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Measures of Central Tendency
The mean of following numbers is 68. Find the value of ‘x’. 45, 52, 60, x, 69, 70, 26, 81 and 94 Hence estimate the median.
Data in ascending order
26, 45, 52, 60, 69, 70, 81, 94, 115
Hence, the median is 69.
The table shows the distribution of the scores obtained by 160 shooters in a shooting competition. Use a graph sheet and draw an ogive for the distribution ( Take 2 cm = 10 scores on the X-axis and 2 cm = 20 shooters on the Y-axis ).
| Scores | 0 - 10 | 10 - 20 | 20 - 30 | 30 - 40 | 40 - 50 | 50 - 60 | 60 - 70 | 70 - 80 | 80 - 90 | 90 - 100 |
| No. of shooters |
9 | 13 | 20 | 26 | 30 | 22 | 15 | 10 | 8 | 7 |
Use your graph to estimate the following:
(i) The median.
(ii) The interquartile range.
(iii) The number of shooters who obtained a score of more than 85 %.
| Scores | f | c.f. |
| 0 - 10 | 9 | 9 |
| 10 - 20 | 13 | 22 |
| 20 - 30 | 20 | 42 |
| 30 - 40 | 26 | 68 |
| 40 - 50 | 30 | 98 |
| 50 - 60 | 22 | 120 |
| 60 - 70 | 15 | 135 |
| 70 - 80 | 10 | 145 |
| 80 - 90 | 8 | 153 |
| 90 - 100 | 7 | 160 |
| n = 160 |
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Mock Test Series
Mock Test Series




