Question

A fruit vendor was selling apples in packing boxes containing varying
amount of apples.
No. of apples
40-45
25-30
25
30-35
34
35-40
50
45-50
38
50-55
13
No. of boxes
42
i.
ii.
Estimate the modal number of apples kept in a box.
a) 37
b) 38.3
c) 36.7
d) 53.8
What will be the lower limit of median class.
a) 40
b) 45
c) 30
d) 35
Which of the following is not a measure of central tendency?
a) Class interval b) median c) mean d) mode
The difference between upper limit of modal class and median class
is.
a) 70
b) 0
c) 5
d) 80
J.​

Answer 1

Answer:

(1)38.3

(2)50

(3)class interval

(4)0

Answer 2

Given : A fruit vendor was selling apples in packing boxes containing varying  amount of apples.

To Find : Estimate the modal number of apples kept in a box.

What will be the lower limit of median class.

Which of the following is not a measure of central tendency?

The difference between upper limit of modal class and median class

Solution:

25 - 30                 25         25

30 - 35                 34          59

35 - 40                 50         109

40 - 45                 42          151

45 - 50                 38          189

50 - 55                 13          202  

Modal Class  35 - 40

Mode = 35   + 5 x ( 50 - 34)/(50 - 34 + 50 - 42)

= 35 + 5 x 16 / 24

= 35 +  3.33

= 38.33

38.3  is  modal number of apples kept in a box.

202/2 = 101

35 - 40   is Median class

lower limit of median class. = 35

Class interval is not a measure of central tendency

The difference between upper limit of modal class and median class

is. 0  

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