In this page 10th grade statistics worksheet1 we are going to see some practice questions. For each question you can find solution with detailed explanation.

(1) Find the range and coefficient of range of the following data

(i) 59,46,30,23,27,40,52,35,29    Solution

(ii) 41.2,33.7,29.1,34.5,25.7,24.8,56.5,12.5   Solution

(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.  Solution

(3)The largest of 50 measurements is 3.84 kg. If the range  is 0.46 kg ,find the smallest measurement.    Solution

(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.    Solution

(5) Calculate the standard deviation of the first 13 natural numbers. Solution

(6) Calculate the standard deviation of the following data

(i) 10,20,15,8,3,4   Solution

(ii) 38,40,34,31,28,26,34     Solution

(7) Calculate the standard deviation of the following data

x     3     8    13    18    23

7    10    15    10    8  Solution

(8) 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.    Solution

(9) 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    Solution

(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             9           15           12         11

calculate the standard deviation.    Solution

(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

(12) Find the variance of the following distribution

Class interval      20-24     25-29     30-34     35-39     40-44     45-59

Frequency             15          25          28           12        12        8

calculate the standard deviation.   Solution

(13) 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. Solution

(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. Solution

(15) If n = 10, x̄ = 12 and Σ x² = 1530,then calculate the coefficient of variation. Solution

(16) Calculate the coefficient of variation of the following data 20,18,32,24,26. Solution

(17) If the coefficient of variation of a collection of data is 57 and its standard deviation is 6.84, then find the mean. Solution

(18) A group of 100 candidates have their average height 163.8 cm with coefficient of variation 3.2. What is the standard deviation of their heights? Solution

(19) Given Σ x = 99, n = 9 and Σ (x - 10)² = 79. Find Σ x² and Σ (x - x̄)².   Solution

(20) Two marks scored by two students A,B in a class are given below.

A          58          51          60          65          66

B          56          87          88          46          43    Solution Featured Categories

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