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1. What measures of position divides the distribution into 100 equal parts?
2. What is the equivalent of lower quartile in terms of percentile?
3. It tells where a specific data value falls within the data set or its relative position in comparison with other data values.
4. The second quartile is also the ____________.
5. The difference between Upper quartile and Lower quartile is called _____________.
For numbers 11-15, refer to the given table.
Distance (km) Travelled from Home to School of Students
18-20
15-17
12-14
9-11
6-8
3-5
0-2
Frequency (f)
1
2
3
5
8
17
4
Lower boundaries
17.5
14.5
11.5
8.5
5.5
2.5
0.5
Less Than Cumulative Frequency (< 𝑐𝑓)
40
39
37
34
29
21
4
11. What is the lower boundary in solving for the 45th percentile of the distance travelled from home to school of the students?
12. What is the 45th percentile of the distance travelled from home to school of the students?
13. What cumulative frequency should be used in solving for the 7th decile?
14. Find the value of D7.
15.What is the value of Q1?
The weights of the students in a class are the following: 69, 70, 75, 66, 83, 88, 66, 63, 61, 68, 73, 57, 52, 58, and 57.
8. Find the value of D8 of the students’ weights.
9. Calculate the value of D4 of the students’ weights.
10. What is the Q2 of the students’ weights?
The scores of Miss San Quintin candidates from seven judges were recorded as follows: 8.12, 9.10, 8.42, 9.14, 8.75, 9.17, and 8. 37
For numbers 4 – 6, refer to the given data above.
4. Find the 50th percentile or P50 of the judges’ scores.
5. What is the P30 of the judges’ scores?
6. Determine the 70th percentile of the judges’ scores
7. Calculate P40 of the judges’ scores
A company produces machine components which pass through an automatic testing machine. 5% of the components entering the testing machine are defective. However, the machine is not entirely reliable. If a component is defective there is 4% probability that it will not be rejected. If a component is not defective there is 7% probability that it will be rejected.
a) What fraction of all the components are rejected?
b) What fraction of the components rejected are actually not defective?
c) What fraction of those not rejected are defective?
3. Ten married couples are in a room.
a) If two people are chosen at random find the probability that
(i) one is male and one is female, (ii) they are married to each other.
b) If 4 people are chosen at random, find the probability that 2 married couples are chosen.
c) If the 20 people are randomly divided into ten pairs, find the probability that each pair is a married couple.
Between z = – 2.39 and z = – 1.05
On an average 5% of the population in an area suffers from Diabetes. What is the probability that out of 7 persons chosen at random from this area with less than and equals to three suffer from the disease
Find the area between f(x)=x²+4x and g(x)=x²-6x+5 over the interval 0 less or equal to x or x is less or equal to 1
Determine the moment vector m about the origin, o, of a force f= 10i-j+2k passing through the point with position vector r=2i-3j+5k
#340153 on Dec 2023