Maharashtra Board Solutions for Chapter: Measures of Dispersion, Exercise 4: MISCELLANEOUS EXERCISE - 8

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Maharashtra Board Mathematics Solutions for Exercise - Maharashtra Board Solutions for Chapter: Measures of Dispersion, Exercise 4: MISCELLANEOUS EXERCISE - 8

Attempt the practice questions on Chapter 8: Measures of Dispersion, Exercise 4: MISCELLANEOUS EXERCISE - 8 with hints and solutions to strengthen your understanding. Mathematics and Statistics (Arts & Science) Part 1 solutions are prepared by Experienced Embibe Experts.

Questions from Maharashtra Board Solutions for Chapter: Measures of Dispersion, Exercise 4: MISCELLANEOUS EXERCISE - 8 with Hints & Solutions

MEDIUM
11th Maharashtra Board
IMPORTANT

Find the range and mean of the following data.

116, 124, 164, 150, 149, 114, 195, 128, 138, 203, 144

EASY
11th Maharashtra Board
IMPORTANT

Find the range of the following data

Classes 115-125 125-135 135-145 145-155 155-165 165-175
Frequency 1 4 6 1 3 5

Find variance and S.D. for the following set of numbers.

HARD
11th Maharashtra Board
IMPORTANT

Find the Mean, Variance and Standard Deviation of the given data.

25, 21, 23, 29, 27, 22, 28, 23, 21, 25

MEDIUM
11th Maharashtra Board
IMPORTANT

The arithmetic mean and standard deviation of a series of 20 items were calculated by a student as 20 cm and 5 cm respectively. But while calculating them, an item 13 was misread as 30. Find the corrected mean and standard deviation.

HARD
11th Maharashtra Board
IMPORTANT

The mean and S.D. of a group of 50 observation are 40 and 5 respectively. If two more observations 60 and 72 are added to the set, find the mean and S.D. of 52 items.

HARD
11th Maharashtra Board
IMPORTANT

The mean height of 200 students is 65 inches. The mean heights of boys and girls are 70 inches and 62 inches respectively and the standard deviations are 8 and 10 respectively. Find the number of boys and the combined S.D.

HARD
11th Maharashtra Board
IMPORTANT

Compute coefficient of variations for the following data to show whether the variation is greater in the yield or in the area of the field.

Year Area (in acres) Yield (in lakhs)
2011-12 156 62
2012-13 135 70
2013-14 128 68
2014-15 117 76
2015-16 141 65
2016-17 154 69
2017-18 142 71

HARD
11th Maharashtra Board
IMPORTANT

There are two companies U and V which manufacture cars. A sample of 40 cars each from these companies are taken and the average running life (in years) is recorded.

Life (in years) no of cars  
  Company U Company V
0-5 5 14
5-10 18 8
10-15 17 18

Which company shows greater consistency?