad Test: Statistics- 1 - Question 3

### The arithmetic mean of a data is 48 and mode is 24 then the median is

Detailed Solution for Math Olympiad Test: Statistics- 1 - Question 3

Here Mean = 48; Mode = 24
∴ Mode =  3 Median - 2 Mean
∴ 24 =  3 Median - 2 × 48
⇒ 3 Median = 24 + 96
⇒ Median = 120/3
= 40

Math Olympiad Test: Statistics- 1 - Question 4

If the arithmetic mean of x, x + 3, x + 6, x + 9, x + 12 is 10 then what is the value of x.

Detailed Solution for Math Olympiad Test: Statistics- 1 - Question 4

Given
⇒ 5x + 30 = 50
⇒ 5x = 20 ⇒ x = 4

Math Olympiad Test: Statistics- 1 - Question 5

In the given distribution, which is the modal class?

Detailed Solution for Math Olympiad Test: Statistics- 1 - Question 5

The class having maximum frequency is called modal class i.e. 30–40.

Math Olympiad Test: Statistics- 1 - Question 6

What is the value of P, if the mean of the following distribution is 7.5?

Detailed Solution for Math Olympiad Test: Statistics- 1 - Question 6

⇒ 307.5 + 7.5P = 303 + 9P
⇒ 1.5 P = 4.5 ⇒ P = 4.5/1.5 = 3

Math Olympiad Test: Statistics- 1 - Question 7

The median of the given data 41, 43, 127, 99, 61, 71, 92, 58, 57, is 61. If 58 is replaced by 85, then what is difference of the new median and the given median?

Detailed Solution for Math Olympiad Test: Statistics- 1 - Question 7

The given data in ascending order is 41, 43, 57, 61, 71, 85, 92, 99, 127
n = 9 (odd)

Required Difference = 71 - 61 = 10

Math Olympiad Test: Statistics- 1 - Question 8

What is the interquartile range for the data 2, 1, 0, 3, 1, 2, 3, 4, 3, 5?

Detailed Solution for Math Olympiad Test: Statistics- 1 - Question 8

The given data in ascending order is 0, 1, 1, 2, 2, 3, 3, 3, 4, 5
n = 10 (even)
Lower quartile = n/4 th = 10/4th = 2.5th
= 3rd term
= 1

Math Olympiad Test: Statistics- 1 - Question 9

If the mean of first n natural number is 15, what is the value of n?

Detailed Solution for Math Olympiad Test: Statistics- 1 - Question 9

Math Olympiad Test: Statistics- 1 - Question 10

The arithmetic mean and mode of a data are 24 and 12 respectively. What is the median of that data?

Detailed Solution for Math Olympiad Test: Statistics- 1 - Question 10

∵ Mode = 3 Median - 2 Mean
∴ 12 =  3 Median - 2 × 24
⇒ Median = 60/3 = 20

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## Olympiad Preparation for Class 10

11 videos|36 docs|201 tests