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प्रश्न
The following table gives the monthly consumption of electricity of 100 families:
| Monthly Consumption (in units) |
130 – 140 | 140 – 150 | 150 – 160 | 160 – 170 | 170 – 180 | 180 – 190 | 190 – 200 |
| Number of families |
5 | 9 | 17 | 28 | 24 | 10 | 7 |
Find the median of the above data.
उत्तर
From the given table,
| Monthly Consumption |
Number of Families (f) |
Cumulative frequency (C.f.) |
| 130 – 140 | 5 | 5 |
| 140 – 150 | 9 | 14 |
| 150 – 160 | 17 | 31 |
| 160 – 170 | 28 | 59 |
| 170 – 180 | 24 | 83 |
| 180 – 190 | 10 | 93 |
| 190 – 200 | 7 | 100 |
We have, N = 100
`N/2` = 50
Median class = 160 – 170
`\implies` l = 160, f = 28, Cf = 31, h = 10
Median = `l + [((N/2 - Cf))/f] xx h`
= `160 + [((50 - 31))/28] xx 10`
= `160 + [19/28] xx 10`
= 160 + 6.78
= 166.78
संबंधित प्रश्न
A survey regarding the height (in cm) of 51 girls of class X of a school was conducted and the following data was obtained:
| Height in cm | Number of Girls |
| Less than 140 | 4 |
| Less than 145 | 11 |
| Less than 150 | 29 |
| Less than 155 | 40 |
| Less than 160 | 46 |
| Less than 165 | 51 |
Find the median height.
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| Number of workers | 40 | 32 | 48 | 22 | 8 |
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Given below is the number of units of electricity consumed in a week in a certain locality:
| Class | 65 – 85 | 85 – 105 | 105 – 125 | 125 – 145 | 145 – 165 | 165 – 185 | 185 – 200 |
| Frequency | 4 | 5 | 13 | 20 | 14 | 7 | 4 |
Calculate the median.
If the median of the data: 24, 25, 26, x + 2, x + 3, 30, 31, 34 is 27.5, then x =
If the mean of the following distribution is 3, find the value of p.
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| f | 9 | 6 | 9 | 3 | 6 |
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| 600 - 800 | 12 |
| 800 - 1000 | 14 |
| 1000 - 1200 | 40 |
| 1200 - 1400 | 15 |
| 1400 - 1600 | 19 |
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| Number of students | 5 | 8 | 20 | 15 | 7 | 5 |
Read the following passage and answer the questions given below.
|
Electric buses are becoming popular nowadays. These buses have the electricity stored in a battery. Electric buses have a range of approximately 280 km with just charge. These buses are superior to diesel buses as they reduce brake wear and also reduce pollution. 'transport department of a city wants to buy some electric buses for the city. So, the department wants to know the distance travelled by existing public transport buses in a day. The following data shows the distance travelled by 50 existing public transport buses in a day.
|
| Daily distance travelled (in km) | 100 – 120 | 120 – 140 | 140 – 160 | 160 – 180 | 180 – 200 |
| Number of buses | 12 | 14 | 8 | 6 | 10 |
- Find the 'median' distance travelled by a bus.
- Find the 'mean (average)' distance travelled by a bus.
The following table shows classification of number of workers and number of hours they work in software company. Prepare less than upper limit type cumulative frequency distribution table:
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| 8 - 10 | 150 |
| 10 - 12 | 500 |
| 12 - 14 | 300 |
| 14 - 16 | 50 |
