Advertisements
Advertisements
Question
Find Q1, Q3, D8 and P67 of the following data:
| Size of Shares | 4 | 4.5 | 5 | 5.5 | 6 | 6.5 | 7 | 7.5 | 8 |
| Frequency | 10 | 18 | 22 | 25 | 40 | 15 | 10 | 8 | 7 |
Advertisements
Solution
| Size of Shares | Frequency | Cumulative Frequency |
| 4 | 10 | 10 |
| 4.5 | 18 | 28 |
| 5 | 22 | 50 |
| 5.5 | 25 | 75 |
| 6 | 40 | 115 |
| 6.5 | 15 | 130 |
| 7 | 10 | 140 |
| 7.5 | 8 | 148 |
| 8 | 7 | 155 |
| N = 155 |
Q1 = Size of `(("N" + 1)/4)^"th"` value
= Size of `((155 + 1)/4)^"th"` value
= Size of 39th value
Q1 = 5
Q3 = Size of `[3(("N" + 1)/4)]^"th"` value
= Size of `(3 xx 156/4)^"th"` value
= Size of 117th value
Q3 = 6.5
D8 = Size of `[8(("N" + 1)/10)]^"th"` value
= Size of `[8((155 + 1)/10)]^"th"` value
= Size of `(8 xx 156/10)^"th"` value
= Size of 124.8th value
D8 = 6.5
P67 = Size of `[67(("N" + 1)/100)]^"th"` value
= Size of `((67 xx 156)/100)^"th"` value
= Size of 104.52th value
P67 = 6
APPEARS IN
RELATED QUESTIONS
Find the first quartile and third quartile for the given observations.
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22
Calculate GM for the following table gives the weight of 31 persons in the sample survey.
| Weight (lbs): | 130 | 135 | 140 | 145 | 146 | 148 | 149 | 150 | 157 |
| Frequency | 3 | 4 | 6 | 6 | 3 | 5 | 2 | 1 | 1 |
Calculate AM, GM and HM and also verify their relations among them for the following data.
| X | 5 | 15 | 10 | 30 | 25 | 20 | 35 | 40 |
| f | 18 | 16 | 20 | 21 | 22 | 13 | 12 | 16 |
The geometric mean of two numbers 8 and 18 shall be
Harmonic mean is better than other means if the data are for
The measure of central tendency that does not get affected by extreme values:
Define the mean.
Which type of average is defined as the value repeated the maximum number of times in a dataset?
If each value in a dataset is increased by the same constant, what happens to the mean and median?
A frequency distribution has two classes with the highest and equal frequencies. What can be said about its mode?
