For any data, $Z+\bar{x}=71$ and $Z -\bar{x}=3$ then using inter-relation between mean, mode and median value of $M =$
- A$31$
- B$38$
- ✓$35$
- D$34$
Answer: C.
View full solution →136 questions across 8 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
M.C.Q (1 Marks)
59 Q→02Fill In The Blanks[1 Marks ]
18 Q→03True False[1 Marks ]
11 Q→041 Marks Question
6 Q→052 Marks Questions
11 Q→063 Marks Question
10 Q→07Match The Following.
6 Q→084 Marks Questions
15 Q→One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Answer: C.
View full solution →Answer: B.
View full solution →Answer: B.
View full solution →| Class | $20-30$ | $30-40$ | $40-50$ | $50-60$ | $60-70$ |
| Frequency | $10$ | $15$ | $15$ | $20$ | $10$ |
Answer: C.
View full solution →Answer: A.
View full solution →| Number of cars | $0-10$ | $10-20$ | $20-30$ | $30-40$ | $40-50$ | $50-60$ | $60-70$ | $70-80$ |
| Frequency | $7$ | $14$ | $13$ | $12$ | $20$ | $11$ | $15$ | $8$ |
| Runs scored | Number of batsmen |
| $3000-4000$ | $4$ |
| $4000-5000$ | $18$ |
| $5000-6000$ | $9$ |
| $6000-7000$ | $7$ |
| $7000-8000$ | $6$ |
| $8000-9000$ | $3$ |
| $9000-10000$ | $1$ |
| $10000-11000$ | $1$ |
| Class interval | Number of students $(f_i)$ | Classmark $(x_i)$ | $f_ix_i$ |
| $10 - 25$ | $2$ | $17.5$ | $35.0$ |
| $25 - 40$ | $3$ | $32.5$ | $97.5$ |
| $40 - 55$ | $7$ | $47.5$ | $332.5$ |
| $55 - 70$ | $6$ | $62.5$ | $375.0$ |
| $70 - 85$ | $6$ | $77.5$ | $465.0$ |
| $85 - 100$ | $6$ | $92.5$ | $555.0$ |
| Total | $\sum f_{i}$ $= 30$ | $\sum f_{i}x_i$ $= 1860.0$ |
| Family size | $1-3$ | $3-5$ | $5-7$ | $7-9$ | $9-11$ |
| Number of families | $7$ | $8$ | $2$ | $2$ | $1$ |
| Literacy rate (in %) | $45-55$ | $55-65$ | $65-75$ | $75-85$ | $85-95$ |
| Number of cities | $3$ | $10$ | $11$ | $8$ | $3$ |
| Number of days | $0-6$ | $6-10$ | $10-14$ | $14-20$ | $20-28$ | $28-38$ | $38-40$ |
| Number of students | $11$ | $10$ | $7$ | $4$ | $4$ | $3$ | $1$ |
| Concentration of $SO_2$ (in ppm) | Frequency |
|---|---|
| $0.00-0.04$ | $4$ |
| $0.04-0.08$ | $9$ |
| $0.08-0.12$ | $9$ |
| $0.12-0.16$ | $2$ |
| $0.16-0.20$ | $4$ |
| $0.20-0.24$ | $2$ |
| Daily expenditure (in ₹) | $100-150$ | $150-200$ | $200-250$ | $250-300$ | $300-350$ |
| Number of households | $4$ | $5$ | $12$ | $2$ | $2$ |
| Number of heartbeats per minute | $65-68$ | 68-71 | $71-74$ | $74-77$ | $77-80$ | $80-83$ | $83-86$ |
| Number of women | $2$ | $4$ | $3$ | $8$ | $7$ | $4$ | $2$ |
| $A$ | $B$ |
| $Q.1.$ Formula to find mean by direct method is | $(a) l+\left[\frac{f_1-f_0}{2 f_1-f_0-f_2}\right] \times h$ |
| $Q.2.$ For grouped frequency distribution, mode $= .....$ | $(b)\bar{x} =\frac{\Sigma f_i x_i}{\Sigma f_i}$ |
| $(c) \quad l+\left[\frac{f_1-f_2}{f_1-f_0 f_2}\right] \times h$ |
| $A$ | $B$ |
| $Q.1.$ Mean by step deviation method is $.........$ | $(a)\bar{x}=a+\frac{\Sigma f_i x_i}{n} \times h $ |
| $Q.2.$ For grouped frequency distribution, mode $=$ | $(b)\ \bar{x}=a+\frac{\Sigma f_i u_i}{\Sigma f_i} \times h$ |
| $(c) 3 ($Median$) – 2 ($mean$)$ |
| $A$ | $B$ |
| $Q.1.$ For a frequency distribution, if $Z =30$ and $M =34$ then $\bar{x}=\ldots \ldots$ | $(a) 26$ |
| $Q.2.$ For any frequency distribution, if $M =24$ and $\bar{x}=22$ then $Z =\ldots \ldots$ | $(b) 36$ |
| $(c) 28$ |
| $A$ | $B$ |
| $Q.1$. If $M =18$ and $Z =20$ for any frequency distribution then $\bar{x}=$__________ | $(a) 27$ |
| $Q.2.$ If $M =42$ and $\bar{x}=35$ for any frequency distribution then $Z =\ldots \ldots.$ | $(b) 56$ |
| $(c) 17$ |
| $A$ | $B$ |
| $Q.1.$ In the formula to find mean by step deviation method, h stands for _________ | $(a) 36$ |
| $Q.2.$ If $Z =32$ and $\bar{x}=44$ for any frequency distribution, then find the value of $M$. | $(b)$ class length |
| $(b) 40$ |
| Number of students per teacher | Number of states/U.T. |
| $15 - 20$ | $3$ |
| $20 - 25$ | $8$ |
| $25 - 30$ | $9$ |
| $30 - 35$ | $10$ |
| $35 - 40$ | $3$ |
| $40 - 45$ | $0$ |
| $45 - 50$ | $0$ |
| $50 - 55$ | $2$ |
| Expenditure (in ₹) | Frequency |
| $1000-1500$ | $24$ |
| $1500-2000$ | $40$ |
| $2000-2500$ | $33$ |
| $2500-3000$ | $28$ |
| $3000-3500$ | $30$ |
| $3500-4000$ | $22$ |
| $4000-4500$ | $16$ |
| $4500-5000$ | $7$ |
| Age (in years) | $5-15$ | $15-25$ | $25-35$ | $35-45$ | $45-55$ | $55-65$ |
| Number of patients | $6$ | $11$ | $21$ | $23$ | $14$ | $5$ |
| Number of mangoes | $50-52$ | $53-55$ | $56-58$ | $59-61$ | $62-64$ |
| Number of boxes | $15$ | $110$ | $135$ | $115$ | $25$ |
| Daily pocket allowance (in ₹) | $11-13$ | $13-15$ | $15-17$ | $17-19$ | $19-21$ | $21-23$ | $23-25$ |
| Number of children | $7$ | $6$ | $9$ | $13$ | $f$ | $5$ | $4$ |
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