Table of Contents
Chapter 24 – Measures of Central Tendency Exercise Ex. 24.1
Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6
Solution 6
Question 7Find the mean of first five multiples of 3.Solution 7
Question 8
Solution 8
Question 9
Solution 9
Question 10
The numbers of children in 10 families of a locality are:
2, 4, 3, 4, 2, 0, 3, 5, 1, 1, 5. Find the mean number of children per family.Solution 10
Question 11
Solution 11
Question 12
Solution 12
Question 13
The traffic police recorded the speed (in km/hr) of 10 motorists as 47, 53, 49, 60, 39, 42, 55, 57, 52, 48. Later on an error in recording instrument was found. Find the correct average speed of the motorists if the instrument recorded 5 km/hr less in each case.Solution 13
Question 14
Solution 14
Question 15
Solution 15
Question 16
Solution 16
Question 17
Solution 17
Question 18
Solution 18
Question 19
If M is the mean of x1, x2, x3, x4, x5 and x6 , prove that
(x1 – M) + (x2 – M) + (x3 -M) + (x4 – M) + (x5 – M) + (x6 – M) = 0Solution 19
Question 20
Solution 20
Question 21
Solution 21(i)
(ii)
Question 22
Solution 22
Question 23
Solution 23
Question 24
Solution 24
Chapter 24 – Measures of Central Tendency Exercise Ex. 24.2
Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4
Five coins were simultaneously tossed 1000 times and at each toss the number of heads were observed. The number of tosses during which 0, 1, 2, 3, 4 and 5 heads were obtained are shown in the table below. Find the mean number of heads per toss.
No. of heads per toss | No. of tosses |
0 1 2 3 4 5 | 38 144 342 287 164 25 |
Total | 1000 |
Solution 4
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8
Solution 8
Question 9
Solution 9
Question 10
Solution 10
Question 11
Solution 11
Question 12
Solution 12
x | f | xf |
10 | 17 | 170 |
30 | f1 | 30f1 |
50 | 32 | 1600 |
70 | f2 | 70f2 |
90 | 19 | 1710 |
N = 120 |
Chapter 24 – Measures of Central Tendency Exercise Ex. 24.3
Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8
Solution 8
Question 9Numbers 50, 42, 35, 2x + 10, 2x – 8, 12, 11, 8 are written in descending order and their median is 25, find x.Solution 9
Question 10
Solution 10
Question 11
Solution 11
Question 12
Solution 12
Question 13The following observations have been arranged in ascending order. If the median of the data is 63, find the value of x.
29, 32, 48, 50, x, x + 2, 72, 78, 84, 95
Solution 13
Chapter 24 – Measures of Central Tendency Exercise Ex. 24.4
Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4(i)Find the mode of 14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18Solution 4(i)Arranging the data in an ascending order 14, 14, 14, 14, 17, 18, 18, 18, 22, 23, 25, 28 Here observation 14 is having the highest frequency i.e. 4 in given data. So, mode of given data is 14.
Question 4 (ii)
Solution 4 (ii)
Question 5
The demand of different sizes, as obtained by a survey, is given below:
Size | 38 | 39 | 40 | 41 | 42 | 43 | 44 | Total |
Number of persons (wearing it): | 26 | 39 | 20 | 15 | 13 | 7 | 5 | 125 |
Find the modal shirt size, as observed from the survey.Solution 5
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