The following were the scores of 35 students in a mathematics mock examination:

07, 19, 78, 53, 43, 67, 12, 54, 27, 22, 33, 80, 25, 58, 50, 36, 65, 33, 16, 19, 34, 20, 55, 27, 37, 41, 04, 32, 48, 28, 70, 31, 61, 08, 35

(a)  Prepare the frequency distribution table using the class intervals: 0–9, 10–19, 20–29, etc.

(b)  Which class interval has more students?

(c)  Represent the information in a histogram and a frequency polygon and then find the mode.

(d)  Calculate the median mark.

.  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 number of patients who attended maternity clinic daily in June 2 in a certain village was recorded as follows:

(a)  Make a frequency distribution by grouping the number of patients in the class intervals: 20 - 29, 30 - 39, 40 - 49, ....

(b)By using the frequency distribution table obtained in part (a), calculate the mean number of patients per day.

(c)  Construct a pie chart for the frequency distribution obtained in part (a).

The examination scores in Basic Mathematics of 40 Form IV students are given in the following cumulative frequency table

(a)Find the mean score using assumed mean A=44.5

(b)Draw Histogram and use it to estimate the mode

(c)Calculate the median

The following are the marks obtained by 40 students in one of the Basic Mathematics examinations:

(a) Prepare a frequency distribution using the information: number of classes = 8; size of each class = 8 and the lower limit of the first class interval = 32.

(b) Use the frequency distribution obtained in part (a) to find the actual mean when the assumed mean is 83.5.

(c) Calculate the difference between the actual mean and the median of this distribution. Hence, comment on the difference obtained.

The table below represents the scores in general cleanliness of 30 students

1. Find the value of m
2. Complete the table and find ?f, ?fx
3. Find the mean (average) score
4. Find the mode
5. Construct an ogive and use it to estivate the median

Consider the following frequency distribution tale below;

Draw the histogram and use it to estimate the mode in one decimal place.

The number of workers absent in 52 working days is given in a cumulative frequency table below

Find 

1. Percentage of workers who are absent at least for 20 days
2. Median

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.

Carefully study the frequency distribution table which shows the marks of 100 students in a Physics examination.

Calculate

(a) the mean given the assumed mean is 75.5,

(b) the median in two decimal places,

(c) the mode in two decimal places.

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.

If the first term of an arithmetic progression is 3 and the third term is 13, find the second term, the fourth term and the sum of the first ten terms.

The masses of 40 parcels handled at transport office were recorded as shown in table below

a)Find value of x

b)Determine modal class and its corresponding class mark

c)Find Median

The data below represent masses in kg of 36 men.

1. Prepare a frequency distribution table of class interval of size 5 beginning with the number 50 taking into consideration that both lower limit and upper class limits are inclusive.
2. Calculate the mean and mode from the frequency distribution table prepared in (i) above by using assumed mean from the class mark of the modal class. (10 marks)

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

(a)Prepare a frequency distribution table representing the given data by using the class intervals: 50 - 54, 55 -59, 60 - 64, and so on.

(b)Use the frequency distribution table obtained in part (a) to:

(i)Draw a histogram.

(ii)Calculate the median. Write the answer correct to 2 decimal places.

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.

The heights of 50 plants recorded by a certain researcher are given below:

56 82 70 69 72 37 28 96 52 88 41 42 50 40 51 56 48 79 29 30 66 90

99 49 77 66 61 64 97 84 72 43 73 76

76 22 46 49 48 53 98 45 87 88 27 48

54 79 80 73

(a)  Copy and complete this tally table for the data given above.

Use this table to:

(b)  Draw a histogram for the height of the plants.

(c)  Find the mean height of the plants (do not use the assumed mean method).

(d)  Find the median of the heights of the plants.