Statistics questions | form three Basic Mathematics

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

1. Copy and complete this tally table for the data given above.

Use this table to:

2. Draw a histogram for the height of the plants.
3. Find the mean height of the plants ( do not use the assumed mean method).
4. Find the median of the heights of the plants.

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

07, 19, 78, 53, 43, 67, 112, 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.

1. Prepare the frequency distribution table using the class intervals 0-9, 10-19, 20-29, etc.
2. Which class interval has more students?
3. Represent the information in a histogram and a frequency polygony and then find the mode.
4.  Calculate the median mark.

Carefully study the frequency distribution table which shows marks for 40 students in History examination.

Determine

1. The mean, given the assumed mean is 50.5
2. the median
3. Modal class and its corresponding class mark.

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

1. Calculate the mean and mode.
2. Draw a cumulative frequency curve for the data.
3. 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.

1. Show the data in a frequency distribution table.
2. Draw a histogram and a frequency polygon to represent this data.
3. 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 :

1. The mean score if the assumed mean is obtained from the mid mark of the modal class;
2. The median;
3. The range.

The data below represent masses in kg of 36 men.

1. Prepare a frequency distribution table of class interval size 5 beginning with the number 50 taking into consideration that both lower limit and upper 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.

The age at which a child first walked (to the nearest month) was recorded for eight (8) children. The results were 12, 10, 16, 19, 10, 12, 12 and 13. Calculate the Mean, Mode and Median of the data.

A survey was made on the number of people attending conferences on one particular week. A random sample of 100 conference centres was taken and the results were as folloes:

1. Draw a histogram and a cumulative frequency curve to represent these results.
2. Estimate the median of this data from the cumulative frequency curve in (i) above.

The frequency distribution of the length of a sample of 100 nails , measured to the nearest mm is shown below.

1. How many nails have length less than 51.5 mm?
2. Calculate the mean length.
3. Draw a histogram and use it to estimate the modal length.
4. State the modal class.