Statistics questions | form three Basic Mathematics

(6547) Question 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 :

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

Answer / Solution

UNSOLVED

(6548) Question Category: Mathematical Calculation

The data below represent masses in kg of 36 men.

51 61 60 70
75 71 75 70
74 73 72 82
70 71 76 74
50 68 68 66
65 72 69 64
83 63 83 58
80 90 50 89
55 62 62 61
  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.

Answer / Solution

UNSOLVED

(6549) Question Category: Mathematical Calculation

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.

Answer / Solution

UNSOLVED

(6550) Question Category: Mathematical Calculation

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:

Number of people attending conference 150-154 155-159 160-164 165-169 170-174
Number of conference centres 8 16 43 29 4
  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.

Answer / Solution

UNSOLVED

(6551) Question Category: Mathematical Calculation

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

Length 4-42 43-45 46-48 49-51 52-54 55-57 58-60
Frequency 4 9 13 20 34 18 2
  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.

Answer / Solution

UNSOLVED


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