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Distinguish between Descriptive statistics and inferential statistics Kurtosis and Skewness Discrete variable and continuous variable (6 Marks) The number of goals scored in a series

  1. Distinguish between
  2. Descriptive statistics and inferential statistics
  3. Kurtosis and Skewness
  4. Discrete variable and continuous variable (6 Marks)

  1. The number of goals scored in a series of football matches were as follows

Number of goals

1

2

3

4

5

Number of teams

3

4

1

2

x

If the mean number of goals is 3.25, find x. (5 Marks)

Hence calculate the geometric mean. (4 Marks)

  1. The following are Marks of 30 students;

53,39,83,44,79,48,28,61,27,33,85,71,83,73,57,

67,52,81,54,52,35,23,73,38,65,58,59,44,84,52.

Draw a stem and leaf diagram for the above data. (5 Marks

  1. Define the statistical term 'histogram'. Draw a histogram for the following distribution.

Height(inches) 60-62 63-65 66-68 69-71 72-74
No. of students 5 18 42 27 8

(4 Marks)

There are three candidates for the position of a head teacher-Ochieng, Abdul and Njeri, whose probabilities of getting the appointment are and respectively. The probability that Ochieng if selected will introduce co-education in the school is 0.3. The probability of Abdul and Njeri doing the same are respectively 0.5 and 0.8. What is the probability that there will be co-education in school? (4 Marks)

  1. Explain the four levels of measurements. (2 Marks)

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