Statistics questions

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:

3396. Category: Mathematical Calculation

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

Age	15-19	20-24	25-29	30-34	35-39	40-44	45-49	50-54	55-59
Freq	5	23	58	104	141	98	43	19	6

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.

3397. Category: Mathematical Calculation

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

Height(cm)	11-15	16-20	21-25	26-30	31-35	36-40
Frequency	4	8	20	21	12	3

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

3399. Category: Mathematical Calculation

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.

3400. Category: Mathematical Calculation

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

Scores	Frequency
0-10	5
10-20	7
20-30	15
30-40	25
40-50	8

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.

4429. Category: Mathematical Calculation

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.

Subject	Mathematics	English	Biology	History	Geography	Physics
Number of pupils	50	80	120	40	80	30

Show this information in a pie chart.

NOTES Related to Statistics questions.

To display information by pictograms

To interpret pictograms

To draw horizontal and vertical bar charts

To interpret bar charts

To represent data using line graphs

To interpret line graphs

To display data using pie charts

To interpret pie charts

To make frequency distribution tables from raw data

To interpret frequency distribution tables

To draw frequency distribution polygons from frequency distribution tables

To interpret frequency polygons

To draw histograms from frequency distribution tables

To interpret histograms

To draw cumulative frequency curve from a cumulative frequency distribution table

To interpret a cumulative frequency curve

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