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WorksheetsMeasure of dispersion for ungroup data
Total questions: 45
Worksheet time: 2hrs 34mins
When a distribution is divided into hundred equal parts, each score point describes the distribution as
percentile
median
quartile
decile
The lower quartile is equal to
50th percetile
25th percentile
2nd decile
3rd quartile
In the set of scores: 14, 17, 10, 22, 19, 24, 8, 12, and 19. The median is
17
15
16
13
Angie ranks 10th in a class of 40. Her percentile is
75
90
10
25
Identify the upper quartile for the given data?
23, 34, 27, 7, 30, 26, 28, 31, 34
30.5
31.5
32.5
33.5
Identify the median for the given data?
23, 34, 27, 7, 30, 26, 28, 31, 34
23
28
31
34
What is the Q1 of this data set?
6, 7, 2, 1, 5, 2, 1, 6
1
1.5
2
2.5
8. Given the following data set: 20, 22, 23, 26, 29, 30, 30, 35, 33, 40. What is the second quartile, or the median.
A. 29
B. 29.5
C. 30
D. 30.5
What does this symbol represents?
Data
Mode
Variance
Mean
12, 10, 10, 10, 13, 12, 11, 13, 10
Which of the following is not a measure of dispersion?
range
variance
standard deviation
mode
If two data sets have the same mean, then these sets also have the same standard deviations.
true
false
The heights of some students are given.
158cm 172cm 164cm
164cm 167cm 159cm
What is the range of the heights?
13cm
14cm
164cm
330cm
A(n) ____ of a data set is much greater or much less than the other data values.
mean
median
mode
outlier
Identify the distribution for the yellow box plot.
Symmetric
Right-skewed
Left-skewed
3, 5, 7, 9, 11, 8, 3
State the midpoint of the class interval (3.8 – 5.2).
3.8
4.5
4.6
5.2
Which set of data has the largest range?
30, 24, 40, 25, 22, 34
23, 20, 44, 26, 45, 39
36,49,55,38,58,42
64, 48, 50, 46, 44, 62
The table shows the achievement of four classes in a Mathematics test.
Which class shows the most consistent achievement in the test?
4M
4N
4P
4S
The stem-and-leaf plot shows the masses, in kg, of two groups of pupils.
Find interquartile range of the masses for each group of pupils.
P: 14 kg; Q: 31 kg
P: 31 kg; Q: 14 kg
P: 42 kg; Q: 38 kg
P: 56 kg; Q: 64 kg
The frequency table shows the scores obtained by a group of pupils in a competition.
If the interquartile range is 3, state one possible value of x.
1
2
5
6
Based on the information of a set of data in the above table, which box plot represents the set of data correctly?
The mean of a set of numbers p, 2p, 3p, 4p and 5p is 6. Calculate the standard deviation of the set of numbers.
2.288
2.828
8.228
8.822
The range and the variance of a set of numbers y1, y2, ... , y15 are 8 and 4.5 respectively.
Calculate the range and the variance of the set of numbers 52y1+15, 52y2+1, 52y3+1, ... , 52y15+1.
3.4, 3.2
3.4, 2
3.2, 3.6
3.2, 3.8
A set of data contains 20 numbers. The sum of the numbers is 284 and the sum of the squares of the numbers is 4 688.
Calculate the standard deviation of the set of data.
5.274
5.724
32.76
36.27
The variance of a set of positive numbers p, (p - 5), (p - 2),
(p - 3) and (2p - 5) is 5.84.
Calculate the value of p.
5
6
7
8
In a 100 item test, the passing mark is the 3rd quartile. What does it imply?
The students should answer at least 75 items correctly to pass the test.
The students should answer at least 50 items correctly to pass the test.
The students should answer at most 75 items correctly to pass the test.
The students should answer at most 50 items correctly to pass the test.
How many percent corresponds P25 if you will interpret it?
10%
25%
50%
60%
Find the value of x.
3
4
5
6
Find the difference between median score and mode score.
0.6
1.0
2.4
3.0
The formula of ____________
Standard Deviation
Mean
Median
Variance
