1. Calculate the median point in the following distribution of
eighth-grade composition scores on the Hillegas scale.
Quality 0 18 26 37 47 58 67
Frequency 2 68 73 3
2. Calculate the median point in the following distribution of
third-grade scores on the Woody subtraction scale.
No. problems 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
Frequency 2 2 2 3 3 5 4 5 8 16 16 16 23 20 21 11 22 11 2
22 23 24 +
1
3. Compare statistically the achievements of the children in two
eighth-grade classes whose scores on the Courtis addition tests were as
follows:
Class A--6, 5, 8, 9, 7, 10, 13, 4, 8, 7, 8, 7, 6, 8, 15, 6, 7, 0, 6, 9,
5, 8, 7, 10, 8, 4, 7, 8, 6, 9, 5, 7, 2, 6, 8, 5, 7, 8, 7, 8, 5, 8, 10,
6, 3, 6, 8, 17, 5, 7.
Class B--10, 4, 8, 13, 11, 9, 8, 10, 7, 9, 11, 10, 18, 7, 12, 9, 10, 8,
11, 10, 12,
9, 2, 11, 8, 10, 9, 14, 11, 7, 10, 12, 10, 6, 11, 8, 10, 9, 10, 17, 8,
11,
9, 7, 9, 11, 8, 12, 9, 13.
4. If the marks received in algebra and in geometry by a group of high
school pupils were as given below, what relationship is indicated by the
coefficient of correlation?
|GEOMETRY |ALGEBRA
|MARKS |MARKS
1. |80 |60
2. |68 |73
3. |65 |80
4. |96 |80
5. |59 |62
6. |75 |65
7. |90 |75
8. |86 |90
9. |52 |63
10. |70 |55
11. |63 |54
12. |85 |95
13. |93 |90
14. |87 |70
15. |82 |68
16. |79 |75
17. |78 |86
18. |79 |75
19. |82 |60
20. |70 |82
21. |52 |86
22. |94 |85
23. |72 |73
24. |53 |62
25. |94 |85
5. Compare the abilities of the 10-year-old pupils in the sixth grade
with the abilities of the 14-year-old pupils in the same grade, in so
far as these abilities are measured by the completion of incomplete
sentences.
(Note: 5 = 5.0-5.999.)
==================================================
NO. SENTENCES | |
COMPLETED | 10-YEAR-OLDS | 14-YEAR-OLDS
--------------+--------------+--------------------
24 |-- |--
23 |-- |--
22 |-- |--
21 |1 |--
20 |-- |--
19 |-- |--
18 |-- |--
17 |-- |1
16 |3 |--
15 |-- |2
14 |7 |4
13 |10 |3
12 |18 |7
11 |9 |10
10 |7 |9
9 |8 |10
8 |2 |10
7 |3 |10
6 |-- |2
5 |2 |3
4 |-- |2
3 |-- |--
2 |-- |1
1 |-- |--
0 |-- |--
===========================================
6. From the scores given here, calculate the relationship between
ability to spell and ability to multiply. Use the average as the central
tendency.
==============================
PUPIL|SPELLING|MULTIPLICATION
-----+--------+---------------
A |9 |22
B |10 |16
C |2 |19
D |6 |14
E |13 |24
F |8 |22
G |10 |17
H |7 |20
I |3 |21
J |2 |21
K |14 |20
L |8 |18
M |7 |23
N |11 |25
O |8 |25
P |17 |24
Q |10 |21
R |4 |16
S |9 |15
T |6 |19
U |12 |22
V |14 |19
W |8 |17
X |3 |20
Y |11 |18
==============================
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