Statistics questions | form three Basic Mathematics

The information on age of employees of certain organization is given in the frequency table below.

1. Draw on the same axes to represent the given information :

1. a histogram
2. a frequency polygon

2. Calculate the mean, mode and median.
3. Comment on the results in part (a) and (b) above.

Answer / Solution

UNSOLVED

The following data represent the marks scored by 36 students of a certain school in Geography examination:

1. Prepare a frequency distribution table representing the given data by using the class interval: 50-54, 55-59, 60-64, and so on.
2. Use the frequency distribution table obtained in part(a) to:

1. Draw a histogram.
2. Calculate the median. Write the answer correct to 2 decimal places.

Answer / Solution

UNSOLVED

The following marks were obtained by 32 students in a physics examination:

32, 35, 42, 50, 46, 29, 39, 38, 45, 37, 48, 52, 37, 58, 52, 48, 36, 54, 37, 42, 64, 37, 34, 28, 58, 64, 34, 57, 54, 62, 48, 67.

1. Prepare a frequency distribution table using the class intervals: 24-29, 30-35 etc.
2. Draw the histogram.
3. Draw the cumulative frequency curve and use it to estimate the median.
4. Find the mean mark.

Answer / Solution

UNSOLVED

The number of patients who attended maternity clinic daily in June 2017 in a certain village was recorded as follows:

1. Make a frequency distribution by grouping the number of patients in the class intervals: 20-29, 30-39, 40-49,….
2. By using the frequency distribution table obtained in part (a), calculate the mean number of patients per day.
3. Construct a pie chart for the frequency ditribution obtained in part (a).

Answer / Solution

UNSOLVED

The scores of 45 pupils in a Civics test were recorded as follows:

1. Construct a frequency distribution table of the given data, taking equal class intervals: 21-40, 41-60…
2. Calculate the mean score.
3. Draw the cumulative frequency curve and use it to estimate the median.

Answer / Solution

UNSOLVED