Statistics questions | form three Basic Mathematics

(6557) Question Category: Mathematical Calculation

The following table represents age distribution of members of a school choir.

Age 14 15 16 17 18 19
Frequency 2 1 3 6 5 3
  1. How many students are in the school choir?
  2. What is the modal age?
  3. Calculate the mean age of the members of the school choir.
  4. What is the probability that a member chosen at random from the choir is
  1. 17 year old?
  2. over or equal to 17 years?
  1. Draw a pie chart to show the age distribution of the members of the school choir.

Answer / Solution

UNSOLVED

(6558) Question Category: Mathematical Calculation

The table below shows the masses of 100 students to the nearest kilogram.

Mass (kg) 60-62 63-65 66-68 69-71 72-74
Frequency 5 18 42 27 8
  1. Determine the mean of the masses
  2. Find the mode
  3. Draw a cumulative frequency curve and use it to determine the median of the masses.

Answer / Solution

UNSOLVED

(6559) Question Category: Mathematical Calculation

Carefully study the frequency distribution table for the scores of 68 students (in percentage) given here under.

Class Boundary (in Percentage) 30-39 40-49 50-59 60-69 70-79 80-89 90-99
Frequency 6 12 14 16 8 6 6
  1. Determine the mode of the scores.
  2. Calculate the median of the scores
  3. A student is chosen at random from the frequency distribution table above . What is the probability that his score is below 60%?.

Answer / Solution

UNSOLVED

(6560) Question Category: Mathematical Calculation

The heights in centimetres of 100 students of a certain school were recorded as follows:

height in Centimetres 150 155 160 165 170 175 180 185 190
Frequency 4 9 12 16 25 20 8 4 2

From the above information answer the following questions.

  1. Draw a frequency polygon
  2. Determine the mean , median and mode
  3. Compute the variance and standard deviation.
  4. a student is chosen at random from this school. What is the probability that his height is greater than 160cm?

Answer / Solution

UNSOLVED

(6561) Question Category: Mathematical Calculation

The mean of n numbers is 20. If the same numbers together with 30 give a new mean of 22, find n.

Answer / Solution

UNSOLVED


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