Question 1 :
Find the range and coefficient of range of the following data
(i) 59, 46, 30, 23, 27, 40, 52, 35, 29
(ii) 41.2, 33.7, 29.1, 34.5, 25.7, 24.8, 56.5, 12.5
Question 2 :
The smallest value of a collection of data is 12 and the range is 59. Find the largest value of the collection of data.
Question 3 :
The largest of 50 measurements is 3.84 kg. If the range is 0.46 kg, find the smallest measurement.
Question 4 :
The standard deviation of 20 observations is √5. If each observation is multiplied by 2, find the standard deviation and variance of the resulting observations.
Question 5 :
Calculate the standard deviation of the first 13 natural numbers. Solution
Question 6 :
Calculate the standard deviation of the following data
10, 20, 15, 8, 3, 4
Question 7 :
Calculate the standard deviation of the following data.
38, 40, 34, 31, 28, 26, 34
Question 8 :
Calculate the standard deviation of the following data
x 3 8 13 18 23
f 7 10 15 10 8
Question 9 :
The number of books bought at a book fair 200 students from a school are given in the following table.
Number of books 0 1 2 3 4
Number of students 35 64 68 18 15
calculate the standard deviation.
Question 10 :
The time (in seconds) taken by a group of people to walk across a pedestrian crossing is given in the table below.
Time (in sec) 5-10 10-15 15-20 20-25 25-30
No of people 4 8 15 12 11
Calculate the standard deviation.
Solution
Question 11 :
A group of 45 house owners contributed money towards green environment of their street. The amount of money collected is shown in the table below.
Amount 0-20 20-40 40-60 60-80 80-100
No of house 2 7 12 19 5
Calculate the standard deviation. Solution
Question 12 :
Calculate the variance of the following table.
x 2 4 6 8 10 12 14 16
f 4 4 5 15 8 5 4 5
Question 13 :
Find the variance of the following distribution
Class interval 20-24 25-29 30-34 35-39 40-44 45-49 |
Frequency 15 25 28 12 12 8 |
Question 14 :
The mean and standard deviation of 20 items are found to be 10 and 2 respectively. At the time of checking it was found that an item 12 was wrongly entered as 8. Calculate the correct mean and standard deviation.
Question 15 :
Mean of 100 items is 48 and their standard deviation is 10. Find the sum of all the items and the sum of the squares of all the items.
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