Statistics questions | form three Basic Mathematics

(6542) Question Category: Mathematical Calculation

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 80 73 54 79
  1. Copy and complete this tally table for the data given above.
Height (cm) Tally Frequency
21-30    
31-40    
41-50    
51-60    
61-70    
71-80    
81-90    
91-100    

Use this table to:

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

Answer / Solution

UNSOLVED

(6543) Question Category: Mathematical Calculation

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.

Answer / Solution

UNSOLVED

(6544) Question Category: Mathematical Calculation

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

Marks 1-20 21-40 41-60 61-80 81-100
Number of students 3 11 12 8 6

Determine

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

Answer / Solution

UNSOLVED

(6545) Question 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
  1. Calculate the mean and mode.
  2. Draw a cumulative frequency curve for the data.
  3. Estimate the median from the graph.

Answer / Solution

UNSOLVED

(6546) Question 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.

  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.

Answer / Solution

UNSOLVED


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