Question

IS
Q.9 Amit grows cucumbers in his farm. He collects some of
them and measures their lengths and represents his data
as shown below. When calculated using assumed mean
method, Amit gets the mean length of the cucumber as
147.25 cm. Which of the following statement is true?*
Length (in mm)
110-120
120 - 130
130 - 140
140 - 150
150 - 160
160 - 170
170-180
Number of cucumbers
TO
18
12
n
26
11
19
O
There are a smaller number of cucumbers of length (140 -
150) mm than of length (120-130) mm
O
There are a smaller number of cucumbers of length (140 -
150) mm than of length (170-180) mm.
O
There are a greater number of cucumbers of length (140 -
150) mm than of length (150-160) mm
O
There are a greater number of cucumbers of length (140 -
150) mm than of length (130-140) mm​

Answer 1

the following statements are true:

• the following statements are true:There are a smaller number of cucumbers of length (140 - 150) mm than of length (120-130) mm
• the following statements are true:There are a smaller number of cucumbers of length (140 - 150) mm than of length (120-130) mmThere are a smaller number of cucumbers of length (140 - 150) mm than of length (170-180) mm.

To Find:

The question is asking which of the following statements is true:

There are a smaller number of cucumbers of length (140 - 150) mm than of length (120-130) mm

There are a smaller number of cucumbers of length (140 - 150) mm than of length (170-180) mm.

There are a greater number of cucumbers of length (140 - 150) mm than of length (150-160) mm

There are a greater number of cucumbers of length (140 - 150) mm than of length (130-140) mm

Given:

The question is about a farmer who grows cucumbers and measures their lengths. The data of the lengths and number of cucumbers is given in a table, with the lengths range from 110-120 mm to 170-180 mm and the number of cucumbers in each range is also provided. The farmer calculated the mean length of the cucumbers using the assumed mean method and got 147.25 cm.

Solution:

From the given data, we can see that the number of cucumbers in the length range of 140 - 150 mm is 26.

There are a smaller number of cucumbers of length (140 - 150) mm than of length (120-130) mm

There are a smaller number of cucumbers of length (140 - 150) mm than of length (170-180) mm.

The above two statements are true as the number of cucumbers in range 140-150 is less than that of range 120-130 and 170-180

There are a greater number of cucumbers of length (140 - 150) mm than of length (150-160) mm

There are a greater number of cucumbers of length (140 - 150) mm than of length (130-140) mm

The above two statements are false as the number of cucumbers in range 140-150 is more than that of range 150-160 and 130-140

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