For a skewed frequency distribution, $Q_3-Q_2>Q_2-Q_1$. State the type of skewness.
- ✓Positive skewness
- BNegative skewness
- CZero skewness
- DNothing can be said
Answer: A.
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Skewness of frequency distribution question types
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Sample Questions
Skewness of frequency distribution questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Which of the following statements is true for a symmetric frequency distribution ?
- A$Q_3+Q_1>2 M$
- B$Q_3+Q_1<2 M$
- ✓$Q_3+Q_1=2 M$
- D$Q_3-Q_1=2 M$
Answer: C.
View full solution →Which measures are taken as base to find skewness by Bowley's method ?
- AMean
- BMode
- CStandard deviation
- ✓Quartiles
Answer: D.
View full solution →The calculation to find coefficient of skewness is easy by which method ?
- ✓Bowley's method
- BKarl Pearson's method
- CFisher's method
- DMahalanobis' method
Answer: A.
View full solution →Which is the only method used to find skewness and coefficient of skewness for an open ended frequency distribution?
- AMahalanobis' method
- BFisher's method
- ✓Bowley's method
- DKarl Pearson's method
Answer: C.
View full solution →Mean and the third quartile for a symmetric frequency distribution are $80$ and $90$ respectively. Find the first quartile.
View full solution →In a symmetric frequency distribution, $M=50$. Find the value of $Q_3+Q_1$.
View full solution →For a frequency distribution, the distances of the third quartile and first quartile from the second quartile are 18 and 22 respectively. What can be said about the type of skewness in the frequency distribution?
The three quartiles of a frequency distribution are $16,20$ and $10$ . What can be said about the type of skewness in the frequency distribution ?
View full solution →If median and mean are $72$ and $75$ respectively for a set of data, what can be said about its type of skewness ?
View full solution →For a frequency distribution, mean $=35$, mode $=50$. If $Q_3+Q_1=70$ and $Q_3-Q_1=20$. Find Bowley's coefficient of skewness.
View full solution →Third quartile is at a distance of $11.2$ from the median in a frequency distribution and its first quartile is at a distance of $12.8$ from the median. Find the coefficient of skewness.
View full solution →For a skewed frequency distribution, $Q_2-Q_1=3\left(Q_3-Q_2\right)$. Find the coefficient of skewness.
View full solution →For a frequency distribution, skewness is $-3.3$ and quartile deviation is $11$ . Find the coefficient of skewness.
View full solution →For a frequency distribution, three quartiles are $40,45$ and $42$ . Find the coefficient of skewness and state the type of skewness.
View full solution →The information about marks of students from two commerce classes of standard $11$ of a school is as follows. Find the coefficient of skewness by Karl Pearson's and Bowley's method.
View full solution →| Weight (kg) | 65 | 60 | 54 | 52 | 50 | 48 | 46 | 45 |
| No. of persons | 2 | 5 | 7 | 8 | 6 | 4 | 5 | 3 |
The frequency distribution of number of $LED$ bulbs sold in an electric store is given below. Find the coefficient of skewness by Karl Pearson's method.
View full solution →| No. of typing errors | $2$ | $3$ | $4$ | $5$ | $6$ | $7$ | $8$ |
| No. of pages | $10$ | $15$ | $23$ | $9$ | $23$ | $12$ | $8$ |
The distribution of number of typing errors per page in a book is given below. Find the coefficient of skewness by Karl Pearson's method.
View full solution →| No. of typing errors | $2$ | $3$ | $4$ | $5$ | $6$ | $7$ | $8$ |
| No. of pages | $10$ | $15$ | $23$ | $9$ | $23$ | $12$ | $8$ |
In $100$ different days during a year, minimum $20$ and maximum $149$ pilgrims visited a religious place. Its frequency distribution is as follows. Find the coefficient of skewness using Bowley's method by preparing an inclusive frequency distribution taking class length $10$ for the first class.
View full solution →| No. of pilgrims (less than) | $29$ | $49$ | $69$ | $99$ | $129$ | $149$ |
| No. of days | $8$ | $21$ | $48$ | $75$ | $90$ | $100$ |
The frequency distribution of advertisement expenses (in thousand ₹) of $100$ companies is as follows. Find the coefficient of skewness by Bowley's method.
View full solution →| Advertisement expenses (thousand ₹) | $20-39.9$ | $40-59.9$ | $60-79.9$ | $80-99.9$ | $100-119.9$ |
| No. of companies | $18$ | $20$ | $23$ | $22$ | $17$ |
The frequency distribution of number of $T.V$. sets (in units) produced by a company in the last $50$ days is as follows. Find the coefficient of skewness by $ Karl Pearson's$ method.
View full solution →| Midvalue | $5$ | $20$ | $45$ | $80$ | $125$ |
| Class length | $10$ | $20$ | $30$ | $40$ | $50$ |
| No. of days | $2$ | $12$ | $16$ | $16$ | $4$ |
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