Mathematics
From the following frequency distribution find :
(i) Median
(ii) Lower quartile (Q1)
(iii) Upper quartile (Q3)
(iv) Interquartile range
| Variate | Frequency |
|---|---|
| 26 | 6 |
| 25 | 4 |
| 18 | 8 |
| 16 | 9 |
| 30 | 5 |
| 28 | 11 |
| 20 | 13 |
| 23 | 4 |
Related Questions
From the following frequency distribution, find:
(i) Median
(ii) Lower quartile
(iii) Upper quartile
(iv) Semi-interquartile range
Variate Frequency 13 6 15 4 18 11 20 9 22 16 24 12 25 2 The heights (in nearest cm) of 63 students of a certain school are given in the following frequency distribution table:
Height (in cm) Number of students 150 9 151 12 152 10 153 8 154 11 155 7 156 6 Find :
(i) Median
(ii) Lower quartile (Q1)
(iii) Upper quartile (Q3)
(iv) Interquartile range from the above data.
The following table shows the weights (in gm) of a sample of 100 apples, taken from a large consignment:
Weight (in gm) Number of apples 50 - 60 8 60 - 70 10 70 - 80 12 80 - 90 16 90 - 100 18 100 - 110 14 110 - 120 12 120 - 130 10 (i) Construct the cumulative frequency table
(ii) Draw the cumulative frequency curve on a graph paper and from it, determine the median weight of the apples.
Marks obtained by 200 students in an examination are given below:
Marks Number of students 0 - 10 5 10 - 20 11 20 - 30 10 30 - 40 20 40 - 50 28 50 - 60 37 60 - 70 40 70 - 80 29 80 - 90 14 90 - 100 6 Draw an ogive for the given distribution taking 1 cm = 10 marks on one axis and 2 cm = 20 students on other axis.
Using the graph, determine :
(i) The median marks
(ii) The number of students who failed, if minimum marks required to pass is 40.
(iii) If scoring 85 and more marks is considered as grade one, find the number of students who secured grade one in the examination.