The 4 th decile for the given data is: x f 0 1 1 9 2 26 3 59 4 72 5 52 6 29 7 7 8 1
4
Total frequency \(N = 1+9+26+59+72+52+29+7+1 = 256\).
The cumulative frequencies are 1, 10, 36, 95, 167, 219, 248, 255, 256 against x = 0, 1, 2, …, 8.
Position of D₄:
\[\frac{4(N+1)}{10}=\frac{4\times 257}{10}=102.8\]
The smallest cumulative frequency ≥ 102.8 is 167, corresponding to \(x=4\).
Therefore \(D_4 = \mathbf{4}\).
Similar Questions
The given table represents the monthly income of 100 families of a locality.
Monthly income range (in Rs.)
Number of families
Income more than Rs. 10,000
100
Income more than Rs. 13,000
85
Income more than Rs. 16,000
69
Income more than Rs. 19,000
50
Income more than Rs. 22,000
33
Income more than Rs. 25,000
15
The number of families having income range (in Rs.) 19000 - 22000 is:
Find the mode for the given distribution (rounded off to two decimal places).
Class Interval 5-10 10-15 15-20 20-25 25-30 30-35 Frequency 8 7 6 9 11 10 The arithmetic mean of the following data is _________.
23, 17, 20, 19, 21
The median of the following data will be _________.
32, 25, 33, 27, 35, 29 and 30
For a sample data, mean = 60 and median = 48. For this distribution, the mode is:
The mode of the following data is __________.
13, 15, 31, 12, 27, 13, 27, 30, 27, 28 and 16
The median of a set of 11 distinct observations is 73.2. If each of the largest five observations of the set is increased by 3, then the median of the new set:
What is the mode of the given data?
5, 7, 9, 7, 3, 7, 5, 7, 8, 6, 7
In tossing a coin, let the probability of turning up a head be p . The hypotheses are H 0∶ p = 0.4 vs H 1 ∶ p = 0.6. H 0is rejected if there are five or more heads in six tosses. Then the power of the test is:
For ANOVA two-way classification, to test two types of cloth in fashion trends, we have the following table.
Source of Variations
SS
Df
MSS
F-Ratio
Variety A
280
2
140
42.04
Variety B
α
3
34.03
Error
20
β
3.33
Total
640
11
The values of (α, β) are:
Important Questions from Elementary Statistics
What is the mode of the given data?
3, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 3, 2What is the mode of the given data?
21, 22, 23, 23, 24, 21, 22, 23, 21, 23, 24, 23, 21, 23A bowler has taken 0, 3, 2, 1, 5, 3, 4, 5, 5, 2, 2, 0, 0, 1 and 2 wickets in 15 consecutive matches. What is the mode of the given data?
The data given below shows the number of people who have saved a certain amount of money.
Saving (In Rs.)
Number of people
5
1
15
3
20
4
25
2
30
1
35
1
40
2
What is the median of the given data?
If the ratio of mean and median of a certain data is 4 : 5, then find the ratio of its mean and mode.
