... Answer all questions carefully.. I will reject incorrect answers
12:02 PM (M) . . . 785 167 B/s 1. Measures of central tendency 1. The results of a mathematics test that a hundred students took are as shown below:- Marks No. of students 30-34 35-39 40-44 10 45-49 14 50-54 X 55-59 24 60-64 14 65-69 6 (a) Determine (i) the value of X (ii) The modal class (b) Calculate the mean (c) The median 2. Without using logarithms or calculator evaluate: 210g105 - 3log102 + log1032 3. The table below shows heights of 50 students :- Height (cm) Frequency 140-144 145-149 15 150-154 19 155-159 11 160-164 (a) State the modal class (b) Calculate the median height 4. In an experiment, the height of 100 seedlings were measured to the nearest centimeter and the results were recorded as shown below; Height (cm) 20-24 25-29 30-34 35-39 40-44 45-49 Frequency 3 19 25 20 18 15 Calculate the median height 5. Given that x = -4 is a root of the equation 2x + 6x - 2k = 0; Find; (a) the value of k (b) the second root Marks 60-62 63 -68 69 -73 74 -80 Frequency 10 20 40 15 7. The table below shows the distribution of marks obtained by some candidates in a mathematics test Marks 30-39 40-49 50-59 60-69 70-79 80-89 90-99 No. of candidates 2 3 10 12 8 3 2 c.f a) state the total number of candidates who sat the test b) state the modal class c) calculate the mean mark using an assumed mean of 64.5 marks d) calculate the median mark O O12:02 PM (M) . . . Hill .Ill B/S 67 4. In an experiment, the height of 100 seedlings were measured to the nearest centimeter and the results were recorded as shown below: Height (cm) 20-24 25-29 30-34 35-39 40-44 45-49 Frequency 3 19 25 20 18 15 Calculate the median height 5. Given that x = -4 is a root of the equation 2x + 6x - 2k = 0; Find; (a) the value of k (b) the second root Marks 60-62 63-68 69-73 74-80 Frequency 10 20 40 15 7 The table below shows the distribution of marks obtained by some candidates in a mathematics test Marks 30-39 40-49 50-59 60-69 70-79 80-89 90-99 No. of candidates 2 3 10 12 8 3 2 c.f a) state the total number of candidates who sat the test b) state the modal class c) calculate the mean mark using an assumed mean of 64.5 marks d) calculate the median mark 8. Find these statistics of the following data 4, 2, 2, 6, 1, 3, 4, 1, 4 a) Mode b) Median c) Mean 9 (a) The marks scored by a group of form two students in a mathematical test were as recorded in the table below:- Marks 0-9 10-19 20-29 30-39 40-49 50-59 60-69 70-79 80-89 90-99 Frequency 1 2 14 10 16 20 6 3 1 (a) (i) State the modal class (ii) Determine the class in which the median mark lies (iii) Using an assumed mean of 54.5, calculate the mean mark 10. Six weeks after planting, the height of maize plants were measured correct to the nearest centimeter. The frequency distribution is given in the table below: Height (x) Osx
