In this chapter, we provide RD Sharma Class 7 ex 23.4 Solutions Chapter 23 Data Handling II (Central Values) for English medium students, Which will very helpful for every student in their exams. Students can download the latest RD Sharma Class 7 ex 23.4 Solutions Chapter 23 Data Handling II (Central Values) Maths pdf, Now you will get step by step solution to each question.

Textbook | NCERT |

Class | Class 7 |

Subject | Maths |

Chapter | Chapter 23 |

Chapter Name | Data Handling II (Central Values) |

Exercise | Ex 23.4 |

Table of Contents

**RD Sharma Solutions for Class 7 Chapter 23 ****Data Handling II (Central Values)** **Ex 23.4 Download PDF**

**Data Handling II (Central Values)**

**Chapter 23 Data Handling II (Central Values) Exercise – 23.4**

**Question: 1**

Find the mode and median of the data: 13, 16, 12, 14, 19, 12, 14, 13, 14

By using the empirical relation also find the mean.

**Solution:**

Arranging the data in ascending order such that same numbers are put together, we get:

12, 12, 13, 13, 14, 14, 14, 16, 19

Here, n = 9.

Here, 14 occurs the maximum number of times, i.e., three times. Therefore, 14 is the mode of the data.

Now,

Mode = 3 Median – 2 Mean

→ 14 = 3 x 14 – 2 Mean

→ 2 Mean = 42 – 14 = 28

→ Mean = 28 ÷ 2 = 14.

**Question: 2**

Find the median and mode of the data: 35, 32, 35, 42, 38, 32, 34

**Solution:**

Arranging the data in ascending order such that same numbers are put together, we get:

32, 32, 34, 35, 35, 38, 42

Here, n = 7

Here, 32 and 35, both occur twice. Therefore, 32 and 35 are the two modes.

**Question: 3**

Find the mode of the data: 2, 6, 5, 3, 0, 3, 4, 3, 2, 4, 5, 2, 4

**Solution:**

Arranging the data in ascending order such that same values are put together, we get:

0, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6

Here, 2, 3 and 4 occur three times each. Therefore, 2, 3 and 4 are the three modes.

**Question: 4**

The runs scored in a cricket match by 11 players are as follows:

6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 10

Find the mean, mode and median of this data.

**Solution:**

Arranging the data in ascending order such that same values are put together, we get:

6, 8, 10, 10, 15, 15, 50, 80, 100, 120

Here, n = 11

Here, 10 occur three times. Therefore, 10 is the mode of the given data.

Now,

Mode = 3 Median – 2 Mean

→ 10 = 3 x 15 – 2 Mean

→ 2 Mean = 45 – 10 = 35

→ Mean = 35 ÷ 2 = 17.5

**Question: 5**

Find the mode of the following data:

12, 14, 16, 12, 14, 14, 16, 14, 10, 14, 18, 14

**Solution:**

Arranging the data in ascending order such that same values are put together, we get:

10, 12, 12, 14, 14, 14, 14, 14, 14, 16, 18

Here, clearly, 14 occurs the most number of times.

Therefore, 14 is the mode of the given data.

**Question: 6**

Heights of 25 children (in cm) in a school are as given below:

168, 165, 163, 160, 163, 161, 162, 164, 163, 162, 164, 163, 160, 163, 163, 164, 163, 160, 165, 163, 162

What is the mode of heights?

Also, find the mean and median.

**Solution:**

Arranging the data in tabular form, we get:

Height of Children (cm) | Tally Bars | Frequency |

160 | lll | 3 |

161 | l | 1 |

162 | llll | 4 |

163 | llll llll | 10 |

164 | lll | 3 |

165 | lll | 3 |

168 | l | 1 |

Total | 25 |

Here, n = 25

Here, clearly, 163 cm occurs the most number of times. Therefore, the mode of the given data is 163 cm.

Mode = 3 Median – 2 Mean

→ 163 = 3 x 163 – 2 Mean

→ 2 Mean = 326

→ Mean = 163 cm.

**Question: 7**

The scores in mathematics test (out of 25) of 15 students are as follows:

19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20

Find the mode and median of this data. Are they same?

**Solution:**

Arranging the data in ascending order such that same values are put together, we get:

5, 9, 10, 12, 15, 16, 19, 20, 20, 20, 20, 23, 24, 25, 25

Here, n = 15

Here, clearly, 20 occurs most number of times, i.e., 4 times. Therefore, the mode of the given data is 20.

Yes, the median and mode of the given data are the same.

**Question: 8**

Calculate the mean and median for the following data:

Marks: | 10 | 11 | 12 | 13 | 14 | 16 | 19 | 20 |

Number of Students: | 3 | 5 | 4 | 5 | 2 | 3 | 2 | 1 |

**Solution:**

Using empirical formula, find its mode.

Calculation of Mean

**Question: 9**

The following table shows the weights of 12 persons.

Weight (in kg): | 48 | 50 | 52 | 54 | 58 |

Number of persons: | 4 | 3 | 2 | 2 | 1 |

**All Chapter RD Sharma Solutions For Class 7 Maths**

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