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3391. Category: (Mathematical Calculation)

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

Marks % 40 45 50 55 60 65 70
Number of students 6 8 13 5 9 4 5

(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?

3392. Category: (Mathematical Calculation)

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

Marks % 45 50 55 60 65 70 75 80
Number of students 6 b+3 2b+3 b 9 4 5 0

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

3393. Category: (Mathematical Calculation)

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

Class interval 41-45 46-50 51-55 56-60 61-65 66-70
Frequency 3 8 13 11 7 3

(i) Find the total number of students

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

3394. Category: (Mathematical Calculation)

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.

3395. Category: (Mathematical Calculation)

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

Scores 30-39 40-49 50-59 60-69 70-79 80-89 90-99
Frequency 5 10 15 17 4 6 7
  1. Calculate the mean and mode.
  2. Draw the ogive and use it to estimate the median:
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