Statistics questions | form two Basic Mathematics

The following table shows marks scored by Form Two students in a Mathematics test at Jitahidi Secondary School.

(a) What was the lowest mark?
(b) What mark was scored by the most students?
(c) If 50% was the pass mark, how many students passed the test?
(d) What was the percentage of the students who scored at least 50 percent?

The scores of a mathematics test by 50 Form Two pupils in a certain school are as shown in the following table.

(a) Find the value of “b” and calculate the number of students who scored 55% and above.
(b) Calculate the mean score.

The table below shows the masses in kilogrammes of Form one students at Mtakuja Secondary School

(i) Find the total number of students

(ii) Draw a frequency polygon and histogram on the same axes

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.
(a) Prepare a frequency distribution table using the class intervals: 24 29, 30 35 etc.
(b) Draw the histogram.
(c) Draw the cumulative frequency curve and use it to estimate the median.
(d) Find the mean mark.

The following distribution table shows the scores of 64 students in a Chemistry weekly test.

1. Calculate the mean and mode.
2. Draw the ogive and use it to estimate the median:

The information on age of employees of a 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 on part (a) and (b) above.

The heights of some plants grown in a laboratory were recorded after 5 weeks. The results are shown in the following table:

(a) Calculate the mean and mode.
(b) Draw a cumulative frequency curve for the data.
(c) Estimate the median from the graph.

In a survey of the number of children in 12 houses, the following data resulted: 1, 2, 3, 4, 2, 2, 1, 3, 4, 3, 5, 3
(a) Show this data in a frequency distribution table.
(b) Draw a histogram and a frequency polygon to represent this data.
(c) Calculate the mean and mode number of children per house.

The following table gives the scores of sixty students in a Basic Mathematics test.

Calculate:
(a) The mean score if the assumed mean is obtained from the mid mark of the modal class;
(b) The median;
(c) The range.

A survey was done among students in a certain school in order to find the most popular subject. In this survey each student voted once and the results were as follows.

Show this information in a pie chart.