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Page No 98:

Question 1:

Now look at this problem: the heights of 40 people, in centimeters, are given below. Make a frequency table of this data.

175

 

143

 

177

 

163

 

170

 

168

 

156

 

168

 

145

 

160

 

159

 

154

 

148

 

166

 

168

 

150

 

164

 

160

 

176

 

163

 

140

 

170

 

165

 

168

 

169

 

174

 

158

 

148

 

155

 

165

 

162

 

167

 

171

 

165

 

171

 

167

 

159

 

171

 

167

 

180

 

 

Answer:

The given ungrouped data consists of heights of 40 people ranging from 140 cm to 180 cm.

The frequency table of the given data can be shown as follows:

Height

(cm)

 

Number of People

 

140150

 

5

 

150160

 

7

 

160170

 

18

 

170180

 

9

 

180190

 

1

 

 



Page No 99:

Question 1:

Look at this table. It classifies the days of the months of June, July and August according to the rainfall received in a locality.

Rain (mm)

 

Days

 

10 − 20

 

8

 

20 − 30

 

10

 

30 − 40

 

14

 

40 − 50

 

20

 

50 − 60

 

15

 

60 − 70

 

8

 

70 − 80

 

7

 

80 − 90

 

6

 

90 − 100

 

4

 

Draw a histogram for this data.

 

Answer:

The classes in the given table can be arranged in a histogram plot as follows:

 



Page No 104:

Question 1:

The sizes of shirts sold in a shop are as follows:

36, 38, 30, 40, 34, 42, 30, 46, 40, 38, 34, 40, 38, 40, 42, 30, 40, 38, 44, 40, 32, 40, 32, 44, 38

Compute the mean, median and mode. Among these, which is the most important one for the seller? Discuss.

 

Answer:

Mean of the given data =

=

= 37.84

By arranging the given data in ascending order, we have:

30, 30, 30, 32, 32, 34, 34, 36, 38, 38, 38, 38, 38, 40, 40, 40, 40, 40, 40, 40, 42, 42, 44, 44, 46

Median of a data is the middle observation of the data.

Median of the given data = 13th observation = 38

The observation which is repeated most is the mode of the data.

In the given data, the observation 40 is repeated 7 times.

Mode of the given data = 40

As the sale of a seller depends on the demand of the product therefore, the size of the shirt which is mostly sold is most important for the seller as his sale for that particular size of shirt is more than the other sizes.

Thus, mode is most important for the seller.

 



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