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MATH106 Quiz-6
The last Quiz
1. Find Mean, Median and Mode for the following ungrouped data:
1, 1, 2, 4, 5, 7, 10, 10, 10, 20
2. Calculate Mean value of x for the data given in the table (show work):
x
8
10
14
20
Frequency
2
3
4
1
3. Calculate standard deviation
for the following data (show work):
5, 9, 14, 20, 22, 26
4. The Figure shows results of data collection
for Group 1 and Group 2 in Box Plot format.
Use definition of Quartiles to find:
a) Interquartile Range for group 2 (roughly)?
b) time range for upper 25% of data in group 1?
c) time range for upper 50% of data in group 2?
5. Practice with formula for Combinations: C(n,k)= nCk =
Here n! (n-factorial) means: multiply numbers from 1 to n.
Here are some examples: 4!=1×2×3×4=24; (5-2)! =3!=1×2×3=6
Apply this formula and calculate C(5,3)= 5C3
6. Use formula for Binomial Probability of x successes in n trials P(x) = nCk · px ·(1-p)n-x
to calculate probability that you toss coin 5 times and will have exactly 3 heads.
Low case p is probability of success (having head) in each trial.
For nCk use result from question 4.
7. Use attached Table for Normal Distribution to find area under the Bell-shaped curve
to the right of z = 0.55.
Remember: table shows the area under the curve to the left of z.
8. Test results have Normal Distribution with average 200 and standard deviation 50.
What percentage of students has score below 150?
Tip: Convert 150 to z-values and then use attached Table for Normal Distribution.