Find the standard deviation

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1. During UEFA Euro 2016 competition the football national team with the lowest average age was England. The following table gives the ages of the 23 English football players. Estimate the mean age the mode and the median of the English football team.

29 30 31 27 31 26 23 26 27 23 27 21 23 26 29 31 25 23 19 31 22 27 30

2. The next table presents the ages of the employees in an industrial company that produce soft drinks. Find the mean, median and mode.

Ages(???? ) Employees(???? )

[20,30) 8
[30,40) 14
[40,50) 12
[50,60) 6
[60,70) 2

3. The weekly hours of usage of web from a high school class of 25 students given below:

12 12 7 13 8 16 7 17 23 8 19 13 20 5 9 6 27 6 11 13 10 10 9 42 35

a) Find the range of the values.

b) Estimate the interquartile range.

c) State whether outlier values exists.

4. At the beginning of the academic year 50 students were asked to answer how many books they have read during the summer vacations. Their answers are presented in the table below.
Number of books (???? ) 0 1 2 3 4 5
Number of students (???? ) 8 17 11 3 7 4

a) Find the mode(????) of the above set of values.

b) Find the median value(??~).

c) Find the mean value(??¯).

d) Find the Standard deviation(??).

5. The mean height of six basketball players is 198cm. If the height of 5 of them are 198,201,207,195,186 calculate the height of the sixth player.

6. A fair dice rolled twice. Write down the space sample and find the probability of the events:

A: Sum greater than 8

B: Sum less than 3

C: Two even numbers

7. A family has 3 children. Make the tree diagram and write down the space sample. Find what is the probability:

A: All children have the same sex.

B: The bigger child is a boy.

C: At least 2 child are girls.

8. A card is chosen from a deck of cards, the result is recorded while the card is replaced. The results of the experiment are given below.

Card suit Diamonds Hearts Clubs Spades

Number 10 6 7 9

Find the experimental probability of choosing a club.

Reference no: EM132850639

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